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Completing the Square & Square Root to Solve

Authored by Brandi Barrow

Mathematics

10th Grade

Used 2+ times

Completing the Square & Square Root to Solve
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

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

4
2
8
20

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Complete the Square
x2 + 6x = 5

(x + 3)2 = 5
(x + 6)2 = 9
(x + 3)2 = 14
(x + 6)2 = 14

4.

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}

5.

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

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 by taking the Square Root:

16a2 - 9 = 0

a = ± 3/4

a = ± 4/3

a = ± 9/16

a = ± 16/9

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