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Solving Quadratic Equations by Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

15 Questions

CCSS covered

Solving Quadratic Equations by Completing the Square
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square...


x2 - 12x + 31 = 0

x = -6 ± √5

x = 6 ± √5

x = 5 ± √6

x = -5 ± √6

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square... x2 + 2x - 5 = 0

x = -1 ± √6

x = 1 ± √6

x = 6 ± √1

x = -6 ± √1

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by completing the square.
y2 + 10y = -9

1 and -12

-1 and -9

1 and -9

1 and -1

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the Square
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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you add to complete the square?
x2 − 12x

12

6

36

− 6

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation by completing the square and then finding the roots. 
x2+ 6x - 4 = 36

x = -7, 7

x = 4, -10

x = -4 +- √7

x = 10, -4

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What value of c would make this a perfect sqaure trinomial?
x2 +8x + c

4

16

64

-16

Tags

CCSS.HSA-REI.B.4B

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