Name:    Quiz 4-3: Solving Multi-Step Inequalities

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

Solve
 a. c. b. d.

Choose the inequality that best represents the situation.

2.

Tiffany’s scores on the first three of four 100-point tests were 92, 89, and 95. What score does she need on her fourth test to ensure an average score of at least 93?
 a. c. b. d.

3.

One third of a number decreased by 4 is greater than 2.
 a. c. b. d.

4.

Four times the sum of a number and 3 is at least 28.
 a. c. b. d.

5.

Carmen earns \$7.50 an hour, plus tips, as a waitress. Suppose she works 24 hours in one week. How much money in tips must she receive to earn more than \$250 that week?
 a. x > \$60 c. x > \$70 b. x > \$20 d. x > \$120

6.

Ahmad is planning a trip to Hawaii. It will cost him \$400 to fly there and \$40 per night to stay in a motel. Ahmad wants to spend no more than \$720 on airfare and lodging. How many nights can he stay in Hawaii?
 a. 8 nights or less c. 9 nights or more b. 8 nights or more d. 9 nights or less

7.

Solve 6n 5n + 19.
 a. {n | n -19} c. {n | n 19} b. {n | n 19} d. {n | n }

8.

Solve 4w - 6 > 6w - 20.
 a. {w | w  < 7} c. {w | w  < -7} b. {w | w  < 2} d. {w | w  < -2}

9.

Solve -14 > 5(2m - 3) - m.
 a. {m | m < 1} c. {m | m > 1} b. {m | m < } d. {m | m > }

10.

Solve 8r - (5r + 4) -31.
 a. {r | r -9} c. {r | r 9} b. {r | r -9} d. {r | r 9}

11.

The sum of two consecutive positive odd integers is at most 7. What is the lesser integer?
 a. 4 c. 2 b. 3 d. 1

12.

Which ordered pair is a solution of the inequality 5 - y -3x?
 a. (2, -1) c. (-3, -5) b. (-2, -1) d. (3, -5)

13.

Solve and graph the solution.

Write and solve an inequality for the situation.

14.

Jamal’s scores on the first three of four 100-point English papers were 86, 92, and 89. What score does he need on his fourth paper to ensure an average score of at least 90?

15.

The sum of twice a number and 12 is no less than 24.

16.

Three fourths of a number increased by 4 is at most 19.

17.

Nathan earns \$6.50 an hour, plus tips, as a waiter in a restaurant. Suppose he works 26 hours in a week. How much money in tips must he receive to earn at least \$229?

18.

A car rental agency charges Yolanda \$25.00 plus \$0.10 per mile that the car is driven. Yolanda wants to spend less than \$35.00 on the car rental. How many miles can she drive the rental car?