problem solving addition and subtraction problems

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Addition & subtraction word problems

Add & subtract numbers < 50.

These grade 1 word problems worksheets involve the addition and subtraction of 1 and 2 digit numbers. Some problems have 3 or more terms.

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Unit 2: Addition and subtraction

About this unit.

In this topic, we will add and subtract whole numbers. The topic starts with 1+1=2 and goes through adding and subtracting within 1000. We will cover regrouping, borrowing, and word problems.

Basic addition and subtraction

• Basic addition (Opens a modal)
• Basic subtraction (Opens a modal)
• Add and subtract: pieces of fruit (Opens a modal)
• Relating addition and subtraction (Opens a modal)
• Add within 5 7 questions Practice
• Subtract within 5 7 questions Practice
• Add within 10 7 questions Practice
• Subtract within 10 7 questions Practice
• Relate addition and subtraction 7 questions Practice
• Getting to 10 by filling boxes (Opens a modal)
• Adding to 10 (Opens a modal)
• Make 10 (grids and number bonds) 7 questions Practice
• Make 10 7 questions Practice

Addition and subtraction word problems within 10

• Addition word problems within 10 (Opens a modal)
• Subtraction word problems within 10 (Opens a modal)
• Addition word problems within 10 7 questions Practice
• Subtraction word problems within 10 7 questions Practice

Addition and subtraction within 20

• Adding within 20 using place value blocks (Opens a modal)
• Adding within 20 using ten frames (Opens a modal)
• Adding 7 + 6 (Opens a modal)
• Adding 8 + 7 (Opens a modal)
• Adding with arrays (Opens a modal)
• Subtracting different ways (Opens a modal)
• Subtract within 20 using a number line (Opens a modal)
• Subtract within 20 using place value blocks (Opens a modal)
• Subtract within 20 using ten frames (Opens a modal)
• Subtracting 14 - 6 (Opens a modal)
• Add within 20 visually 7 questions Practice
• Add within 20 7 questions Practice
• Adding with arrays 4 questions Practice
• Subtract within 20 visually 7 questions Practice
• Subtract within 20 7 questions Practice
• Find missing number (add and subtract within 20) 7 questions Practice
• Add & subtract within 20 7 questions Practice

Word problems within 20

• Addition and subtraction word problems: superheroes (Opens a modal)
• Addition and subtraction word problems: gorillas (Opens a modal)
• Addition and subtraction word problems 1 7 questions Practice
• Addition and subtraction word problems 2 7 questions Practice
• Add and subtract within 20 word problems 7 questions Practice

Word problems with "more" and "fewer"

• Comparison word problems: marbles (Opens a modal)
• Comparison word problems: roly-polies (Opens a modal)
• Word problems with "more" and "fewer" 2 7 questions Practice

Intro to addition with 2-digit numbers

• Adding 2-digit numbers without regrouping (Opens a modal)
• Adding 2-digit numbers without regrouping 1 (Opens a modal)
• Example: Adding 2-digit numbers (no carrying) (Opens a modal)
• Breaking apart 2-digit addition problems (Opens a modal)
• Regrouping to add 1-digit number (Opens a modal)
• Adding up to four 2-digit numbers 4 questions Practice
• Break apart 2-digit addition problems 4 questions Practice
• Regroup when adding 1-digit numbers 7 questions Practice

Intro to subtraction with 2-digit numbers

• Subtracting two-digit numbers without regrouping (Opens a modal)
• Subtracting 2-digit numbers without regrouping 1 (Opens a modal)
• Subtracting a 1-digit number with regrouping (Opens a modal)
• Subtract within 100 using place value blocks 4 questions Practice
• Subtract within 100 using a number line 4 questions Practice
• Subtract 1-digit numbers with regrouping 7 questions Practice

Strategies for adding and subtracting within 100

• Adding 53+17 by making a group of 10 (Opens a modal)
• Adding by making a group of 10 (Opens a modal)
• Strategies for adding 2-digit numbers (Opens a modal)
• Addition and subtraction with number lines (Opens a modal)
• Add 2-digit numbers by making tens 4 questions Practice
• Add 2-digit numbers by making tens 2 4 questions Practice
• Select strategies for adding within 100 4 questions Practice
• Add within 100 using a number line 4 questions Practice

Addition within 100

• Understanding place value when adding ones (Opens a modal)
• Understanding place value when adding tens (Opens a modal)
• Adding with regrouping (Opens a modal)
• Add within 100 using place value blocks 4 questions Practice

Subtraction within 100

• Subtracting with regrouping (borrowing) (Opens a modal)

Word problems within 100

• Adding and subtracting on number line word problems (Opens a modal)
• Adding two digit numbers on a number line (Opens a modal)
• Subtraction word problem: tennis balls (Opens a modal)
• Addition word problem: horses (Opens a modal)
• Subtraction word problem: snow (Opens a modal)
• Subtraction word problem: crayons (Opens a modal)
• Multi step addition word problem (Opens a modal)
• Multi-step subtraction word problem (Opens a modal)
• Add and subtract on the number line word problems 4 questions Practice
• Addition word problems within 100 4 questions Practice
• Subtraction word problems within 100 4 questions Practice
• 2-step addition word problems within 100 4 questions Practice
• 2-step subtraction word problems within 100 4 questions Practice

Adding 1s, 10s, and 100s

• Adding 10 or 100 (Opens a modal)
• Adding 1s, 10s, and 100s (Opens a modal)
• Adding 3-digit numbers (no regrouping) (Opens a modal)
• Add 10s and 100s (no regrouping) 4 questions Practice
• Add within 1,000 using place value blocks 4 questions Practice

Subtracting 1s, 10s, and 100s

• Subtracting 1, 10, or 100 (Opens a modal)
• Subtracting 1s, 10s, and 100s (Opens a modal)
• Subtracting 3-digit numbers (no regrouping) (Opens a modal)
• Subtract 10s and 100s (no regrouping) 7 questions Practice
• Subtract within 1,000 using place value blocks 4 questions Practice

Strategies for adding 2- and 3-digit numbers

• Breaking apart 3-digit addition problems (Opens a modal)
• Solving 3-digit addition in your head (Opens a modal)
• Addition using groups of 10 and 100 (Opens a modal)
• Adding and subtracting on number line (Opens a modal)
• Break apart 3-digit addition problems 4 questions Practice
• Add using groups of 10 and 100 4 questions Practice
• Add on a number line 4 questions Practice
• Select strategies for adding within 1000 4 questions Practice

Addition with regrouping within 1000

• Using place value to add 3-digit numbers: part 2 (Opens a modal)
• Adding 3-digit numbers (Opens a modal)
• Add within 1000 4 questions Practice

Subtraction with regrouping within 1000

• Worked example: Subtracting 3-digit numbers (regrouping) (Opens a modal)
• Worked example: Subtracting 3-digit numbers (regrouping twice) (Opens a modal)
• Worked example: Subtracting 3-digit numbers (regrouping from 0) (Opens a modal)
• Subtracting in your head (no regrouping) (Opens a modal)
• Subtract on a number line 4 questions Practice
• Subtract within 1000 4 questions Practice

Addition and subtraction missing value problems

• Missing numbers in addition and subtraction (Opens a modal)
• Missing number for 3-digit addition within 1000 (Opens a modal)
• Find the missing number (add and subtract within 100) 4 questions Practice
• Find the missing number (add and subtract within 1000) 4 questions Practice

Addition and subtraction greater than 1000

• Relate place value to standard algorithm for multi-digit addition (Opens a modal)
• Multi-digit addition with regrouping (Opens a modal)
• Multi-digit subtraction with regrouping: 6798-3359 (Opens a modal)
• Multi-digit subtraction with regrouping: 7329-6278 (Opens a modal)
• Multi-digit subtraction with regrouping twice (Opens a modal)
• Alternate mental subtraction method (Opens a modal)
• Adding multi-digit numbers: 48,029+233,930 (Opens a modal)
• Relate place value to standard algorithm for multi-digit subtraction (Opens a modal)
• Multi-digit subtraction: 389,002-76,151 (Opens a modal)
• Multi-digit addition 4 questions Practice
• Multi-digit subtraction 4 questions Practice

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Addition and Subtraction Word Problems Worksheets

What makes our pdf worksheets on addition and subtraction word problems indispensable is the fact that they give students tons of practice in the real-life application of key math aspects. Children in kindergarten through grade 5 will wrap their head around the given scenarios and identify the operation required. Choose from 1-digit, 2-digit, 3-digit, and multi-digit addition and subtraction; instantly review the work using the included answer key. Our free worksheets help build a liking for the topic!

