Unit Test — Cumulative exam Answers

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41
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For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
42
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Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
43

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
44

Which expression is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 2 cubed EndRoot
Option A
B
StartRoot 2 Superscript 5 EndRoot
Option B
C
RootIndex 4 StartRoot 4 cubed EndRoot
Option C
D
StartRoot 4 Superscript 5 EndRoot
Option D
45

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
46

What is the product of ?

Question illustration
A
StartFraction 7 Over m Superscript 5 EndFraction
Option A
B
7m6
C
StartFraction 10 Over m Superscript 5 EndFraction
Option C
D
10m6
47

Which expression is equivalent to ?

Question illustration
A
x Superscript one-half Baseline y Superscript 4
Option A
B
x Superscript one-eighth Baseline y Superscript 8
Option B
C
x Superscript one-fourth Baseline y Superscript 8
Option C
D
x Superscript one-fourth Baseline y Superscript 4
Option D
48

Which expression is equivalent to ? Assume .

Question illustration
A
x y squared StartRoot 8 x cubed EndRoot
Option A
B
2 x cubed y cubed StartRoot x y squared EndRoot
Option B
C
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
Option C
D
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Option D
49

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

A
(16, positive infinity)
Option A
B
(Negative 16, positive infinity)
Option B
C
(Negative infinity, 16)
Option C
D
(Negative infinity, Negative 16)
Option D
50

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D

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