Inequality Word Problems

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

Tags

CCSS.6.EE.B.8

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62
• k > 62
• k < 62
• k ≥ 62

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

• let x = Ruby

• let x = the number of weeks to reach her goal

• let x = her monthly allowance

• let x = her savings account

Tags

CCSS.7.EE.B.4A

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Tags

CCSS.7.EE.B.4B

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Define the variable.

• let x = Griffin

• let x = the dollar amount of sales

• let x = commission

• let x = weekly salary

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550

Tags

CCSS.7.EE.B.4B

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Solve the inequality/answer the question.

• x ≥ $6250

• x ≤ $6250

• x ≥ $62.50

• x ≤ $62.50

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

Tags

CCSS.7.EE.B.4B

Dylon decides to takes 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 Dylon could take with him to the movies?

Define the variable.

• x = Dylon

• x = the number of friends

• x = the price of an adult ticket

• x = the price of a child ticket