Addition and Subtraction Word Problems | Within 10

Ready to redefine your practice sessions involving finding sums and differences? This section will make a great addition to your repertoire. Begin your addition and subtraction within 10 here!

• Download the set

Addition and Subtraction Word Problems | Within 20

Get printable word problems for kindergarten, 1st grade, and 2nd grade students here. Work through engaging situations involving addition and subtraction of numbers within 20.

2-Digit Addition and Subtraction Word Problems | Without Regrouping

A wealth of addition and subtraction word problems without regrouping await! Test the knowledge acquired and review skills in finding the sum or difference of double-digit numbers.

2-Digit Addition and Subtraction Word Problems | With Regrouping

Ride on our printable worksheets that help children practice regrouping through a solid mix of real-life scenarios. Practice borrowing and carry forwarding while performing both operations.

3-Digit and 2-Digit Addition and Subtraction Word Problems

Watch how grateful the aspiring mathematicians in grade 2 and grade 3 are to word problems for helping them ease into this topic. Mastery in adding and subtracting 3-digit and 2-digit numbers begins here!

3-Digit Addition and Subtraction Word Problems

Put passion into your practice sessions with our addition and subtraction word problems within 1000. The carefully-chosen scenarios provide tons of support so skills thrive in no time.

Multi-Digit Addition and Subtraction Word Problems

There's no such thing as 'enough practice' when it comes to solving addition and subtraction word problems. The key is to continue the prepping with our pdfs for the 4th grade and 5th grade students.

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Addition and subtraction

Here you will learn strategies on how to add and subtract, including using visual models, the number line, and algorithms.

Students will first learn about addition and subtraction in kindergarten, continue to add and subtract larger numbers in 2 nd and 3 rd grade, and learn the standard algorithm in 4 th grade. In 7 th grade, students learn to add and subtract with integers and then rational numbers.

What are addition and subtraction?

Addition is the operation of combining two or more numbers together. Subtraction is the operation of taking away from a number.

Students as early as pre-k have a basic, informal understanding of addition and subtraction. By the end of Kindergarten, students can operate within 10, heavily relying on models like counters or 10 frames to solve.

By the end of first grade, students should be able to add and subtract fluently within 20. As students work on repeatedly adding and subtracting with single digit numbers, they deepen their number sense around the operations by solving in different ways.

This includes beginning to build number bonds.

For example,

• Seeing 5+4 and knowing the sum is 9 without having to solve.
• Seeing 9-4 and knowing the difference is 5 without having to solve.

This aids students as they go into 2 nd and 3 rd grade and learn to add and subtract multi-digit numbers (within 1,000 ). At this level, students are still relying on number relationships, properties of operations, place value ideas, models, etc. to solve.

When adding 3- digit numbers, students may combine each place value of the addends separately.

Hundreds \hspace{1.1cm} Tens \hspace{1.2cm} Ones

200 + 100 \hspace{1cm} 30 + 40 \hspace{1cm} 5 + 9 \hspace{1cm}

= 300 \hspace{1.5cm} = 70 \hspace{1.3cm} = 14

And then add in the partial sums:

300+70+14=384

When subtracting numbers that are larger, students may use what they know about place value to solve.

The distance from 781-395 is the same as 786-400, it is just shifted up 5 on the number line.

Now solve 786-400 by taking away 4 hundreds.

786-400=386, so 781-395=386.

Once students have developed a flexible understanding of multi-digit addition and multi-digit subtraction in 2 nd grade and 3 rd grade, they learn the standard algorithm in 4 th grade.

It is important to consider the place value of each digit and line up the corresponding digits in each number.

In 5 th grade and 6 th grade, students continue to add and subtract with whole numbers and apply these strategies to decimal operations.

See also: Adding and subtracting decimals

In 7 th grade, students learn to add and subtract integers and rational numbers.

You can add and subtract integers using visual models or a number line.

Step-by-step guide: Adding and subtracting integers

You can also add and subtract rational numbers using visual models or a number line.

[FREE] Addition and Subtraction Worksheet (Grade 2 to 7)

Use this quiz to check your grade 2, 3, 4 and 7 students’ understanding of addition and subtraction. 15+ questions with answers covering a range of 2nd, 3rd, 4th and 7th grade addition and subtraction topics to identify areas of strength and support!

Common Core State Standards

How does this apply to 2 nd grade math, 3 rd grade math, 4 th grade, and 7 th grade math?

• Kindergarten – Operations and Algebraic Thinking (K.OA.A.2) Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
• Grade 1 – Operations and Algebraic Thinking (1.OA.C.6) Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8+6=8+2+4=10+4=14 ); decomposing a number leading to a ten (e.g., 13-4=13-3-1=10-1=9 ); using the relationship between addition and subtraction (e.g., knowing that 8+4=12, one knows 12-8=4 ); and creating equivalent but easier or known sums (e.g., adding 6+7 by creating the known equivalent 6+6+1=12+1=13 ).
• Grade 2 – Operations and Algebraic Thinking (2.OA.A.1) Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• Grade 2 – Numbers and Operations in Base Ten (2.NBT.B.5) Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
• Grade 3 – Numbers and Operations in Base Ten (3.NBT.A.2) Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
• Grade 4 – Numbers and Operations in Base Ten (4.NBT.A.4) Fluently add and subtract multi-digit whole numbers using the standard algorithm.
• Grade 7- The Number System (7.NS.A.1) Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
• Grade 7- The Number System (7.NS.A.3) Solve real-world and mathematical problems involving the four operations with rational numbers.

How to add and subtract

There are a lot of ways to add and subtract. For more specific step-by-step guides, check out the individual pages linked in the “What are addition and subtraction?” section above or read through the examples below.

Addition and subtraction examples

Example 1: two digit addition.

Solve 34 + 58.

Choose a strategy.

You can use a model of the tens and ones.

Combine the tens and ones.

You can create one new group of ten from 10 ones.

This leaves 9 tens and 2 ones, which is 92.

So, 34+58=92.

Example 2: three digit subtraction

Solve 340-291.

You can use a number line to count up to 340 from 291.

The difference between 291 and 340 is 49.

So, 340-291=49.

Example 3: addition with the algorithm

Add 4,297 + 381 with the algorithm.

Stack the numbers and line up the place values.

Add each column from right to left and regroup the numbers when necessary.

Write your final answer and check to make sure your answer is reasonable.

You can estimate to decide if your answer is reasonable.

4,297 rounds to 4,300.

381 rounds to 400.

4,300+400=4,700, so the answer should be close to 4,700. Since 4,678 is close, the answer is reasonable.

4,297+381=4,678

Example 4: subtraction word problem with the algorithm

After the harvest, a farmer has 2,148 pears. 213 of the pears are rotten and cannot be sold. If the farmer sells the rest, how many pears will she sell?

Write an equation that represents the word problem.

2,148 - 213 = ⬜

Subtract each column from right to left and exchange for a \bf{10} when necessary.

2,148 rounds to 2,000.

213 rounds to 200.

2,000-200=1,800, so the answer should be close to 1,800. Since 1,935 is close, the answer is reasonable.

2,148-213=1,935

Example 5: subtracting integers with models

Subtract: -4 -(-6)=?

Represent the problem with counters, identifying zero pairs with addition or adding zero pairs when necessary for subtraction.

-4 - (-6) starts with -4 and removes -6. Add 2 zero pairs in order to remove -6.

The answer is the leftover counters.

There are two positive counters left.

Example 6: adding rational numbers with the algorithm

Solve -34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right) .

Make sense of the calculation – relating to positive numbers when necessary.

-34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right) combines two negative amounts, which do not create zero pairs.

This means the answer will be even more negative. You can use the algorithm for addition to see what the total amount is.

Use an algorithm.

\begin{aligned}& 34 \frac{2}{3}+567 \frac{3}{4} \\\\ & =34 \frac{2 \times 4}{3 \times 4}+567 \frac{3 \times 3}{4 \times 3} \\\\ & =34 \frac{8}{12}+567 \frac{9}{12} \\\\ & =601 \frac{17}{12} \text { or } 602 \frac{5}{12}\end{aligned}

Decide if the final answer is positive or negative.

Adding two negative numbers results in a negative number. For example, if you started on the number line and went back 34 \cfrac{2}{3} and then you went back 567 \cfrac{3}{4} more, you are further down the negative side of the number line.

