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Solving Quadratic Equations by Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

10 Questions

CCSS covered

Solving Quadratic Equations by Completing the Square
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of C.
x2+24x+c

12

144

576

24

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the following quadratic expression in completed square form...

x2 + 4x + 10

(x + 4)2 + 6

(x + 2)2 + 6

(x + 4)2 - 6

(x + 2)2 - 6

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the following quadratic expression in completed square form...

x2 + 6x = 5

(x + 3)2 = 5

(x + 6)2 = 9

(x + 3)2 = 14

(x + 6)2 = 14

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is one of the solutions to this equation?
(2x - 1)2 = 49

7

-7

-4

-3

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a2 and 10a together

Subtract the 21

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the missing value "c" to create a perfect square trinomial:
x2 – 8x  + ___ 

-4

16

4

8

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by ANY method you have learned: x2 − 2x - 11=0

Tags

CCSS.HSA-REI.B.4B

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