Answers25-26 AISD - Algebra 2B-CRModule 4/ Topic 2 Test

Module 4/ Topic 2 Test Answers

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1
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Which of the following describes the graph of compared to the parent cube root function?

Question illustration
A
stretched by a factor of 2 and translated 64 units right and 5 units down
B
stretched by a factor of 8 and translated 8 units right and 5 units down
C
stretched by a factor of 2 and translated 8 units right and 5 units down
D
stretched by a factor of 8 and translated 64 units right and 5 units down
2
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Which function is undefined for x = 0?

A
y = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
y = StartRoot x minus 2 EndRoot
Option B
C
y = RootIndex 3 StartRoot x + 2 EndRoot
Option C
D
y = StartRoot x + 2 EndRoot
Option D
3

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

Question illustration
A
0.32 km
B
0.75 km
C
1.12 km
D
3.17 km
4

What is the following quotient?

Question illustration
A
StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction
Option A
B
StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction
Option B
C
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
Option C
D
StartFraction 79 Over 9 EndFraction
Option D
5

What is the following product?

Question illustration
A
x squared (RootIndex 3 StartRoot 28 x squared EndRoot)
Option A
B
x Superscript 5 Baseline (RootIndex 3 StartRoot 28 x EndRoot)
Option B
C
4 x squared (RootIndex 3 StartRoot 3 x squared EndRoot)
Option C
D
4 x Superscript 5 Baseline (RootIndex 3 StartRoot 3 x EndRoot)
Option D
6

Which equation is the inverse of y = 9x2 – 4?

A
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot
Option B
C
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds
Option D
7

What is the following product?

Question illustration
A
2 StartRoot 10 EndRoot
Option A
B
3 StartRoot 10 EndRoot
Option B
C
4 StartRoot 10 EndRoot
Option C
D
10 StartRoot 3 EndRoot
Option D
8

Which expression is equivalent to ?

Question illustration
A
StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction
Option B
C
StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction
Option C
D
StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction
Option D
9

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

A
$6,075
B
$6,118
C
$6,456
D
$6,778
10

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
11

Which expression is equivalent to ?

Question illustration
A
216
B
1,728
C
RootIndex 3 StartRoot 12 EndRoot
Option C
D
RootIndex 3 StartRoot 72 EndRoot
Option D
12

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

Question illustration
A
(0, 6)
B
(1, 4)
C
(2, 2)
D
(3, 0)
13

What is the solution of ?

Question illustration
A
x = –3
B
x = 4
C
x = –3 or x = 4
D
no solution
14

Which equation is the inverse of ?

Question illustration
A
y = one-sixth x squared minus four-thirds x + StartFraction 43 Over 9 EndFraction
Option A
B
y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option B
C
y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option C
D
negative (x minus 4) squared minus two-thirds = negative 6 y + 12
Option D
15

If the range of and the range of are the same, which statement is true about the value of m?

Question illustration
A
m can only equal 1.
B
m can be any positive real number.
C
m can be any negative real number.
D
m can be any real number.
16

Which expression is equivalent to ?

Question illustration
A
8y10
B
8y50
C
32y10
D
32y50
17

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

Question illustration
A
2 Superscript one-third
Option A
B
2 Superscript one-half
Option B
C
2 Superscript two-thirds
Option C
D
2 Superscript three-halves
Option D
18

What is the following simplified product? Assume

Question illustration
A
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot + x squared StartRoot 15 x EndRoot
Option A
B
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus x Superscript 4 Baseline StartRoot 75 EndRoot + x squared StartRoot 15 EndRoot
Option B
C
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x squared StartRoot 15 EndRoot
Option C
D
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x cubed StartRoot 15 x EndRoot
Option D
19

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.
Option A
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.
Option C
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.
Option D
20

What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 5
Option A
B
x greater-than-or-equal-to 2
Option B
C
x greater-than-or-equal-to 5
Option C
D
x greater-than-or-equal-to 10
Option D

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Module 4/ Topic 2 Test Answers — 25-26 AISD…