Algebra2/Trig Name Cumulative Review Units 1-4 Block Date

[Pages:4]Algebra2/Trig Cumulative Review Units 1-4

Name

Block

Date

Directions: Complete the following cumulative review. You may show work if needed. Fill out your final answers on the answer sheet provided. This WILL be collected.

1. Simplify:

72 - 512

a. 82

b. 102

c. -102

d. -440

2. Simplify:

1 5 2 2

a. 1 5 2 2

c. 2 3 7 10 2

b. 2 2 2 5 10 2

d. 2 3 10 2

3. Simplify:

1i a. 2 3i

1i 2 3i

b. 2 3i 2i 3i 2 4 9i 2

4 6i

13 c.

1 5i

13 d.

4. Simplify:

3 ? -22

a. -6i3

b. 6i

c. i

d. -6i

5. Rewrite using radical notation: 132/3

a. 3132

b. 133

2

c. 133

d. 313

6. Rewrite in exponential form: 532

a. 35/2

b. 9

c. 32/5

d. 95

7. Solve: - 2 + 3 = 7

a. 48

b. 21

c.18

d. 102

8. Solve: x 3 2x 5

a. 8

b. -8

c. 10

9. 3x 143 48

a. 7

b. 12

c. -15

10. Identify the zeros. = 32 + 5 + 2

a. -2/3, -1

b. 1, -2/3

c. 0, 0

d. -10 d. 143 d. 3, 2

11. Write the quadratic equation that has x-intercepts of = -3 and = 2 a. 2 - - 6 b. 2 + - 6 c. 2 + 5 - 6 d. 2 - 5 - 6

12. Solve: 3( + 5)2 = 6

a. 0, 2

b. -5 ? 2

c. 5 ? -2

d. -5 + 2

13. Solve: 2 + 3 - 7

a.

-3+19 2

b.

3?-19 2

c.

-3?19 2

d. No Solutions

14. Determine the value of c that makes 2 + 14 + a perfect square?

a. 56

b. 14

c. 49

d. 28

15. Simplify:

x2 3x 4 x 3

x2 9 x2 2x 1

a.

+3 (-3)(+4)

b. (-1)(-3)

+4

c. (2+3-4)

+3

d.

+4 (-3)(-1)

16. Simplify: 48x2 36xy2

y

5

a.

20 33

b.

2402 363

c. 17283

5

d. No Solution

17. Simplify:

5 11

-

3 4

a. -6

3-4

b. 20-33

12

c. -13

12

d. -23

6

4+ -5

Solve:

=

18.

-2

a. 2, 4

b. -8, 1

c. 8, -1

d. -2, -4

19. How does the equation y = | + 3| - 2 compare to its parent graph, y =|| ?

a. Up 3, Left 2 b. Down 2, Left 3

b. Down 2, Right 3 d. Reflect over x-axis

20. Using the parent graph = , write the equation if it were reflected over the y-axis and shifted down 4 units.

a. = - + 4 b. = - - 4

c. = - - 4

d. = - + 4

21. Find the inverse of the given function, () = 23 + 5

a. = -2

5

b. = 3-2

5

c. = 3-5

2

d. = 23 - 5

Formulas

Quadratic Formula:

b b2 4ac x

2a

Answer Sheet

Name: _________________________

Fill in all of your answers on the sheet below. You may use this space for work as well.

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21.

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