Grade 8 Inequality Word Problems

Grade 8: Inequality Word Problems

Read each word problem carefully, translate it into an inequality, solve the inequality, and then interpret your solution in the context of the problem. Show all your work.

1. Sarah wants to buy a new bicycle that costs $250. She has already saved $80. She earns $15 per hour babysitting. How many hours, h, must she babysit to have enough money to buy the bicycle?

2. A taxi ride costs a flat fee of $3.00 plus $2.50 per mile. If John has $20 to spend on a taxi ride, what is the maximum number of miles, m, he can travel? Write an inequality and solve it.

Inequality:  

Solution:  

3. The perimeter of a rectangle is at most 50 cm. If the length is 15 cm, what is the maximum possible width, w, of the rectangle?

4. A company produces widgets. It costs $500 to set up the production line and $2.50 to produce each widget. If they want to keep their total cost, C, under $1500, how many widgets, w, can they produce? Graph the solution on a number line.

5. If 3x - 7 > 8, then x must be greater than 5.