Solve Two-Step Inequalities and Inequality Word Problems

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

• x ≥ 48

• x ≤ 48

• x ≥ 24

• x ≤ 24

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

A personal trainer charges a one-time fee of $60 plus $25 for each individual session. A fitness club charges a yearly fee of $450 plus $10 for each session with a personal trainer. At what point does it become cheaper to join the gym as opposed to working with only a personal trainer?

Remember there are two sides to every inequality.

• After 26 visits with a trainer.

• After 15 visits with a trainer.

• On the 26th visit.

• It is never cheaper.

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?

• x ≥ $6250

• x ≤ $6250

• x ≥ $62.50

• x ≤ $62.50

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

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

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?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28