AnswersAlgebra III AMultiplying and Dividing Rational Expressions

Radical Equations Answers

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Narine is solving the equation = 6 for q. Her work is shown. = 6 = 623q = Aq = B

Question illustration
A
A = 6 B = 2
B
A = 9 B = 3
C
A = 12 B = 4
D
A = 36 B = 12
2
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Which equation is equivalent to = 36?

Question illustration
A
= 3
Option A
B
x + 15 = 9
C
x + 15 = –6
D
= 24
Option D
3

Solve the radical equation. = x – 10

Question illustration
A
–15
B
–5
C
There are no true solutions.
D
Both –5 and –15 and are true solutions.
4

What is the best first step in solving the equation 3 + = 5?

Question illustration
A
Subtract 3 from both sides.
B
Find the cube of .
Option B
C
Cube both sides of the equation.
D
Subtract 5 from both sides.
5

Solve the radical equation. = n – 3

Question illustration
A
2
B
There are no extraneous solutions to the equation.
C
7
D
10
6

What is the solution to the equation ?

Question illustration
A
p = –6
B
p =
Option B
C
p = –4
D
p =
Option D
7

Jacob is solving the equation = 27 for q. His work is shown. = 27 = 9 = 923q = A q = B

Question illustration
A
A = 3B = 1
B
A = 9B = 3
C
A = 18B = 6
D
A = 81B = 27
8

Which equation is a radical equation?

A
4p = + p
Option A
B
+ x =
Option B
C
– w = –34
Option C
D
5 – =
Option D
9

Consider the radical equation = c + 2. Which statement is true about the solutions c = 3 and c = –6?

Question illustration
A
The solution c = 3 is an extraneous solution.
B
The solution c = –6 is an extraneous solution.
C
Both c = 3 and c = –6 are true solutions.
D
Neither are true solutions to the equation.
10

What is the value of q in the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
6
D
10

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