In these worksheets, students will learn to solve word problems involving integers.

Integers are whole numbers (i.e., not a fraction). They are also not decimals and can be stated in positive and negative forms. One place that students also get tripped up too is on the concept of zero. Zero is most definitely an integer. When solving integer driven word problems there are a series of steps that we recommend you follow. Begin by identifying what the problem is looking and then choose the variables to represent the unknown values (such as x and y). Next look for stated expressions that have the equivalent value and work those into a mathematical equation. From there all we need to do is plug the value into the equation and solve. To check yourself, make sure that the final value is in the proper units or place value.

Your students will begin by practicing basic skills involving integers, such as writing a positive or negative integer for given situations, comparing integers, continuing sequences, and identifying integers that fit descriptions. Students will solve simple integer word problems. They will also solve open ended integer word problems (i.e., more than one correct answer is possible.) Problems involve both positive and negative integers. Students will then use variables to represent integers, and work up to translating a statement that is written in words to an expression that is written using integers. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve a variety of integer word problems. These worksheets reinforce basic integer skills and teach how to solve basic and open-ended integer-related word problems. Sample problems are solved and practice problems are provided.



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Integer Word Problems Worksheets

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Basic Lesson

As we need the sequence from smaller to greater, so start from the extreme left point and move towards the right point. Write the number in the same sequence as they appear.

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Lesson and Practice

Write a positive or negative integer for each situation. David climbs a mountain 460 meter above the sea level.

Worksheet

Write a positive or negative integer for each situation.

Practice

Continue the number sequence for six more numbers.

Skill Drill

Find a number that is.

Warm Up

Students will order positive and negative numbers from smallest to greatest. Three problems are provided.

Integer Word Problems Lesson

Find three consecutive numbers whose sum is 48.

Lesson and Practice

Find the integer who follows the given condition. Three times a number increased by four is the same as the number plus ten.

Worksheet

The sum of two consecutive numbers is 27. What are the two numbers?

Practice

Which four consecutive numbers have a sum of 70?

Drill

One number is twice another number. If the 12 is subtracted from the larger number the result is 7 more than the smaller number. Find the numbers

Warm Up

Eight times a number is increased by 9 is 15 more than 7 times the number. Find the number.

Open Ended Integer Problems Lesson

There are two ways to get from 20 to 38 and vice-versa using addition or its inverse. What are they?

Lesson and Practice

Name 2 numbers whose product is less than zero and whose sum is -25.

Worksheet

There are two ways to get from 13 and 38 and vice-versa using addition or its inverse. What are they?

Practice

Give 2 numbers whose product is less than zero and whose sum is -12.

Drill

There are two ways to get from 41 and 58 and vice-versa using addition or its inverse. What are they?

Warm Up

Give 2 numbers whose product is less than zero and whose sum is -30.

Integer Problems (Open Ended) Lesson

There are two ways to get from 30 and 42 using addition or its inverse. What are they?

Worksheet

There are two ways to get from 6 and 14 using addition or its inverse. What are they?

Practice

There are two ways to get from 12 and 24 using addition or its inverse. What are they?

Review

There are two ways to get from 40 and 50 using addition or its inverse. What are they?

Quiz

There are two ways to get from 7 and 18 using addition or its inverse. What are they?

Skill Check

There are two ways to get from 6 and using addition or its inverse. What are they?

Representing Integers Lesson

Represent the statement with integers. The stock market went up 789 points today.

Lesson and Practice

Represent the statement with numbers. The stock market went up 789 points today.

Worksheet

Represent the statements with integers.

Practice

Write thirty-nine feet above from the bottom of the building as an integer.

Drill

Smallest number in between 29 to 60.

Warm Up

The stock market went up 999 points today.

Representing Statements with Integers Lesson

Represent the statements with integers.

Worksheet

Students will translate statements written in words to expressions using integers. Such as: The football player had a 50 yard gain on the play.

Practice

I love this one: Seventy -nine feet below sea level.

Review

The football player had a 32 yard gain on the play.

Quiz

The football player had a 70 yard gain on the play.

Check

Represent the statements with integers: The opposite of –21,250