-34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right)=-602 \cfrac{5}{12}

Teaching tips for addition and subtraction

• Sufficient time using place value blocks, 100 s charts, grids and other interactive manipulatives should be provided to students when they are first learning to operate with any new set of numbers. The Common Core Standards intentionally allow time for students to develop an understanding of the operation, before learning how to use the algorithm.
• When students are first learning, encourage them to make connections between addition problems and subtraction problems. As students learn how to operate with any new set of numbers (whole, integer, or rational), it is crucial that they see the connection, as this opens the door to solving strategies, helps them make sense of the algorithms, and can be used to decide if an answer is reasonable. Understanding this relationship is also important for later topics like solving equations.
• When choosing printable math worksheets, look for resources that have missing numbers in all parts of the equation (start unknown, change unknown, result unknown). This helps students develop flexible ideas about the operations and can help prevent mindlessly grabbing numbers from word problems.
• Instead of giving students subtraction worksheets that have dozens of questions to solve, prioritize worksheets that allow students to solve in more than one way and that encourage them to consider the reasonableness of their answer. While there may be times that students are expected to solve in a larger quantity (for example, when learning the algorithm or completing a math review packet), the majority of student work should focus on depth not breadth.

Easy mistakes to make

• Not considering the place value of numbers when solving When using strategies to solve, students may choose a strategy they do not fully understand, causing them to misuse place value. For example, 56 + 78 Thinking that they can just add 5+6+7+8.
• Thinking subtraction always leads to a smaller number (and vice versa with addition) Students often create this false idea because subtracting a larger number from a smaller number or adding negative numbers are not addressed in elementary school. As students begin to operate with integers, it is important to consistently ask them to make sense of an equation before operating. This may be explaining the operation in their own words or using a model to show what is happening.

• Not making sense of operations with rational numbers By the time students operate with rational numbers, they will have learned many algorithms. Though algorithms can be useful, if used in a rush it is easy to make mistakes. Encourage students to think about a reasonable answer before solving. This can help them catch mistakes.

Practice addition and subtraction questions

1. Solve 39 + 46.

This leaves 8 tens and 5 ones, which is 85.

2. Solve 763-594.

You can use a number line to count up to 594 from 763.

The difference between 594 and 763 is 169.

So, 763-594=169.

3. Solve 5,621 + 3,570.

To use the standard algorithm, stack the numbers and line up the place values.

5,621 rounds to 6,000.

3,570 rounds to 4,000.

6,000+4,000=10,000, so the answer should be close to 10,000.

Since 9,191 is close, the answer is reasonable.

5,621+3,570=9,191

4. Jerome has 18,341 points in a game. Yasmine has 8,239 points in the same game. How many more points does Jerome have?

18,341-8,239 = ⬜

To solve with the standard algorithm, stack the numbers and line up the place values.

18,341 rounds to 18,000.

8,239 rounds to 8,000.

18,000-8,000=10,000, so the answer should be close to 10,000.

Since 10,102 is close, the answer is reasonable.

18,341-8,239=10,102

5. Subtract: -12-3= \, ?

-12-3 starts with -12 and removes 3 positives. Add 3 zero pairs in order to remove 3.

There are 15 negative counters left.

You can also think of this as the distance from 3 to -12.

6. Solve -84.4+391.02= \, ?.

-84.4 + 391.02 combines negative and positive values, which creates zero pairs. This means that -84.4+391.02=391.02-84.4, so you can use the standard algorithm to solve.

Adding a smaller negative number to a larger positive results in a positive answer.

-84.4+321.02=306.62

Addition and subtraction FAQs

Regrouping is when you are adding and have more than 10 ones, tens, hundreds, etc. and you need to regroup to create a new group of ten, hundred, etc. For example, if you add 27 + 18, you will have 3 tens and 15 ones. You regroup 10 of the ones to be a new group of ten, so you are left with 4 tens and 5 ones, or 45.

Exchanging is when you are subtracting and you do not have enough ones, tens, hundreds, etc. to take away and you need to exchange for a new group of ten, hundred, etc. For example, if you subtract 27 - 18, you start with 7 ones and need to take away 8. There are not enough, so you exchange one of the tens in 27 for ones. Then you have 1 ten and 17 ones. Now you can subtract 8 ones from 17 ones, leaving 9 ones.

In 4 th grade students learn to add and subtract fractions with common denominators. In fifth grade they learn to add and subtraction fractions with uncommon denominators. Then in 7 th grade they are expected to add and subtract negative fractions. See also: Adding and subtracting fractions

The next lessons are

• Multiplication and division
• Types of numbers
• Rounding numbers
• Adding and subtracting rational numbers
• Adding and subtracting negative numbers
• Add and subtract within 100
• Standard algorithm addition

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[FREE] Common Core Practice Tests (Grades 3 to 6)

Prepare for math tests in your state with these Grade 3 to Grade 6 practice assessments for Common Core and state equivalents.

40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!

Privacy Overview

Solving Multi-Step Addition and Subtraction Word Problems

Solving multi-step addition and subtraction word problems can help students see the relationship between operations, as well as practice their calculations.  When I teach subtraction, I also like to show how students can use addition to check their work!  Students often think that they are done when they arrive at the answer, but it is my mission to show them that they can do just one more step to check and make sure their work is correct.  Addition and subtraction work together to help each other out.

The Art of Check Writing

Although the art of writing a check and balancing a checkbook is going away, those processes still have great value for practicing addition and subtraction.  I like to present math problems with money, budgets and purchasing items, but these days students tell me just to “charge it to a card”.  I have been tempted to find my old carbon copy paper receipts and bring them into class.  Just the other week, we had our lawnmower repaired.  The man ran a small, old business and he wrote out all of the receipts and transactions by hand, using the box with carbon copy receipts.  He wrote down the price of the parts, added the taxes and charges, and summed it up – BY HAND!  The only thing missing for a good math problem was writing the word form onto a check.

Set up Shop in Your Classroom

So I thought, why not create a shop in my classroom!  Students can be the shopkeepers and the customers, but no charge cards allowed!  Shopkeepers would have to write the receipt, and the customers would have to write a check for the exact amount.  The students would have to read scenarios and decide what to buy.  I could even give them a budget or a sales goal and they would have to periodically check the difference by subtracting.  It would be a lesson embedded in real life addition and subtraction word problems.

Set up for Solving Multi-Step Addition and Subtraction Word Problems

• Print or create price tags from page 6 of the worksheet for the list of items located pages 7-10.
• Set up “items” and pictures around the room. There are pictures provided on pages 7-10 on the worksheet , but you can always supplement or creatively add items of your own.
• Set up 5 shopkeeper stations with blank copies of “Receipts.” (See worksheet page 3)
• Set up each shop with a Sales Record to keep track of sales and income. Each shop has a distinct sales goal, such as $99, $250, $400, $505, $888.
• $99 – Bargain Basement
• $250 – Quarter Millie’s Party Store
• $400 – Four Double Zero
• $505 – 505 Faves
• $888 – Great Eights
• Provide each student with 6 blank checks and 1 balance sheet. (See worksheet pages 4-5.)
• Provide each student with a copy of the Addition and Subtraction Worksheet .
• If you have little bells or signs, you can set up the shopkeeper with things like an “Open/Closed” sign or “Ring bell for service”.

Launch the Solving Multi-Step Addition and Subtraction Word Problems

If you have time, set up some open/closed shop signs to create the feel of a store in the classroom.  You can even have students create a checkbook with their checks.

Introduce the activity by saying “Today we are going to go shopping!”  Explain that everyone will rotate through and get a chance to run a shop as well as go shopping for items on the worksheet.  The students will not actually pick up items and keep them, but you can have things on display or just have photos and a price list.

Explain the vocabulary and show an example of each: (All are found on the worksheet .)

this is used to write an exact amount of money.  It takes the money out of your bank account and gives it to the store or person it is written to when cashed at the bank.

Balance Sheet

This is a record of how much money you have and how much you spend.  The balance is the amount of money people have to spend.  Use the balance sheet to keep track of the money.  Tell the students that everyone starts with a balance of $445.00. The shoppers can write a brief description of what they buy in the white rows and then subtract the amount spent from the balance.  Explain that the students can do the subtraction vertically in the balance column.  The shaded rows show the running balance, and the white rows show how much is spent each time.  Subtract any money spent to get the new balance.Tell your students “When you reach zero – you are out of money!”

This is a set amount of money made from selling goods that sales people try to reach.  If you have a sales goal, you can subtract any sales to see how much more money you need to reach the goal.

This lists the items being purchased and how much they each cost.  The receipt also gives the total cost of the purchase.  It is a record to show the sale.

Use this scenario to model the work students will do:

“You walk into the store Four Double Zero and  decide to buy headphones for $125 and a case for $34.  What is your purchase price?”

