Solve by Completing the Square

Solve by Completing the Square

9th - 12th Grade

9 Qs

quiz-placeholder

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Solve by Completing the Square

Solve by Completing the Square

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

CCSS
HSA-REI.B.4B, 8.EE.A.2

Standards-aligned

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for x by taking the Square Root:

(x+6)2 = 49

x = 7 and 12

x = ±7

x = 1 and -13

x = 43 and -55

Tags

CCSS.8.EE.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 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

3.

MULTIPLE CHOICE QUESTION

3 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}

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Complete the Square and solve the equation.
a2 - 2a - 35 = 0

1 ± √ 6
-7, 7
-5, 7
35, 37

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve by completing the square:

k2 − 12k + 20 = 0

k = 10 and 2

k = -6 and -6

k = 22 and -10

k = -2 and 6

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA-REI.B.4B

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Complete the Square and solve the equation.
m2 - 16m = -59

8
8 ± √ 5
 ± √ 13
-8 ± √ 5

Tags

CCSS.HSA-REI.B.4B

9.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve using square roots.
5b2 - 4 = 41

b = 9, b = -9
b = 3, b = -3
b = 8, b = -8
no solution