AnswersHigh School Math 2 AGeometric Sequences

Geometric Sequences — Cumulative exam Answers

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What is the solution to

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
22
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For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
23

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
24

What is the value of ?

Question illustration
A
–4.00
B
–0.25
C
1.51
D
2.41
25

Which expression is equivalent to ?

Question illustration
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option A
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
Option B
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
Option C
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option D
26

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
27

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
28

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
29

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
30

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Question illustration
A
1.5 days
B
2.5 days
C
9.4 days
D
21.1 days
31

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
32

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
33

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
34

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
35

The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. How many roots of f(x) are rational numbers?

Question illustration
A
0
B
1
C
2
D
3
36

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
37

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
38

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
39

64, –48, 36, –27, ...

A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x) = f(x + 1)
Option C
D
f(x) = f(x + 1)
Option D
40

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25

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