Together, work through the addition.  Remind the students that BOTH the customer and the shopkeeper must do the addition.  Then the shopkeeper tells the customer what to pay.  (There are no taxes or charges unless indicated in the problem on the worksheet).

Pass Out Student Checkbooks

Give every student their checks or checkbook.  Use the first blank check to write the demo check together.  Every check must have:

• The name of the store or person you are writing the check to
• The purchase amount in word form
• The purchase amount in standard form
• The Memo line – items purchased

Then demonstrate the following:

• The customer must subtract: $455 – $159
• The Storekeeper must subtract it from the Sales Goal $400- $159

After the demo, space the students out among the stores.  Assign 1-2 students as shopkeepers at each shop and have the remaining students walk around and shop using the worksheet scenarios.

You can provide 5-10 minutes of shopping and then switch roles, or you can walk around and switch out shopkeepers as you see fit.

• Each student has a Budget of $455 for their entire shopping trip.
• The scenarios on the worksheet ask students to buy at least 2 items from each shop. Some of the word problems are set, others have a choice of items.
• Customers indicate the items and say the prices. The shopkeeper writes the prices and adds them up.  The Customer also adds them up and they check.
• Once the price is determined, the customer writes a check using standard and word form and the name of the store, then signs and dates it.
• The customer then subtracts the purchase from his/her running balance.
• The shopkeeper cashes the check, adds it to the sales list and subtracts it from the sales goal for that shop.
• Customers must check their balance after each purchase. Customers will keep a running balance throughout their shopping experience.
• Shopkeepers must check their Sales goals and how much more money they need after each customer. Shopkeepers can keep a running total while they are in charge of that shop.  However, when a new shopkeeper comes in, they must start with the original sales goal when subtracting.
• Depending on the class size, start each shop with 1-2 shopkeepers. Then have the remaining students go around to the available shopkeepers and work through their transactions.  Switch roles when appropriate.

Reflection on Solving Multi-Step Addition and Subtraction Word Problems

Walk around and help the shopkeepers and the customers as they work through the purchasing process.

At the end, share what people decided to buy and talk about the processes of making a transaction.

Ask questions such as:

• Which store did you like the best?
• Did you ever add up the numbers and get a different sum than the shopkeeper/customer? How did you resolve the price issue?
• Why do you need to subtract your purchases from the budget?
• How did you keep track of your purchases?
• Did any shopkeepers reach their sales goal before leaving their “shift”?
• In the end, how could you check the total amount of purchases you made today? Did you stay under budget?
• Did anyone go over their budget?
• Have students create a price list of items and write 4 of their own word problems. Give them a sales goal and come up with 4 different ways to reach that goal.  Can they hit the goal exactly?
• Research prices of items, but make sure the students find whole numbers.  (Many times ticket prices tend to be whole numbers).  Ask how much money the school would need to budget if the class went on a trip to that theater, sports game, or show.

FREE Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

These are all PDF Files. They will open and print easily. The Student Edition Files are labeled SE and the Teacher Editions Files are labeled TE. Click the links below to download the different resources.

2-4 Assignment SE – Solving Multi-Step Addition and Subtraction Word Problems 2-4 Assignment TE – Solving Multi-Step Addition and Subtraction Word Problems( Members Only ) 2-4 Bell Work SE – Solving Multi-Step Addition and Subtraction Word Problems (PDF) 2-4 Bell Work TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Exit Quiz TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Guided Notes TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Interactive Notebook – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Lesson Plan – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Online Activities – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Slide Show – Solving Multi-Step Addition and Subtraction Word Problems  (PDF)

Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

To get the Editable versions of these files Join us inside the Math Teacher Coach Community! This is where we keep our full curriculum of 4th Grade Math Lessons and Activities.

2-4 Assignment Student Edition ( Doc – Members Only ) 2-4 Assignment Teacher Edition ( Doc – Members Only ) 2-4 Bell Work Student Edition ( Doc – Members Only ) 2-4 Bell Work Teacher Edition ( Doc – Members Only ) 2-4 Exit Quiz Student Edition ( Doc – Members Only ) 2-4 Exit Quiz Teacher Edition ( Doc – Members Only ) 2-4 Guided Notes Student Edition ( Doc – Members Only ) 2-4 Guided Notes Teacher Edition ( Doc – Members Only ) 2-4 Interactive Notebook ( Doc – Members Only ) 2-4 Lesson Plan ( Doc – Members Only ) 2-4 Online Activities ( Doc – Members Only ) 2-4 Slide Show ( PPT – Members Only )

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Don’t Forget to Pin this Activity on Multi-Step Addition and Subtraction Word Problems…

Want to see the rest of the activities for unit 2 – multi-digit whole number addition and subtraction.

• 2-1  Multi-Digit Whole Number Addition
• 2-2  Solving Two-Step Addition Word Problems
• 2-3  Multi-Digit Whole Number Subtraction
• 2-4  Solving Two-Step Subtraction Word Problems
• 2-5  Solving Multi-Step Addition and Subtraction Word Problems
• 2-6  Creating Word Problems Involving Addition and Subtraction

If you enjoyed the read, don’t forget to check out more of our blogs on PreCalculusCoach , GeometryCoach , Algebra2Coach , Algebra1Coach , and PreAlgebraCoach !

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Addition and Subtraction Questions

Addition and subtraction questions are provided here for students to practice the basic mathematical operations – addition and subtraction. Addition and subtraction are preliminary maths skills that are taught to kids; we must encourage them to practice more questions based on addition and subtraction.

The symbols ‘+’ and ‘–’ represent the addition and subtraction and subtraction of two numbers.

Learn more about Addition and subtraction .

Addition and Subtraction Questions with Solution

Try to work out the addition and subtraction questions provided here to improve your skills.

Question 1: Evaluate the following:

(i) 1298 + 738

(ii) 489 – 267

(iii) 4609 + 452 – 178

(i) 1298 + 789 = 2086

(ii) 489 – 267 = 222

(iii) 4609 + 452 – 178 = (4609 + 452) – 178 = 5061 – 178 = 4883.

Read more: Order of Operations – BODMAS Rule

Question 2: Evaluate the following:

(i) 83 + 2/7

(ii) 2½ + 5⅓ – 1¾

(iii) 11/5 + 5/6

(iv) 23.08 + 56.9 + 56

(i) 83 + 2/7 = (83 × 7)/7 + 2/7 = (581 + 2)/7 = 583/7

(ii) 2½ + 5⅓ – 1¾ = 5/2 + 16/3 – 7/4

= [(5 × 3)/(2 × 3) + (16 × 2)/(3 × 2)] – 7/4

= [15/6 + 32/6] – 7/4 = 47/6 – 7/4 = 73/12

= 6 1 / 12 .

(iii) 11/5 + 5/6 = (66 + 25)/30 = 91/30

(iv) 23.08 + 56.9 + 56 = 135.98

Question 3: Mala’s monthly income is ₹ 30,000. She have to pay a rent of ₹ 8000 and all her monthly expenses are about ₹ 7500. Find out her monthly savings.

Mala’s monthly income = ₹ 30,000

Cost of rent = ₹ 8000

Miscellaneous expenses = ₹ 7500

Monthly savings = 30,000 – (8000 + 7500) = ₹ 14,500.

Question 4: On Monday Tina read 50 pages of a book. On Tuesday she read 100 pages and on Wednesday she read 105 pages of the book. If the book have 500 pages to read, find how many pages are left to be read.

Total number of pages = 500

Number of pages read on Monday = 50

Number of pages read on Tuesday = 100

Number of pages read on Wednesday = 105

Number of pages left = 500 – (50 + 100 + 105) = 500 – 255 = 245.

Question 5: Rohan daily travels 2 km by autorickshaw, 3 km by bus and walks the rest to reach his school. If his school 5.458 km far away from his home. How much distance he walks to reach school?

Distance covered by autorickshaw = 2 km

Distance covered by bus = 3 km

Distance between his home and school = 5.458 km

Distance covered by walking = 5.458 – (3 + 2) = 0.458 km = 458 metres.

Therefore, Rohan walks 458 metres to reach his school.

Question 6: Solve the following:

(i) – 23 + 105

(ii) 105 – 200 + 3

(iii) ½ + ⅓ – ⅘

(iv) 2.05 – 4.89 + 93

(i) – 23 + 105 = 105 – 23 = 82

(ii) 105 – 200 + 3 = (105 + 3) – 200

= 108 – 200 = – 92

(iii) ½ + ⅓ – ⅘ = (½ + ⅓ ) – ⅘

= ⅚ – ⅘ = (25 – 24)/30

(iv) 2.05 – 4.89 + 93 = (2.05 + 93) – 4.89

= 95.05 – 4.89 = 90.16

Question 7: What will be the result if the sum of 250 and 674 is subtracted from the lowest 4-digit number?

