One Step Inequalities & Word Problems

Colin began with $45 in his account. He saved $15 every week and now has more than $205. For how many weeks was he saving money?

• 45 - 15x < 205

• 45 + 15x > 205

• 45 + 15x ≤ 205

• 45 - 15x ≥ 205

Kyle used a $25 giftcard and bought a bunch of toys that cost $2 each for his little brothers. He still has over $10 left on the gift card. How many toys did he buy?

• 25 - 2x ≥ 10

• 25 + 2x < 10

• 25 - 2x > 10

• 25 - 2x ≤ 10

Henry has run 20 miles so far this week. If he intends to run more than 50 miles this week, how many miles on average should he run on each of the 2 days remaining in the week?

• 20 + 2x ≤ 50

• 20 - 2x ≤ 50

• 20 + 2x > 50

• 20 - 2x < 50

Lukas earns $7 for each car he washes. He always saves $25 of his weekly earnings. This week, he wants to have at least $65 in spending money. How many cars must he wash?

• 7x - 25 < 65

• 7x + 25 ≤ 65

• 7x - 25 ≥ 65

• 7x + 25 ≥ 65

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile, what is the most miles you could ride in the taxi without using all of your money?

(Mileage is rounded up if you stop before a complete mile.)

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Owen decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Owen could take with him to the movies?

• x ≥ 6

• x ≤ 6

• x ≥ 7

• x ≤ 7

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Solve

• y < 139

• y ≥ 55

• y > 55

• y ≤ 139

Solve 

• q≤46

• q<46

• q≥46

• q<46

Match the graph with its inequality.

• 11 < a

• 11 > a

• 11 ≤ a

• 11 ≥ a