Garden Grove Unified School District Algebra 2 Quarter 2 Benchmark Review 2009-10

Algebra2Q2BenchmarkReview2009‐10

1. AII: 3.0 Find the product and simplify:

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(2x - 3)(4x2 + 6x + 9) 2. AII: 3.0 Find a simplified expression equivalent to

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(3x + 1)2 + (x - 2)2 - x(2x + 3) 3. AII 3.0 One factor of

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6x3 + 6x2 - 2x - 2 is

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3x2 - 1. What is the other factor? 4. AII: 3.0 What is the difference when

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4x2 - 2x + 6 is subtracted from

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2x2 - 3x + 1? 5. AII 7.0 Find the product:

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x2 + x - 2x2 - 4

∑x2 - 2xx2 -1

6. AII: 7.0 The sides of a triangle are

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3x2 - 9

,

�

2x - 3

, and

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4x + 3

. What is the perimeter?

7. AII 7.0 Add:

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2xx +1

+5x

8. AII: 7.0 Find the simplified factored expression equivalent to

�

x2 - 3x - 4x2 - 2x - 8

∏x2 - 2x - 3

x2 + 7x + 10

9. AII: 7.0 What is the simplified form of the

expression

�

12x - 3

-23- x

?

10. AII: 7.0 What is the simplified form of

�

(x2 - 2x)2

x(x3 - 8) ?

11. AII: 9.0 Describe the transformation from

�

y = x2 to

�

y = (x - 1)2 + 2

12. AII: 9.0 Describe the change in the graph of the parabola as the equation changes from

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y = x2 to

�

y = (x + 4)2 - 2 a) change in the vertex b) opens up, down or stays the same c) wider, narrower, or same width 13. AII: 9.0 The graphs of two parabolas and their equations are shown. Which statement is true about “a”? Explain your choice.

a) a > 1 b) 0 < a < 1 c) a < 0 d) a = 1

�

y = x2

�

y = ax2

Garden Grove Unified School District Algebra 2 Quarter 2 Benchmark Review 2009-10

Algebra2Q2BenchmarkReview2009‐10

14. AII 9.0 The equation of a parabola is

�

y = a(x - b)2 + c . If a and c are negative numbers, what effect does this have on the parabola? 15. AII: 24.0 The product of h(x) and q(x) is

�

4x3 - 2x2 + 12x - 6. If h(x) =

�

x2 + 3, what is q(x)? 16. AII: 24.0 If

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f (x) = x2 + 5x + 1 and

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g(x) = x - 3, what is

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f (3) - 2g(1)? 17. AII: 24.0 If

�

f (x) = 2x2 + 1 and

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g(x) = 4x - 3, what is

�

f [g(x)]? 18. AII: 24.0 If

�

f (x) = 3x3 - 2 , what is

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f -1(x)? 19. AII: 10.0 From the graph what are the zeros of the function? 20. AII: 10.0 What is the maximum value of the graph represented by

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f (x) = - x2 - 6x + 3? 21. AII: 10.0 What is the a) minimum value and the b) zeros of

�

f (x) = x2 - 2x - 3 = 0?

22. AII: 10.0 Which of the following is the graph of the equation

�

y = -(x + 2)2 + 3 ?

Garden Grove Unified School District Algebra 2 Quarter 2 Benchmark Review 2009-10

Algebra2Q2BenchmarkReview2009‐10

Answer Key

1.

�

8x3 - 27 2.

�

8x2 - x + 5 3. 2x + 2 4.

�

-2x2 - x - 5

5.

�

xx +1

6.

�

6x - 3x2 - 9

7.

�

2x2 + 5x + 5x(x +1)

8.

�

x + 5x - 3

9.

�

14x - 3

10.

�

x(x - 2)x2 + 2x + 4

11. a translation of one unit to the right and two units up 12. a) moves from (0,0) to (-4, -2) b) stays the same c) same width 13. c 14. The parabola has a maximum, becomes down turning, graph moves down 15. 4x -2 16. 29 17.

�

32x2 - 48x + 19

18.

�

x + 23

3

19. 0 and 4 20. 12 21. minimum = - 4; zeros: -1 and 3 22. A