# Module 7 Quiz

Question

1. Solve the following system by adding.

a. (–1, –8)

b. (–8, –1)

c. (1, 8)

d. (8, 1)

2. Adult tickets for a play cost \$17 and child tickets cost \$12. If there were 32 people at a performance and the theater collected \$474 from ticket sales, how many children attended the play?

a. 13 children

b. 14 children

c. 15 children

d. 18 children

3. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.

a. 5

b. 7

c. 17

d. 34

4. Perform the indicated multiplication. Then simplify the radical expression.

a. w + 4

b. w + 4 + 4

c. 9 +

d. 27 +

5. Perform the indicated division. Rationalize the denominator, if necessary. Then, simplify.

a. 9 +

b. 9 +

c. 9 +

d. 27 +

6. A motorboat traveled 48 mi down river in 2 hrs. The return trip takes 3 hrs. What was the rate of the boat in still water? What was the rate of the current?

a. Boat in still water: 4 mi/hr; Current: 10 mi/hr

b. Boat in still water: 10 mi/hr; Current: 4 mi/hr

c. Boat in still water: 4 mi/hr; Current: 20 mi/hr

d. Boat in still water: 20 mi/hr; Current: 4 mi/hr

7. Decide whether the following is already written in simplest form. If it is not, explain what needs to be done.

a. Simplest form

b. Remove perfect square factors from radical

8. Evaluate if possible.

a. 32

b. 8

c. 4

d. Not a real number

9. The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width of the rectangle.

a. 7 in.

b. 8 in.

c. 9 in.

d. 10 in.

10. The area is given in square feet. Find the length of a side of the square. Round your answer to the nearest hundredth of a foot.

a. 4.12 ft

b. 4.47 ft

c. 2.24 ft

d. 5.10 ft

11. The base of a ladder is 4 feet away from the wall. The top of the ladder is 5 feet from the floor. Find the length of the ladder to the nearest thousandth.

a. 6.403 feet

b. 4.271 feet

c. 8.704 feet

d. 5.382 feet

12. Perform the indicated multiplication. Then simplify.

a.

b.

c.

d.

13. Find the perimeter of the triangle shown in the figure. Write your answer in reduced radical form.

a.

b.

c.

d.

14. Solve the following system by adding.

-0.3x + 0.9y = -6.6 0.6x + 0.4y = -22

a. (–26, –16)

b. (–260, –160)

c. (–16, –26)

d. (–160, –260)

15. Simplify .

a. 54

b.

c.

d.

16. State whether is rational or irrational.

a. Rational

b. Irrational

17. Stan invested \$13,000, part at 13% and part at 18%. If the total interest at the end of the year is \$2,240, how much did he invest at 13%?

a. \$11,000

b. \$3,000

c. \$2,000

d. \$1,000

18. Simplify. Assume all variables represent positive real numbers.

a.

b.

c.

d.

19. Perform the indicated multiplication. Then simplify the radical expression.

a. 6

b. 18

c. 4

d. 36

20. Simplify by combining like terms.

a.

b.

c.

d. Cannot be simplified

Finish

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