I need to answer all of these Algebra problems showing as much work as possible. Thank you

Part I: Multiple Choice. Select the letter of the best response.

Revision A April 6, 2017

1. Determine the zeros of the quadratic function f(x) = 6×2 – 13x + 5.

1 5

3′ 2

A.

B.

1

3′ 2

1

5

C.

2

3

D.

1 5

2′ 3

L

1

2. Solve 35c-2

27

2

A.

ته را

B. 1

1

C.

11

D.

5

3. Determine the domain of the function f(x) =

X – 2

x2 + 5x

en

A. {x|x + 2)

B. {x|x = 0, 2)

C. {x|270, -5}

D. {x|x + -5, 2}

Page 2 of 14

4. Select the equation below that has no solution.

A. 1x +31 – 8 = -2

C. |2x – 3| = 0

B. 12 + x1 = 5

D. |x + 4+5 = 2

5. Determine the solution of (x – 21 < 3.
A. (-0, 5]
B. [-1, 5]
C. (-0, -1] U [5, 00)
D. [-3, 3]
6. Solve log2 (x - 5) = 3
13
A.
2
B. 11
C. 13
D. 14
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7. Determine all solutions of the equation 5x2 – 15 = 0.
A. 3,5
B. 5, -5
C. 73, -73
D. 3, -3
8. Solve x3 + 8x > 6×2

A. (-0, 0) U (4, 0)

B. (2, 4)

C. (0, 2) U (4, 0)

D. (-0, 0) U (2, 4)

9. Write the equation for the function that has a graph with the shape of y= Vă, but is shifted

down 5 units.

A. y= Vx+5 B. 9= V2 – 5 C. y= Vc+5 D. y= V – 5

10. Which of the graphs is symmetric with respect to the z-axis?

A.

B.

C.

D.

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11. Given that f(x) = 3.2 – 1 and g(x) = Vx – 2, find (fog)(6).

A. 2

B. 5

C. 34

D. 715

12. Determine the midpoint of the line segment between the points (-4, -2) and (2, 5).

3

A.

7

B.

3

2

2

7

C.

(-1

2

D.

3 3

2′ 2

13. Convert logw p=c to an exponential equation.

A. WC =P

B. p = C

C. WP = C

D. CP = w

14. Select the graph that most closely resembles the graph of y = log4 X.

A.

B.

X

*

-1

1

-1

C.

D.

#

+ +

-1

-1

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15. Find the vertex of the graph of f(x) = 2×2 – 16x + 3

A. (4, -29)

B. (4, 3)

C. (-4, 99)

D. (-4, 35)

16. The graph of f(x) is given.

Y

-2,00

|(3,0)

X

(2, -6.25)

Select the graph of f(x – 3).

A.

B.

(1,0).

th

(-5,0)

0,0)

(6,0) 2

(-3, -6.25)

(3, -6.25)

C.

D.

ญ

(-2,3)

(3,3)

T

(2, -3.25)

(-2,-3)

(3,-3)

(1,-9.25)

Page 6 of 14