dianemariabostan

Example 1:(showing work)

Simplify 4-6*2

a. -4

b. -8

c. 8

d. 2

work: 4 - 12

-8

answer = b

Example 2 (explanation)

State the property illustrated in the following

7+2=2+7

a. associative property

b. distributive property

c. substitution property

d. commutative property

This is the commutative property for addition since theorder has changed around the + sign.

answer = d

You may use graph paper, the Reference Information Sheet, aruler, and a calculator in answering the questions. Use scratchpaper to work out your answers to each problem.

Notes:

(1)Figures are drawn as accurately as possible except when it isstated that a figure is not drawn to scale. All figures lie in aplane unless otherwise noted.

(2)All numbers used are real numbers. All algebraic expressionsrepresent real numbers unless otherwise stated.

Simplify #1 through 9.

1. 3 + 4² - 5

a. 6

b. 14

c. 45

d. 67

2. 30 – 2³ (3)

a. 6

b. 17

c. 55

d. 72

3. (4³)⁵

a. 4^-2

b. 4³

c. 4⁸

d. 4¹⁵

4. (4³)(4⁴)
4⁹

a. 4¹⁶

b. 4²

c. ¼²

d. 1/4

5. a(x – 5) – a(x + 2)

a. -7a

b. ax – 3a

c. ax – 7a

d. 2ax – 3a

6. 16x³ –8x² + 4x⁴

2x

a. 8x² – 4x + 2x³

b. 8x² – 4 + 2x³

c. 8x³ – 4x + 2x³

d. 8x² – 4x + 2x

7. (3x³ + 2x² + 10) +(3x³ + 2x² + 10x)

a. 6x³ + 4x² + 20x

b. 6x³ + 4x² + 10x + 10

c. 9x³ + 4x² + 100x

d. 9x³ + 4x² + 10x + 10

8. (x + 5)(2x – 6)

a. 2x² - 30

b. 2x² – 6x

c. 2x² + 7x – 6

d. 2x² + 4x – 30

9. x²â€“ 9
x² + 2x - 15

a. x + 3
x + 5

b. 3
2x + 5

c. x – 1
x – 6

d. 9
15 – 2x

Factor #10 through 14 completely.

10. x² + 2x - 15

a. (x – 5)(x +3)

b. (x – 5)(x - 3)

c. (x + 5)(x + 3)

d. (x + 5)(x - 3)

11. 2x² - 50

a. 2(x + 5)²

b. 2(x - 5)²

c. (x + 5)(x – 5)

d. 2(x + 5)(x – 5)

12. x² - x + 7

a. (x + 7)(x – 1)

b. (x + 1)(x + 7)

c. (x – 7)(x + 1)

d. cannot be factored

13. 9x² – 9x

a. 9(x-1)

b. 9(x + 1)(x – 1)

c. 9x(x- 1)

d. x(3x + 1)(3x – 1)

14. Which expression is equivalent to (2x – 5) – (3x – 8)?

a. –x-13

b. –x+3

c. 2x-16

d. 5x-3

15. Evaluate 4^² + 8 – 3(8 – 2) + 11 .

a. 237

b. 137

c. 17

d. 42

16. Simplify ­­­ (-3a² + 8a –2) – (-4a² – 2a + 6)

a. a² + 10a - 8

b. 12a⁴ - 16a² - 12

c. -7a² + 6a + 4

d. a² + 6a - 8

17. Divide (16x⁶ – 12x⁴+ 4x²)by 4x².

a. 4x³ - 3x² + 1

b. 4x⁴ - 3x²

c. 4x⁴ - 3x² + 1

d. 12x⁴ - 8x² + 0

18. Simplify (a³b)².

a. a³b²

b. a⁶b

c. a⁶b²

d. a⁹b²

19. Subtract (6a² + 3a) – (4a² - 2a) .

a. 2a² + a

b. 2a²+ 5a

c. 3

d. 3a³

20. Factor y² – 400.

a. (y – 20)²

b. (y – 20)(y+20)

c. (y + 20)²

d. cannot be factored

21. Multiply (a+b)(a-b).

a. a² + 2ab + b²

b. a² + b²

c. a² – b²

d. a² – 2ab + b²

22. The perimeter of a rectangle is (2x – 7) inches and itswidth is (x² – 5) inches. Find an expression for theperimeter of the rectangle.

a. 2x³ + 35

b. x² - 2x + 2

c. x² + 2x – 12

d. 2x² + 4x – 24

23. Mrs. Reed is decorating wreaths. She needs 24inches of gold ribbon and 45 inches of white ribbon to tie aroundeach wreath. The white ribbon is sold by the foot. About how manyfeet of white ribbon will Mrs. Reed need to make 18 wreaths?

a. 30 ft.

b. 50 ft.

c. 70 ft.

d. 90 ft.

24. Sarah’s parents are filling their swimming pool. Her poolholds 22,000 gallons. It takes 16 hours to fill. What unit wouldyou use to represent the rate that water is flowing into thepool?

a. Hours

b. Gallons

c. gallons per hour

d. gallons per minute

25. What is (2.5 X 10²)(6.3 X 10⁵) inscientific notation?

a. 1.575 X 10⁷

b. 1.575 X 10⁶

c. 1.575 X 10¹⁰

d. 1.575 X 10⁸

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