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Solving Quadratics by Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Solving Quadratics by Completing the Square
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

When do you use the plus or minus symbol?
±

After taking the square root of both sides

After adding the square to both sides

After taking half of b

After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square for
x2 + 12x + ____

x2 + 12x + 144

x2 + 12x + 36

x2 + 12x - 36

x2 + +12x - 144

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the perfect square trinomial, identify the equivalent expression

(x-18)2

(x-9)2

(x+81)2

(x+9)2

Tags

CCSS.HSA.APR.C.4

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square... x^2 + 6x - 3 = 0

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x = −1 and 11

x = 1 and −11

x = −10 and 11

x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

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