Name



Name _______________________ Algebra 2, Semester Review

Part 1

I. Evaluate

For questions 1 – 6, tell if each relation is a function

1. {(2, 3), (3,-1), (4, 6), (2, 0)} 2. {(4, 5), (5, 5), (6, 5), (7, 5)} 3. x = 2

4. 5. 6.

If f(x) = x2 + 3, g(x) = 3x + 1 and h(x) = x + 1, evaluate each.

7. f(4) 8. h(-4) 9. f(g(3))

10. h(f(x)) 11. f(-3) 12. g(-2x – 4)

13. Evaluate the Discriminant for: 14. Solve:[pic]

A. [pic]

B.[pic]

16. Simplify [pic] 17. Subtract (2 + 5i) – (7 - 9i) 18. Multiply (1 + 4i)(6 – 3i)

19. Simplify [pic] 20. Add (-2 + 9i) + (-3 - 4i) 21. Multiply (7 - 3i)(7 + 3i)

Name _______________________ Algebra 2, Semester Review

Part 2

II. Graph

1. y = [pic]- 2 2. y = (x + 2)2 - 3 3. y = [pic]

4. y = – (x – 3)2 5. y = [pic](x – 3)2 - 5 6. 2x – 5y > 10

7. y = [pic] + 5 8. x < -3 9. y = [pic]

10. y = [pic] 11. y = [pic] 12. y = [pic]

Name _______________________ Algebra 2, Semester Review

Part 3

III. Solve

1. 16 – 3(2x + 5) = -23 2. [pic]=[pic] 3. [pic]= 12

4. 4 + [pic] = 7 5. 3x2 + 123 = 15 6. x2 = –81

7. 2x + 5 < 7x – 35 8. –6x + 1 [pic] 13 9. [pic]

10. [pic] 11. 2x + 3y = 17 12. 5x – 2y = 20

5x – 6y = 2 11x + 3y = 7

13. 3x – 4y = -15 14. 2x + 3y – 5z = -24 15. x + 2y – 3z = -16

y = 2x – 5 4x + y + 2z = 10 5x + 7y – 6z = -38

6x – 2y + 3z = 22 4x + y + z = -6

16. [pic] 17. [pic] 18. 15x2 + 30x = 0

19. 2x2 + 17x + 30 = 0 20. 3x2 + 11x = 4 21. 5x2 – 4x – 12 = 0

22. 9x2 = 16 23. 3x2 – 4x – 9 = 0 23. 5x2 + 2x + 3 = 0

24. 2x2 + 3 = 8x 25. x2 = 5x - 2

Name _______________________ Algebra 2, Semester Review

Part 4

Find Equation

For questions 1-6, find the equation of the line given the following information.

1. slope = –2, 2. contains the points 3. contains the point (4, -7)

contains the point (1, 5) (–2,4) and (6,0) and is parallel

to the line y = -2x – 5

4. contains the point ( 6, 7) 5. y varies directly as x, 6. slope is undefined

and is perpendicular to y = 7 when x = 3 contains the point (-2, 5)

y = -3x + 2

7. Find the equation of the parabola 8. Find the inverse of 9. Find the inverse of

with vertex at (–1, 3) that passes y = 2x + 5 y = 3x2 + 2

through the point (-5, -29).

Write each equation in vertex form by completing the square.

10. y = x2 – 18x + 32 11. y = 2x2 + 12x + 13 12. y = [pic]x2 + 3x - 2

Name _______________________ Algebra 2, Semester Review

Part 5

Chapter 6

Evaluate

1) [pic] 2) [pic] 3) [pic]

Find the inverse of each function

4) [pic] 5) [pic] 6) [pic]

Solve for x:

7) [pic] 8) [pic] 9) [pic]

10) [pic] 11) [pic] 12) [pic]

Determine the zeros and their multiplicity for each function

13) [pic] 14) [pic] 15) [pic]

Describe the end behavior of each function

16) [pic] 17) [pic] 18) [pic]

Divide

19) [pic] 20) [pic]

using synthetic division using long division

21) [pic]

using long division

Expand each binomial

22) [pic] 23) [pic] 24) [pic]

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