Solve Two-Step Inequalities and Inequality Word Problems

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

Jillian 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? Write the inequality to the problem.

• 50x+1/2 ≥ 4800

• 1/2x+50 ≤ 4800

• 50x+2400 ≥ 4800

• 50x+2400 ≤ 4800

Jillian 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

Elliott 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 Elliott could take with him to the movies?

• 6.25x+9.75 ≥ 50

• 6.25x+9.75 ≤ 50

• 9.75x+6.25 ≥ 50

• 9.75x+6.25 ≤ 50

Elliott 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 Elliott could take with him to the movies? (Be careful here- Elliott has to be removed from the group of friends before you answer!) Solve the inequality/answer the question.

• x ≥ 5

• x ≤ 6

• x ≥ 7

• x ≤ 7

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?

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

Write the inequality to the problem.

• 0.60x+5 ≥ 14

• 0.60x+5 ≤ 14

• 0.60x+5 > 14

• 0.60x+5 < 14

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? (Mileage is rounded up if you stop before a complete mile.) Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Noah has $100 saved in a bank account. He asked Sydney to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

• 100 - 12x > 25

• 100 - 12x < 25

• 100 - 12x ≥ 25

• 100 - 12x ≤ 25

Jodi earned $15 per hour waiting tables then she spent $35 on gas. She now has less than $25 left. How many hours did Jodi work?

• 15x - 35 < 25

• 15x - 35 > 25

• 15x - 35 ≤ 25

• 15x - 35 ≥ 25

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