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

Radical Equations and Extraneous Roots — Unit test Answers

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1
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Jamal simplified the expression where and . Which describes the error Jamal made?

Question illustration
A
He should have written the square root of in the answer as , not .
Option A
B
He should have written the square root of in the answer as , not .
Option B
C
He should have written the 5 inside of the radical in the answer.
D
He should have written the 3 outside of the radical in the answer.
2
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What is the solution of ?

Question illustration
A
x = –10
B
x = 3
C
x = –10 or x = 3
D
no solution
3

The area of a square room in square units can be represented by 169x2y4. What is the perimeter of the room?

A
13|x|y2 units
B
14|x|y2 units
C
26|x|y2 units
D
52|x|y2 units
4

A science teacher told his students that the expression represents the area in square units of the contaminated square region in their activity. What is the width of the region in simplest form?

Question illustration
A
units
Option A
B
units
Option B
C
12m2n2 units
D
24m2n2 units
5

What is the simplified form of the following expression?

Question illustration
A
10|a5b5|
B
10a8b8
C
100|a5b5|
D
100a8b8
6

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

Question illustration
A
2 feet
B
4 feet
C
11 feet
D
19 feet
7

Which expression is equivalent to ? Assume and .

Question illustration
A
StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 2 c cubed EndFraction
Option A
B
StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a squared c cubed EndFraction
Option B
C
StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 6 c cubed EndFraction
Option C
D
StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a c EndFraction
Option D
8

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Question illustration
A
103 millibars
B
194 millibars
C
363 millibars
D
910 millibars
9

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
10

Which expression is equivalent to ?

Question illustration
A
93
B
9
C
33
D
3

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