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completing the square

Authored by Brian Marino

Other

11th - 12th Grade

9 Questions

CCSS covered

Used 4+ times

completing the square
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square.
x2 + 6x + ____

x2 + 6x + 9
x2 + 6x - 36
x2 + 6x + 36
x2 + 6x - 9

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is one of the solutions to this equation?
(2x - 1)2 = 49

7
-7
-4
-3

Tags

CCSS.8.EE.A.2

3.

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

4.

MULTIPLE CHOICE QUESTION

3 mins • 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

5.

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

Tags

CCSS.HSA-REI.B.4B

6.

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}

Tags

CCSS.HSA-REI.B.4B

7.

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

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