Lowest 4-digit number = 1000

Sum of 250 and 674 = 924

Now, 1000 – 924 = 76

Question 8: How much should be added to the difference of 960 and 652 to get answer 750?

Difference of 960 and 652 = 308

Now, 750 – 308 = 442

Therefore, 442 must be added.

Question 9: A man rows a boat with a speed of 3 km/hr in still water. If the speed of the stream is 2 km/hr. Find the speed of rowing the boat upstream and downstream.

Speed of rowing boat in still water = 3 km/hr

Speed of the stream = 2 km/hr

Speed of the boat in upstream = (3 – 2) km/hr = 1 km/hr

Speed of the boat in downstream = (3 + 2) km/hr = 5 km/hr

Question 10: The taxi fare for each kilometer travelled is ₹50 with that an extra ₹10 have to be paid for riding the taxi. If a man travels 8 km through taxi, then how much change will he get back after giving a ₹ 500 note to the taxi driver?

Taxi fare for each kilometer = ₹50

Taxi riding charge = ₹ 10

Taxi fare for 8km = ₹ (8 × 50) + ₹ 10 = ₹410

Change he will get back = 500 – 410 = ₹90

Related Articles:

Practice Questions:

1. Evaluate: 875 + 458 – 548 – 120.

2. Find the unknown number x such that 128 + ___ + 839 = 1500.

3. Find the number which is when subtracted from the sum of 592 and 87, results in 600.

4. A man rows a boat with a speed of 5 km/hr in still water. If the speed of the stream is 2 km/hr. Find the speed of rowing the boat upstream and downstream.

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Problem Structures for Addition & Subtraction

Quick pop quiz. How many problem structures are there for addition and subtraction problems?

If you said somewhere around 15 structures, you’re in the right ballpark. Unfortunately, students are often exposed to only the simplest structures. As teachers, we need to have an understanding of all the structures and teach them to our students in a methodical way.

This post contains affiliate links, which simply means that when you use my link and purchase a product, I receive a small commission. There is no additional cost to you, and I only link to books and products that I personally use and recommend.

“…teachers who are not aware of the variety of situations and corresponding structures may randomly offer problems to students without the proper sequencing to support students; full grasp of the meaning of the operations.” (Van de Walle et al)

The charts below were adapted from Elementary and Middle School Mathematics: Teaching Developmentally (Van de Walle et al), a phenomenal book for developing your own understanding of math.

The addition/subtraction structures are grouped into three main types: Change, Part/Part/Whole, and Comparison. For each type, there are multiple structures, depending on what information is known and unknown.

Change Problems

One of the first things you might notice is that the structures are not designated as addition or subtraction. While we typically think of  joining as addition and  separating as subtraction, you’ll see from the chart that is not always the case.  Result Unknown is the simplest and most familiar structure. You might think of these as classic addition and subtraction problems. As we move across the chart, the problems become increasingly complex, and we see that the Change Unknown and  Start Unknown structures can be interpreted as either addition or subtraction.

An appropriate way to introduce the problems is to start with the simplest,  Result Unknown , problems. Start with Join problems and allow students to practice solving just that type of problem. Help students focus on the meaning of each number in the problem, in terms of Change , Start , or Result . Drawing models is a good strategy for helping students analyze and visualize each problem. Next, introduce Separate problems, again giving them practice with just that type. Then it’s time to mix them up, so students have to determine the appropriate structure, based on the problem.

Now start to move across the chart, using the same process. Introduce the next structure (Join, Change Unknown ), practice the structure, and then mix it in with the others they already know. Keep in mind that this process takes time. If you’re a second-grade teacher, make a schedule for introducing the structures throughout the school year. Use numbers appropriate to the students’ computation skills.

Part-Part-Whole

Part-Part-Whole problems are very similar to Change. The subtle difference is that often there is no action in these problems, which makes them a little more abstract for students. The Whole Unknown structure is a very simple addition problem. In the One Part Unknown structure, we know the total and one of the parts, but we are missing the other part. This is also commonly called a Missing Addend problem. We often solve this type of problem using subtraction, but a counting-up strategy works well also. A really interesting structure is Both Parts Unknown. It’s a word problem application of knowing all the combinations for a number !

As students are introduced to more of the structures, remember that it’s just as important that they generate problems as solve them. I love an activity I call You Write the Story . Give students an equation and have them write a story to go with it and draw a model for their story.

One other note about Change and Part-Part-Whole problems, while these examples all have two addends, you can also use more than two addends to provide more of a challenge. Think: There are 425 students in the cafeteria. One hundred twenty-seven students are 5th graders, 146 are 4th graders, and the rest are 3rd graders. How many 3rd graders are in the cafeteria?

Finally, we have Comparison problems, which involve comparing two quantities–a larger quantity and a smaller one. They can also be written using either more or  fewer.  Fewer is by far more difficult for students. We want to make sure we introduce comparison subtraction using manipulatives to help students understand the structure. See this pos t for more information.

There you have it! All the structures for addition and subtraction problems. You can download your own copy of the tables showing the structures using the button below.

I look forward to hearing how you will teach these structures in your classroom, so be sure to leave a comment!

Resources for problem structures

Morrow-Leong, K., Moore, S. D., & Gojak, L. (2021). Mathematize it!: Going beyond key words to make sense of word problems , grades K-2 or grades 3-5 . Thousand Oaks, CA: Corwin.

Carpenter, Thomas P., et al. (2015) Children’s Mathematics: Cognitively Guided Instruction . Heinemann.

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Great post! I’ve been reading the Mathematize IT: Making Sense books also.

Do you have a post for Problem Structures of multiplication and division?I saw the book, but I was hoping you had something more like this post for multiplication and division.

I follow all your posts! Thank you for helping me become a better teacher❤️

Thanks for your kind comments! I don’t have a post, but I do have a document with all the structures for all operations . Enjoy!

This is a great visual! Thanks for sharing.

Awesome blog and charts! I did notice that “amount” is misspelled in the last chart in the red boxes.

Well, yes it is! Thanks so much for calling it to my attention. I’ll get it corrected straight away.

Late to the game but I LOVE THIS!

What are your thoughts on multistep problems as it relates to these structures?

That would be another, and trickier, step! Being able to comprehend what’s happening in the problem is key. Check out this post on the 3 Reads Protocol for a great strategy for improving comprehension.

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Your email address will not be published. Required fields are marked *

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2nd Grade Addition and Subtraction

Word problems up to 100.

Welcome to our 2nd Grade Addition and Subtraction Word Problems page. Here is our selection of free printable subtraction word problem worksheets, which will help your child practice solving a range of addition and subtraction problems using numbers up to 100.

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• Addition & Subtraction Word Problems within 100
• 2-Step Addition & Subtraction Word Problems within 100
• Easier/Harder Addition & Subtraction Worksheets
• More related resources
• Addition & Subtraction Word Problems up to 100 Online Quiz

Each sheet consists of a range of 5 or 6 addition and subtraction word problems with numbers up to 100.

There is a space on each sheet for working out, so that your child can write out the problem and solve it.

We have split the worksheets up into word problems with and without regrouping.

Using these sheets will help your child to:

• add and subtract numbers up to 100;
• solve addition and subtraction word problems with and without regrouping.
• recognise the language used in addition and subtraction - sum, total, difference, how many more, etc.

2nd Grade Addition and Subtraction Word Problems

There are two versions of each sheet.

The first version (version A) contains problems where no regrouping is needed.

The second version (version B) contains similar problems but regrouping is needed to solve them.

Sheets 1A, 1B, 2A, 2B, 3A and 3B involve straightforward word problems with one number to subtract from another.

Sheets 4A, 4B, 5A and 5B have 2-step addition and subtraction problems where two steps are needed to solve the problem.

Answers have been provided with each sheet, along with the calculation needed to solve the problem.

Addition and Subtraction Word Problems within 100

The following sheets are all 1-step addition or subtraction word problems.

• Addition Subtraction Word Problems up to 100 Sheet 1A (no regrouping)
• PDF version
• Addition Subtraction Word Problems up to 100 Sheet 1B (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 2A (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 2B (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 3A (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 3B

Harder 2-Step Addition and Subtraction Word Problems within 100

These problems are trickier than those above.

Each problem involved two steps to solve, and may involve just addition, just subtraction or both operators.

