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Completing the Square

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Completing the Square
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation by completing the square: 7x2 - 14x - 56 = 0

{ -6 , 12}

{ -2 , 4}

{ 4 }

3∓√10

Tags

CCSS.HSA-REI.B.4B

2.

REORDER QUESTION

1 min • 1 pt

Put the steps for solving 3x2 - 36x + 81 = 0 in the correct order.

take the square root of both sides and solve for x

divide all terms by 3

subtract 81 from both sides

factor the left side to become (x - 6)2

and combine the numbers on the right

divide -12 by 2, square it, and add it to both sides

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When solving

3x2 + 36x + 48 = 0,

what value do you add to both sides to

complete the square?

48

6

12

36

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation by completing the square: 4x2 + 8x - 16 = 0

{ -2 , 4}

{ -1 , 2}

{ 2 }

2∓√3

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the missing value "c" to create a perfect square trinomial:
x2 – 6x  + ___ 

9

18

3

6

Tags

CCSS.HSA-REI.B.4B

6.

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square...


x2 + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

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