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 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
2
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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
3

Which of the following is an extraneous solution of ?

Question illustration
A
x = –8
B
x = –2
C
x = 2
D
x = 8
4

Which of the following is an extraneous solution of ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 6
5

What is the solution of ?

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A
x = –72
B
x = –66
C
x = 58
D
no solution
6

What is the solution of ?

Question illustration
A
x = 6
B
x = 72
C
x = 126
D
no solution
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 = twelve-fifths
Option A
B
x = negative twelve-fifths
Option B
C
x = –6 or x = –3
D
no solution
9

Which of the following is an extraneous solution of ?

Question illustration
A
x = –12
B
x = –3
C
x = 3
D
x = 12
10

Which equation is equivalent to ?

Question illustration
A
x + 9 = x + 10
B
x + 9 = x2 + 20x + 100
C
x2 + 81 = x2 + 100
D
x2 + 81 = x2 + 20x + 100

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