• Addition Subtraction Word Problems up to 100 Sheet 4A (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 4B
• Addition Subtraction Word Problems up to 100 Sheet 5A (no regrouping)
• Addition Subtraction Word Problems up to 100 Sheet 5B (no regrouping)

Looking for some easier worksheets?

Take a look at our Subtraction word problems for first graders.

On this page, your child will learn to work out basic subtraction word problems with numbers to 20.

• 1st Grade Addition and Subtraction Problems

Looking for some harder worksheets?

We have a range of 3-digit subtraction worksheets set out in columns.

• 3rd Grade Addition and Subtraction Word Problems (3- and 4-digits)
• 3 Digit Column Addition
• 3 Digit Subtraction Worksheets

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More 2nd Grade Addition and Subtraction Worksheets

Here you will find some more of our Addition and Subtraction Worksheet generators for creating your own bespoke addition and subtraction worksheets.

• Add and Subtract Within 20 Worksheets
• 3 Digit Addition and Subtraction Worksheets
• Addition Subtraction Fact Worksheets (randomly generated)
• Column Addition and Subtraction Worksheets (randomly generated)

More 2nd Grade Math Word Problems

Here are a range of problems solving sheets for 2nd graders. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Second Grade Math Problems

These sheets involve solving many 'real-life' problems involving data.

• 2nd Grade Math Word Problems

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade
• Subtraction Word Problems 2nd grade

The link below will open our 2nd-grade-math-salamanders website in a new browser window.

• More Addition Subtraction Word Problems at 2nd-grade-math-salamanders.com

These sheets involve solving a range of multiplication problems.

• Multiplication Word Problems 2nd Grade

Addition and Subtraction Word Problems to 100 Online Quiz

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Solving multi-step addition and subtraction problems

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Lesson details

Key learning points.

• In this lesson, we will be applying the addition and subtraction strategies that we have learned to word and real life problems.

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

Starter quiz

5 questions, lesson appears in, unit maths / problem solving with integer addition and subtraction.

Addition & Subtraction Word Problems

Related Topics: More Math Word Problems Math Worksheets

How to solve addition and subtraction two-step word problems? These examples of addition and subtraction word problems and solutions will illustrate how to use the block diagrams (Singapore Math) method and tape diagrams (Common Core Math) to solve word problems. Go to Math Word Problems for more examples.

How to use bar models to solve addition and subtraction word problems? Examples:

• The Toyota car factory makes 7,736 cars a day. It makes 1,372 more cars a day than the Honda car factory. a) How many cars does the Honda factory make each day? b) If the Honda factory sells 3,459 cars today, how many cars will the Honda factory have left?
• A high school has 4,268 students. It has 768 less students than the college. a) How many students does the college have? b) How many students do both schools have altogether?
• The Chicago tribune, a newspaper, prints 483 papers on Tuesday. The newspaper prints 87 fewer newspapers on Thursday. a) How many newspapers does the paper print on Thursday? b) How many papers does the Chicago Tribune print on both Tuesday and Thursday?

What is a Tape Diagram? A tape diagram is a drawing that looks like a segment of tape, used to illustrate number relationships. It is also known as strip diagrams, bar model, fraction strip, or length model.

How to use tape diagrams in Part-whole Model and Additive Comparison Model problems? Examples:

• The office supply closet had 25,473 large paperclips, 13,648 medium paperclips and 15,306 small paperclips. How many paperclips were in the closet?
• Raffle tickets were sold for a school fundraiser to parent, teachers, and students. 563 tickets were sold to teachers. 888 mire tickets were sold to students than to teachers. 904 tickets were sold to parents. a) About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate. b) Exactly how many tickets were sold to parents, teachers, and students? c) Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
• During the month of March 68,025 pounds of king crab were caught. If 15,614 pounds were caught in the first week of March, how many pounds were caught in the rest of the month?

How to model and solve an addition or subtraction word problem involving two changes? Example: Danny has 40 Star Fleet cards. He lost 17 cards at the park. He bought 13 cards at the store. How many cards did Danny have then?

How to model and solve a part-whole addition word problem involving two parts Singapore Math - Addition and Subtraction with Two Parts Part-Whole Model with two parts - Finding the whole. Example: Dylan paid $5 for a book. He had $19 left. How much money did Dylan have at first?

How to model and solve a part-whole addition word problem involving three parts? Singapore Math - Addition and Subtraction with Three Parts Example: Sam is reading a book. He read 9 pages yesterday and 5 pages today. If he reads 12 more pages, he will finish the book. How many pages are in Sam’s book?

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Worksheet on Word Problems on Addition

In 4th grade worksheet on word problems on addition, all grade students can practice the questions on word problems based on addition. This exercise sheet on addition can be practiced by the students to get more ideas to solve the worksheet on word problems on addition.

1.  In an examination, 75,236 students passed and 14,892 students failed. Find how many students appeared for the examination. 

2.  There are 3,786 men, 3,672 women and 1,508 children in a village. Find the total population of the village. 

3.  There are 5,873 male and 6,389 female primary teachers in a city. Find the total number of teachers in the city.

4. In a school there are the following numbers of students: 127 in grade one, 120 in grade two, 110 in grade three, 100 in grade four and 93 in grade five. Find the total number of students in the school.

5. A man plucked 435 mangoes from one tree, 450 mangoes from the second tree and 295 mangoes from the third tree. Find the total number of mangoes plucked from the trees.

6. A school library has 3,730 books in French, 2,531 books in English, and 5,368 books in other languages. How many books are there in library?

7. There are 37,536 bags of wheat, 35,380 bags of rice and 25,240 bags of gram in a store. Find the total number of bags in the store.

8. A school management spent $ 26,756 on teachers pay, $ 325,378 on building construction, $ 5,780 on games and $ 8,235 on other work. Find the total amount spent on different items by the school management.

9. A man plucked 375 apples from one tree, 504 apples from the second tree and 229 apples from the third tree. Find the total number of apples plucked from the trees.

10. A toy factory manufactured 52,253 toys in January, 50,375 toys in February and 608,368 toys in March. How many toys were manufactured in the above mentioned months in total?

11. Mr. Jones goes to the shop to buy furniture for his house. He buys a double bed for $57930 and a sofa for $39860. What is the total amount spent by Mr. Jones at the shop.

12. According to a census, there were 45779 females in a town.  The number of males is 2336 more. What is the total population of the town?

13. 7883 people visited the zoo on Friday, 6596 on Saturday and 8224 on Sunday. How many people visited the zoo on these 3 days?

14. Ron is studying aboard. During his holidays, he travels to his home town. To reach his home town he covered 4562 km by air and 1057 km by bus. What is the total distance travelled by him to reach the home town?

15. Ron deposited $13645 in bank on Tuesday and $6880 on Wednesday. What is the amount of money deposited by him in bank in these 2 days?

16. Shelly went to buy furniture for her room and had $15000. She selects two different tables at the shop –

(i) a square table costing $9640

(ii) a round table costing $7890.

She has already bought a chair for $5999. Which table would she be able to buy?

17. An overhead tank has 4670 litres of water. If 2770 litres of water is added more to the tank, what is the total amount of water in the tank? Give any two ways in which we can conserve water.

18. During a cricket match, 3670 people watched the match from South End, 2270 from North End and 2850 from East End. How many people watched the match?

19. A cycle factory produced 6589 cycles in year 2010, 4869 cycles in 2011 and 2586 in 2012. What was the production in these three years?

20. At a meeting addressed by a political leader, there were 2,649 men 3,259 women and 837 children. How many people were present at the meeting?

21. In an election, there were three candidates. The first candidate got 1975 votes, the second candidate got 4688 votes and the third candidate got 2149 votes. In all how many votes were polled?

22. In an examination 5,865 boys and 2,954 girls appeared. How many students in all appeared in the examination?

23. A number is 468 more than 9268. Find the number.

24. A company produced 2,756; 1,751 and 3,058 pencils in three successive months. In all, how many pencils were produced by the company in these three months?

25. James has 12589 stamps and Mary has 34879 stamps in their albums. How many stamps do they have altogether?

26. There are 3592 cows, 4692 buffaloes and 1296 other cattle in a village. What is the population of the cattle?

27. A village has 24,925 women 17,840 men and 4,540 children. What is the population of the village?

28. A factory produced 17,895 toys in the 1st year, 26,004 toys in the 2nd year and 34,924 in the 3rd year. How many toys were produced in these years?

