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Solve Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Solve Completing the Square
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

8

8 ± √ 5

 ± √ 13

-8 ± √ 5

Tags

CCSS.HSA-REI.B.4B

2.

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

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

Morgan is solving this quadratic equations using Completing the Square. What is her next step?

(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

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

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you do to the "b" value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the formula of calculating the new C-term when "completing the square?"

Tags

CCSS.HSA-REI.B.4B

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