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
Page 3 of 14
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.
Page 4 of 14
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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
Page 5 of 14
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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
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