Grade 7 Math: Inequality Word Problems

Grade 7 Math: Inequality Word Problems

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?

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?

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: