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Grade 6 Math: Inequality Word Problems

This worksheet helps 6th-grade students practice solving word problems involving inequalities, including writing and graphing inequalities.

Grade 6 Math AlgebraInequality Word Problems
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Includes

4 CustomShort Answer

Standards

CCSS.MATH.CONTENT.6.EE.B.5CCSS.MATH.CONTENT.6.EE.B.8

Topics

mathgrade 6inequalitiesword problemsalgebra
7 sections · Free to use · Printable
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Grade 6 Math: Inequality Word Problems

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Read each word problem carefully. Write an inequality to represent the situation and then graph the solution on the number line provided.

1. Sarah wants to buy a new video game that costs $45. She has already saved $20. Write an inequality that represents how much more money (m) Sarah needs to save, and graph the solution.

Inequality:  

0510152025

2. A maximum of 30 students can be in the computer lab at one time. If there are already 12 students in the lab, write an inequality that represents how many more students (s) can enter the lab, and graph the solution.

Inequality:  

05101520

3. The temperature in the freezer must be less than or equal to -10°C. If the current temperature (t) is -5°C, write an inequality that represents the acceptable temperature range, and graph the solution.

Inequality:  

-20-15-10-505

4. A car rental company charges $50 per day plus $0.25 per mile. If John wants to spend no more than $100 on car rental for one day, write an inequality that represents the maximum number of miles (m) he can drive, and graph the solution.

Inequality:  

050100150200250

5. Explain in your own words what an inequality represents and how it differs from an equation.