Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Assessment

Quiz

Mathematics

8th Grade

Hard

Created by

Wayground Content

Used 4+ times

FREE Resource

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16 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the following equation by completing the square:
n2 - 2n - 3 = 0

{3 and-1}
{4 and -4}
{5 and -3}
{8 and -7}

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

4
2
8
20

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve by completing the square.
x2 + 4x= 12

x = 2 and -2
x = -6 and 2
x = 6 and -2
x = 1 and -1

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve by completing the square:
k2 − 12k + 23 = 0

{6 + √13, 6 - √13}
{-6 + √13, -6 - √13}
{6 + √59, 6 - √59}
{-6 + √59, -6 - √59}

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by completing the square.
x2 +12x = 5

X = 6 + √41 or  6 − √41
X= 35 or 47
X = −6 + √41 or  −6 − √41
X = √35 or √47

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the following equation by completing the square:
n2 - 2n - 3 = 0

{3 and-1}
{4 and -4}
{5 and -3}
{8 and -7}

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