Name:    SOL A.5ABC SOLVING INEQUALITIES MINI QUIZ

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

1.

Which of the following is a graph of the solutions of OR ?
 a. b. c. d.

2.

Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already downloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.
 a. s £ 3 b. s > 3 c. s ³ 3 d. s < 3

3.

Sam earned \$450 during winter vacation. He needs to save \$180 for a camping trip over spring break. He can spend the remainder of the money on music. Write an inequality to show how much he can spend on music. Then, graph the inequality.
 a. ; b. ; c. ; d. ;

4.

Safety goggles function best at room temperature, or 75 F. A pair of special safety goggles can function at temperatures that differ from this value by at most 41.3 F. Write and solve an absolute-value inequality to find the range of acceptable temperatures. Graph the solutions.
 a. The range of acceptable temperatures is . b. The range of acceptable temperatures is OR . c. The range of acceptable temperatures is . d. The range of acceptable temperatures is OR .

Essay

1.

Justin is a lucky guy! He has a chance to win a trip on the TV game show You Can Price Like a Pro. All he has to do is win the Grocery Store Game. In this game, Justin is shown six grocery-store items without being shown the prices. He must buy multiples of items until he has a total between \$20 and \$21 inclusive. If he doesn’t reach \$20 with his first item, he continues buying items and adding to his total, until he either wins or goes over \$21.

Justin begins by buying six bottles of hand lotion.

Part A: Write a compound inequality to find the range of prices for one bottle of lotion that would make Justin win instantly.

Part B: Solve the compound inequality. Round each answer to the hundredths place.

Part C: In your work for Part B, you should have gotten a repeating decimal. Explain how you decided whether to round this number up or down.

Part D: Explain how you would graph the solutions in Part B on a number line.