1.  90,128

2.  8,966

3.  12,262

4.  550

5.  1,180

6.  11,629

7.  98,156

8.  $ 3,66,149

9.  1,108

10.  7,10,996

11. $97,790

14. 5,619 km

15. $20,525

16. Round table

17. 7,440 litres

23.  9,736

26.  9,580

If students have any queries regarding the questions in the worksheet on word problems on addition please contact us so that we can help you. However, suggestions for further improvement, from all quarters would be greatly appreciated.

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Worksheet on Mixed Addition and Subtraction.

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Worksheet by Adding or Subtracting.

Worksheet on Addition and Subtraction.

Worksheet on Estimating Sums and Differences.

Worksheet on Multiplication.

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Worksheet on Multiplication of a Number by a 3-Digit Number.

Worksheet on Estimating Products.

Worksheet on Word Problems on Multiplication.

Worksheet on Division.

Worksheet on Division Facts.

Worksheet on Estimating the Quotient.

Worksheet on Dividing Numbers.

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Problem Solving - Addition and Subtraction

Solve the problems by using the correct operation

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How to Solve Addition Problems

In this post, we are going to learn to analyze, think about, and solve addition problems. Usually, failure in mathematics comes from not understanding the problems that we are given. This is why we are going to analyze 5 problems which require addition to solve.

Addition Problems nº 1

There were 8 cars in the parking lot of a hotel. 5 more cars have entered the parking lot. How many cars are in the parking lot now?

This is the simplest type of problem that we can encounter: it is a short statement, with only 2 facts which have the same units: 8 cars and 5 cars. Now the only thing left for us to think about is what operation we have to do. To do this, we are going to think about if in the beginning there were 8 cars and later 5 more cars enter the parking lot, are there now more or fewer cars than in the beginning? The answer to this question is that there are now more cars than in the beginning. Therefore, the operation that we need to do is ADDITION.

Now there are 13 cars in the parking lot.

Addition Problems nº 2

The walls of Catherine’s class are full of drawings! Today I went to see the class and on the wall to the right, I counted 5 drawings and on the wall to the left 7 more. How many drawings in total are there on the walls of Catherine’s class?

Although this problem is simple, it is a little more complicated than the previous problem because it is longer, but it only has 2 facts which also have the same units: 5 drawings and 7 drawings. Before thinking about the operation that we have to do, we are going to reason through the statement: in order to count how many drawings there are in total, we could collect them and put them all on the same wall and then count them. The number that we would obtain would be greater than 5 and greater than 7 too. Thus, the operation we have to use is ADDITION.

There are 12 drawings in total.

Addition Problems nº 3

Mary has 4 candies that her grandmother gave to her when she was visiting. Richard has 2 more candies than Mary because he bought some and later realized that he had more in his house. How many candies does Richard have?

In this problem, we have to compare two quantities: Mary has 4 candies and Richard has 2 more candies than Mary. Let’s think. Does Richard have more or fewer candies than Mary? If Richard has 2 candies more than Mary, this means that he has more candies. So the operation that we need to carry out is ADDITION.

Richard has 6 candies.

Addition Problems nº 4

Yesterday many kids went to eat breakfast in the school dining hall and drank all the juice. If they had served 5 liters less of juice yesterday, they would have served as many liters as they did today. Today they served 6 liters of juice. How many liters of juice did they serve yesterday?

In this problem we have to match two quantities: today they served 6 liters of juice and yesterday if they had served 5 liters less, they would have served the same amount of liters as today. We have to decide whether they served more or less juice yesterday than today. As we are told that to match today’s quantity they would have had to serve 5 liters less, we deduce that yesterday they served more liters than today. Thus, the operation that we have to use is ADDITION.

Yesterday they served 11 liters of juice.

Addition Problems nº 5

During recess, I’ve been playing marbles with 4 friends. Since I have been careless, I have lost 3 marbles and now I am left with 6 marbles. How many marbles did I have before I began to play?

In this problem, we have 3 numerical facts: 4 friends, 3 marbles and 6 marbles. But be careful! Not all the facts help solve the problem. In this case, the number of friends that I have does not influence the number of marbles I had. So this fact is not relevant to the solution of the problem. We focus on the facts that interest us: I have lost 3 marbles and now I have 6 left. We have to reflect on the following question: before beginning to play did I have more or fewer marbles than I have now? If I lost marbles during the game, it means that I had more marbles before than I have now, so the operation we have to use is ADDITION.

Before playing, I had 9 marbles.

And that’s all for today’s post. We hope that you have enjoyed and learned from this post.

Next week we will continue with another post about problems.

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Addition and subtraction word problems

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

11 April 2017

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Useful word problems.

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Modelling & Solving Addition & Subtraction Problems

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This resource provides students with the opportunity to demonstrate their understanding of addition and subtraction concepts through mathematical modelling. They are required to interpret additive word problems, write a matching number sentence, complete a part-part-whole diagram and bar model that represent the problem and show their working out. Each page includes a list of strategies to assist students during the problem-solving process.

In order for the students to complete this task, they must recognise which part of the problem is unknown: the part or the whole. To avoid confusion, it is recommended that students are modelled examples of both types of problems and have access to hands-on materials, such as counters, to assist them in their working out.

Worksheets 1 and 2 include problems with two-digit numbers, while Worksheets 3 and 4 include three-digit numbers and are better suited to students who can extend their problem-solving skills further.

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Addition and Subtraction Problem Solving Task Cards

Updated:  19 Oct 2023

Practice solving 1- and 2-step word problems by adding and subtracting 2-digit numbers with this set of 16 task cards.

Editable:  Google Slides

Non-Editable:  PDF

Pages:  1 Page

• Curriculum Curriculum:  CCSS, TEKS

Grades:  2 - 3

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Solve Addition & Subtraction Word Problems

In this math activity, your students will continue building the relationship between addition and subtraction while honing the skills for solving word problems .

We’ve also presented an additional challenge: students will have to put on their operations thinking caps to decide whether to use their subtraction or addition to solve the number sentences.

With our task cards, students will show that they can use addition and subtraction strategies to solve 1- and 2-step word problems to find the difference or the sum within 100. 

Provide each student with a recording sheet (included) and the task cards. Students will solve for the sum or difference and write their answers in the corresponding space on the recording sheet. 

An answer key is included for students to check their answers independently.   

Use these task cards with mini whiteboards, math notebooks, and smart boards for a quick math lesson warm-up .

Scaffolding + Extension Tips 

For students who need more support honing this skill, use the task cards in your guided math group and limit the number of word problems. Provide students with math manipulatives as a visual reference when counting or encourage them to draw pictures to help them solve.

Challenge fast finishers who already understand the concept to partner up with a peer, split the cards, and take turns orally explaining how they arrived at their answers. This action allows students to slow down and think through the logic they used to solve the problem. 

Get Even More Practice Solving Addition & Subtraction Problems 

We created this resource for your math center as an independent practice activity. We also suggest using it to reinforce your small group and full-class lessons in the following ways: 

🏃‍♀️ 2-Digit Addition Relay

Divide your class into two team lines and provide the two students at the front of each line with a whiteboard. Show a task card to the students and have them solve for the sum on their board. The student that answers correctly first wins the card, and both students go to the back of the line, handing the whiteboards to the next competitors. The team with the most task cards at the end of the game wins!

🛴 Scoot Activity

Place the cards around the room numerically and give each student a recording sheet. Assign students or pairs to a starting point card. Give students time to review the card and record their answers in the corresponding space on their paper. The students will rotate to the next card on your cue (for example, say, “SCOOT”). Continue in this manner until students return to their starting point. 

✍️ Show Me!

Give each student a mini dry-erase board and a dry-erase marker. Project one task card at a time and have each student solve for the sum on their board. When everyone has written down their answer, say, “Show Me.” Students will flip their boards, allowing you to see who needs extra support. Students can also work together in pairs or teams. 

Easily Prepare This Resource for Your Students

Print on cardstock for added durability and longevity. Place all pieces in a folder or large envelope for easy access. 

To keep the task cards out of pockets or under desks, punch a hole in the corner of each to place them on a binder ring. 

Sustainability Tip: Print a few recording sheets on cardstock and slip them into dry-erase sleeves. Students can record their answers with a dry-erase marker, then erase and reuse.

Before You Download

Use the dropdown icon on the Download button to choose between the PDF or Google Slides version of this resource. A recording sheet and answer key are also included with this download.

This resource was created by Allie Kleijnjans, a teacher in Pennsylvania and Teach Starter Collaborator. 

We’ve got more activities and teaching resources where that came from:  

[resource:891086]   [resource:4646364]   [resource:3607198]

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Addition and Subtraction of Algebraic Expressions Practice Questions

An algebraic expression is a mathematical expression that contains constants, variables, terms, coefficients and arithmetic operations such as addition, subtraction, division, multiplication, etc. As these expressions contain variables, therefore they are also called variable expressions.

