AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Radical Equations and Extraneous Roots

Solving Equations Containing Two Radicals Answers

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1
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Two possible solutions of are –7 and 1. Which statement is true?

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A
Only x = –7 is an extraneous solution.
B
Only x = 1 is an extraneous solution.
C
Both solutions are extraneous.
D
Neither solution is extraneous.
2
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Which statement about is true?

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A
x = –3 is a true solution.
B
x = –3 is an extraneous solution.
C
x = 9 is a true solution.
D
x = 9 is an extraneous solution.
3

Which of the following occurs within the solution process for ?

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A
squaring both sides once
B
squaring both sides twice
C
cubing both sides once
D
cubing both sides twice
4

Which comparison of the two equations is accurate?Equation A: Equation B:

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A
Both equations have different solutions because the square root of a number is not the same as the cube root of a number.
B
Both equations result in different equations after eliminating the radicals, so they have the different solutions.
C
Both equations have the same potential solutions, but equation A might have extraneous solutions.
D
Both equations have the same potential solutions, but equation B might have extraneous solutions.
5

What is the solution to the equation ?

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A
x = –6
B
x = –1
C
x = 1
D
x = 2
6

Which statement describes how to solve ?

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A
Square both sides once and then solve the resulting linear equation.
B
Square both sides once and then solve the resulting quadratic equation.
C
Square both sides twice and then solve the resulting linear equation.
D
Square both sides twice and then solve the resulting quadratic equation.
7

Which statement describes a process to solve ?

Question illustration
A
Add a radical term to both sides and square both sides only once.
B
Add a constant term to both sides and square both sides only once.
C
Add a radical term to both sides and square both sides twice.
D
Add a constant term to both sides and square both sides twice.
9

What is the solution to the equation ?

Question illustration
A
m = –24
B
m = –12
C
m = –6
D
m = –4
10

Which statement describes how to solve ?

Question illustration
A
Square both sides and then solve the resulting quadratic equation.
B
Square both sides and then solve the resulting cubic equation.
C
Cube both sides and then solve the resulting quadratic equation.
D
Cube both sides and then solve the resulting cubic equation.

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