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Complete the Square

Complete the Square

Assessment

Presentation

Mathematics

8th Grade

Medium

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Sara Whorton

Used 160+ times

FREE Resource

4 Slides • 9 Questions

1

Complete the Square

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2

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3

Find the c value by completing the square

  • b divided by 2

  • then square it

4

Multiple Choice

Complete the Square
x2 + 10x + ____
1
x2 + 10x - 100
2
x2 + 10x + 100
3
x2 + 10x - 25
4
x2 + 10x + 25

5

Multiple Choice

Complete the square.
x2 + 6x + ____
1
x2 + 6x + 9
2
x2 + 6x - 36
3
x2 + 6x + 36
4
x2 + 6x - 9

6

Multiple Choice

Complete the square for
x2 + 12x + ____
1
x2 + 12x + 144
2
x2 + 12x + 36
3
x2 + 12x - 36
4
x2 + +12x - 144

7

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8

Multiple Choice

Solve by completing the square:

k2 − 12k + 20 = 0

1

k = 10 and 2

2

k = -6 and -6

3

k = 22 and -10

4

k = -2 and 6

9

Multiple Choice

Solve by completing the square:

x2 + 10x = -9

1

x = 1 and -12

2

x = -1 and -9

3

x = 1 and -9

4

x = 1 and -1

10

Multiple Choice

Solve by completing the square:

n2 - 2n - 3 = 0

1

n = 3 and -1

2

n = 4 and -4

3

n = 5 and -3

4

n = 8 and -7

11

Multiple Choice

What should be added to both sides of the following equation to complete the square?
x2 + 12x = 5
1
12
2
6
3
36
4
5

12

Multiple Choice

When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
1
4
2
2
3
8
4
20

13

Multiple Choice

What is the first step to solving THIS equation by completing the square?

a2 + 10a + 21 = 0

1

Set the equation equal to zero

2

Divide 10 by 2 and add the result to both sides

3

Add a2 and 10a together

4

Subtract the 21

Complete the Square

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