AnswersCommon Core Algebra II 2014 - MA3111 CRRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots Answers

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1
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Which of the following is an extraneous solution of ?

Question illustration
A
x = –12
B
x = –3
C
x = 3
D
x = 12
2
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Which equation is equivalent to ?

Question illustration
A
x + 11 = 225
B
x + 121 = 225
C
StartRoot x EndRoot = 15 + 11
Option C
D
StartRoot x EndRoot = 15 minus 11
Option D
3

Which of the following is an extraneous solution of ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 6
4

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is . What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Question illustration
A
11.5 feet
B
13.1 feet
C
14.6 feet
D
15.4 feet
5

Which of the following is a radical equation?

A
x StartRoot 3 EndRoot = 13
Option A
B
x + StartRoot 3 EndRoot = 13
Option B
C
StartRoot x EndRoot + 3 = 13
Option C
D
x + 3 = StartRoot 13 EndRoot
Option D
6

Which equation is related to ?

Question illustration
A
x + 10 = x2 + x + 1
B
x + 10 = x2 + 2x + 1
C
x + 10 = x2 + 1
D
x + 10 = x2 – 1
7

Determine the solution for the following equation:

Question illustration
A
x = 3
B
x = 5
C
x = 13
D
x = 65
8

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
9

What is the solution of ?

Question illustration
A
x = –72
B
x = –66
C
x = 58
D
no solution
10

What is the solution of ?

Question illustration
A
x = –8 or x = –1
B
x = –8
C
x = –1
D
no solution

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