AnswersCommon Core Math III ACompleting The Square

Completing The Square Answers

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1
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Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

A
6
B
36
C
72
D
144
2
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Solve for in the equation .

Question illustration
A
x = –6 or x = 2
B
x = negative 2 plus-or-minus 2 StartRoot 2 EndRoot
Option B
C
x = –2 or x = 6
D
x = 2 plus-or-minus 2 StartRoot 2 EndRoot
Option D
3

Solve for in the equation .

Question illustration
A
x = 5 plus-or-minus 2 StartRoot 5 EndRoot
Option A
B
x = 5 plus-or-minus StartRoot 35 EndRoot
Option B
C
x = 10 plus-or-minus 2 StartRoot 5 EndRoot
Option C
D
x = 10 plus-or-minus StartRoot 35 EndRoot
Option D
4

Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

A
–9
B
8
C
9
D
36
5

What are the solution(s) of ?

Question illustration
A
or
Option A
B
or
Option B
C
x = 2
Option C
D
x = 4
Option D
6

What are the solutions of ?

Question illustration
A
or
Option A
B
or
Option B
C
or
Option C
D
or
Option D
7

Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?

A
8
B
32
C
64
D
256
8

Solve for in the equation .

Question illustration
A
x = –16 or x = –4
B
x = –10
C
x = –8
D
x = 4 or x = 16
9

Solve for in the equation .

Question illustration
A
x = 2 plus-or-minus StartRoot 42 EndRoot
Option A
B
x = 2 plus-or-minus StartRoot 33 EndRoot
Option B
C
x = 2 plus-or-minus StartRoot 34 EndRoot
Option C
D
x = 4 plus-or-minus StartRoot 42 EndRoot
Option D
10

Solve for in the equation .

Question illustration
A
x = –12 or x = 2
B
x = –11 or x = 1
C
x = –2 or x = 12
D
x = –1 or x = 11

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