We can use algebraic expressions to structure real-world problem statements. Let’s assume that Jason’s age(denoted by x) is 8 less than 2 times John’s age(denoted by y). We can determine Jason’s age in terms of John’s age by an algebraic expression, x = 2y – 8. Here, x and y are variables as they are unknown. 8 is a term subtracted from another term 2y.

Table of Content

Basic Concepts of Algebraic Expressions

Addition and subtraction of algebraic expressions, practice questions on addition and subtraction of algebraic expressions, worksheet on addition and subtraction of algebraic expressions, frequently asked questions.

• Like Terms: These are defined as those terms that have the same variable or variables raised to the same power.
• Combining Like Terms: It involves the addition and subtraction of coefficients of like terms .
• Distributive Property: This property helps in simplifying algebraic expression by eliminating parenthesis. Generally represented by a(b + c) = ab + ac, where a, b, c are arbitrary numbers or algebraic expressions.

Below are a few examples showing how to write algebraic expressions for a given statement.

The above highlighted are some keywords in the given example statements that will help in identifying the arithmetic operation for an algebraic expression.

For Addition of Algeabric Expression

For Subtraction of Algeabric Expression

Problem 1: Simplify (2x 2 – 5y + 2) – (5x 2 + 2x – 5)

According to the question, we need to simplify (5x 2 + 2x – 5) – (2x 2 – 5y + 2) = 5x 2 + 2x – 5 – 2x 2 + 5y – 2 = 5x 2 – 2x 2 + 2x + 5y – 5 – 2 = (5 – 2)x 2 + 2x + 5y + (-5 -2) = 3x 2 + 2x + 5y – 7 So, 3x 2 + 2x + 5y – 7 is the simplified algebraic expression.

Problem 2: Simplify 6(a + 3b) – 2(a – b)

According to the question, we need to simplify 6(a + 3b) – 2(a – b) = 6a + 6(3b) – 2(a) -2(-b) = 6a + 18b – 2a + 2b = 6a – 2a + 18b + 2b = (6 – 2)a + (18 + 2)b = 4a + 20b So, 4a + 20b is the simplified algebraic expression.

Problem 3: Find the sum of 2m + 3n – p and 6n – 4p

According to the question, we need to find, (2m + 3n – p) + (6n – 4p) = 2m + 3n – p + 6n – 4p = 2m + 3n + 6n -p – 4p = 2m + (3 + 6)n – (1 + 4)p = 2m + 9n – 5p So, 2m + 9n – 5p is the obtained algebraic expression.

Problem 4: Find the sum of 2x 2 – 5y 2 + 9 and 10y 2 – 3xy + 10

To find sum of the two given algebraic expression, let’s add them, we get = (2x 2 – 5y 2 + 9) + (10y 2 – 3xy + 10) = 2x 2 – 5y 2 + 10y 2 + 9 + 10 = 2x 2 + (-5 + 10)y 2 + (9 + 10) = 2x 2 + 5y 2 + 19 So, the obtained sum of given algebraic expression is, 2x 2 + 5y 2 + 19.

Problem 5: Simplify 3x 3 – 5y 3 + xy 2 – 3xy 2 – 8x 3

Simplifying, 3x 3 – 5y 3 + xy 2 – 3xy 2 – 8x 3 = 3x 3 – 8x 3 – 5y 3 + xy 2 – 3xy 2 = (3 – 8)x 3 – 5y 3 + (1 – 3)xy 2 = -5x 3 – 5y 3 – 2xy 2 Therefore, -5x 3 – 5y 3 – 2xy 2 is the simplified algebraic expression.

Problem 6: Subtract 3xy + 4x – 3y 3 from 10y 3 – 5xy + 10

According to the question, we need to find = (10y 3 – 5xy + 10) – (3xy + 4x – 3y 3 ) = 10y 3 – 5xy + 10 – 3xy – 4x + 3y 3 = 10y 3 + 3y 3 – 4x – 5xy + 10 = 13y 3 -4x – 5xy + 10 So, 13y 3 -4x – 5xy + 10 is the obtained algebraic expression.

Problem 7: Add 10p + 9(10s + 4t) + 12q and 12s – 4t

According to the question, = (10p + 9(10s + 4t) + 12q) + (12s – 4t ) = (10p + 90s + 36t + 12q) + (12s – 4t) = 10p + 12q + 90s + 12s + 36t – 4t = 10p + 12q + (90 + 12)s + (36 – 4)t = 10p + 12q + 102s + 32t So, the obtained solution is 10p + 12q + 102s + 32t.

Problem 8: Find the difference of 7a + 8b + 3ab + 30 and 12b – 5a – 18ab + 10

According to the question, we need to find = (7a + 8b + 3ab + 30) – (12b – 5a – 18ab + 10) = 7a + 8b + 3ab + 30 – 12b + 5a + 18ab – 10 = 7a + 5a + 8b – 12b + 3ab + 18ab + 30 – 10 = (7 + 5)a + (8 – 12)b + (3 + 18)ab + (30 – 10) = 13a – 4b + 21ab + 20 So, 13a – 4b + 21ab + 20 is the obtained algebraic expression.

Problem 9: Simplify (x + y) 2 + 3(4x + 5xy) + 9y 2

(x + y) 2 + 3(4x + 5xy) + 9y 2 = (x 2 + 1xy + y 2 ) + (12x + 15xy) + 9y 2 = x 2 + y 2 + 9y 2 + 1xy + 15xy + 12x = x 2 + (1 + 10)y 2 + (1 + 15)xy + 12x = x 2 + 11y 2 + 16xy + 12x So, x 2 + 11y 2 + 16xy + 12x is the simplified algebraic expression.

Problem 10: Simplify (3x – 4) 2 – 6xy + 7x – 9y + 10

(3x – 4) 2 – 6xy + 7x – 9y + 10 = (9x 2 – 2(3x)(4) + 16) – 6xy + 7x – 9y + 10 = (9x 2 – 24x + 16) – 6xy + 7x – 9y + 10 = 9x 2 – 24x + 7x – 9y – 6xy + 16 + 10 = 9x 2 – 17x – 9y – 6xy + 26 So, 9x 2 – 17x – 9y – 6xy + 26 is the simplified algebraic expression.

Q1: Simplify 12m + 9n + 3(4m + 3n) 2

Q2: Simplify 32(2x + 3y + 1) + 5xy + 13y – 26

Q3: Simplify x 3 – y 2 + 8y 3 + 4xy 2 – 11y 2

Q4: Find sum of 24a + 12b – 13ab and 3a + 3b + 3

Q5: Add 10(2x + 3xy) + 12 and 4x 2 + 5xy

Q6: Subtract x 2 + y 2 – (x – y) 2 from 5x 2 + 4xy + 2y 2

Q7: Find the difference of 3y + 24xy + 15 and 5y + 13xy + 9x – 20

Q8: Find the sum of 2(x + 3y) + 10 and 4(3x + y)

Q9: Add 3x 2 + 4xy – 9 and 5y 2 + 11x 2 – 2xy – 11

Q10: Subtract 20x + y from 10x – 15y + 2xy

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Algebra Formulas Division of Algebraic Expressions Multiplication of Algebraic Expression How are Algebraic Expressions Formed?

What are Algebraic Expressions?

Algebraic expression are variable expressions that contains number, variables, coefficients, terms and arithmetic operations such as addition, subtraction, division, multiplication, etc. For example, 2x + 3y + 10 is an algebraic expression, where 2x, 3y and 10 are terms and 2, 3 are coefficient of variables x and y respectively.

Is it possible to Add or Subtract Terms with Different Variables in an Algebraic Expression?

No, we can only add or subtract like terms. For example, 3x and 4x can be combined, but, we can not combine 3x and 4y in an algebraic expression as they have different variables.

How to Add Two Algebraic Expression?

To add two algebraic expressions, combine the coefficients of like terms in the expression and simplify to get the final result. For example, (2x + 3y) + (x + 5y) can be written as 2x + x + 3y + 5y which is equal to 3x + 8y.

How to Subtract Two Algebraic Expression?

To subtract two algebraic expressions, distribute the negative sign over the second algebraic expression and then combine the coefficients of like terms, followed by simplification to get the final result. For example, (2x – 3y) – (5x – 2y) can be written as, 2x – 3y – 5x + 2y, equal to -3x – y.

Is 2 an Algebraic Expression?

Yes, 2 is an algebraic expression which contains only one term.

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