Grade 7 Math: Inequality Word Problems
A worksheet for 7th-grade students to practice solving and graphing inequality word problems.
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Grade 7 Math: Inequality Word Problems
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Read each word problem carefully, write an inequality to represent the situation, solve the inequality, and then graph the solution on the number line provided.
1. Sarah wants to buy a new video game that costs $50. She has already saved $20. She earns $5 per hour babysitting. How many hours, h, must she babysit to have enough money to buy the game?
Write the inequality:
Solve the inequality:
Graph the solution:
2. A taxi ride costs $3 plus $2 for each mile traveled. If your total fare was no more than $15, what is the maximum number of miles, m, you could have traveled?
Write the inequality:
Solve the inequality:
Graph the solution:
3. A store sells t-shirts for $12 each. If a customer has a coupon for $5 off their total purchase, and they want to spend at least $43, how many t-shirts, t, must they buy?
The inequality representing this situation is:
The solution to the inequality is:
Graph the solution:
4. The temperature in a freezer must be kept below -10°C. If the current temperature is -8°C, is the freezer at an acceptable temperature?
Write the inequality:
Is the statement True or False?
True
False
Graph the solution:
5. A movie theater offers a discount for groups of 8 or more people. Which inequality represents the number of people, p, that would qualify for the discount?
p < 8
p > 8
p ≤ 8
p ≥ 8
6. A baker needs to use at most 2.5 cups of sugar for a recipe. He already has 0.75 cups of sugar. How much more sugar, s, can he add?
Write the inequality:
Solve the inequality:
Graph the solution: