AnswersAZ-Common Core Algebra II ACompleting The Square

Completing The Square Answers

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1
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Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

A
x2 – 16x – 64
B
4x2 +12x + 9
C
x2 + 20x + 100
D
x2 + 4x + 16
2
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x² + x + 49

A
14
B
7
C
7/2
3

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4

Take the square root of both sides to get the solutions ⇒ 8 .

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5

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6

=

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7

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8

x² - 5x +

A
5/2
B
5/4
C
25/4
9

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

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10

Given (x – 7)2 = 36, select the values of x.

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11

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12

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13

Write the equation so that a = 1: x2 + x =

Answers:
Part 1:-6
Part 2:-13
14

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15

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16

Compare your response with the sample response presented here. Did your explanation

A
mention the square root property?
B
say that x could also be –2?
17

Given (x – 1)2 = 50, select the values of x.

A
x = –49
B
x = 51
C
mr002-1.jpg
Option C
D
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Option D
18

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19

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20

x

Answer:

-13

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