Cumulative Exam — Cumulative exam Answers

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Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
Option A
B
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
Option B
C
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
Option C
D
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.
Option D
3

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
4

The height of the equilateral triangle below is 15 units. What is the value of x?

Question illustration
A
15 StartRoot 3 EndRoot
Option A
B
30 StartRoot 3 EndRoot
Option B
C
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
Option C
D
StartFraction 30 Over StartRoot 3 EndRoot
Option D
5

Which expression is equivalent to ? Assume x 0 and .

Question illustration
A
StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction
Option A
B
StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction
Option B
C
StartFraction 4 x squared y Over 9 EndFraction
Option C
D
StartFraction 2 x squared y Over 3 EndFraction
Option D
6

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
7

In the diagram below, = . What is the value of m?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
2 StartRoot 3 EndRoot
Option D
8

Which graph shows the solution to the equation below?

Question illustration
A
On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.
Option A
B
On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.
Option B
C
On a coordinate plane, a curve and a line are shown.
Option C
D
On a coordinate plane, a curve and a cubic function are shown.
Option D
9

Which measure is of an angle that is coterminal with a 425° angle?

A
425° – (1,000n)°, for any integer n
B
425° – (840n)°, for any integer n
C
425° + (960n)°, for any integer n
D
425° + (1,440n)°, for any integer n
11

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
12

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
13

Which of the following is true regarding the solution to the logarithmic equation below?

Question illustration
A
is not a true solution because
Option A
B
is not a true solution because
Option B
C
is a true solution because
Option C
D
is a true solution because
Option D
15

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
16

Which transformations are needed to change the parent sine function to ?

Question illustration
A
vertical stretch of , horizontal stretch to a period of 2p, phase shift of units to the left
Option A
B
vertical compression of , horizontal compression to a period of , phase shift of units to the left
Option B
C
vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of units to the right
Option C
D
vertical compression of 4, horizontal compression to a period of , phase shift of units to the right
Option D
17

What is the simplified form of the following expression?

Question illustration
A
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
Option B
C
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction
Option D
19

What is written as a single logarithm?

Question illustration
A
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
Option A
B
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
Option B
C
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
Option C
D
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)
Option D
20

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D

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