AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

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21
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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
22
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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.
23

Which describes how to graph by transforming the parent function?

Question illustration
A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
24

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
25

What is the simplified form of the following expression?

Question illustration
A
6 StartRoot 2 EndRoot
Option A
B
18 StartRoot 2 EndRoot
Option B
C
30 StartRoot 2 EndRoot
Option C
D
36 StartRoot 2 EndRoot
Option D
26

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
27

Which describes how to graph by transforming the parent function?

Question illustration
A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
28

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.
29

Which statement is true of the function f(x) = ? Select three options.

Question illustration
A
The function is always increasing.
B
The function has a domain of all real numbers.
C
The function has a range of {y|– < y < }.
Option C
D
The function is a reflection of y = .
Option D
E
The function passes through the point (3, –27).
30

The solid graph is a translation of .

Question illustration
A
2 units up
B
2 units down
C
2 units left
D
2 units right
31

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
32

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
33

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?

Question illustration
A
in.
Option A
B
in.
Option B
C
in.
Option C
D
in.
Option D
34

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
35

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
36

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
37

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
38

The graph of the cube root parent function y = is translated to form f(x) shown on the graph.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
39

What is the following quotient?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 4 EndFraction
Option A
B
StartFraction 1 + StartRoot 3 EndRoot Over 4 EndFraction
Option B
C
StartFraction 1 minus StartRoot 3 EndRoot Over 4 EndFraction
Option C
D
StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction
Option D
40

What is the solution of ?

Question illustration
A
x = 142
B
x = 232
C
x = 322
D
no solution

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