
Quadratic Solutions by Completing the Square
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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14 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
Tags
CCSS.HSA-REI.B.4B
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
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When do you use the plus or minus symbol?
±
After taking the square root of both sides
After adding the square to both sides
After taking half of b
After setting the equation equal to zero
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is one of the solutions to this equation?
(2x - 1)2 = 49
7
-7
-4
-3
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the following quadratic expression in completed square form... x2 + 4x + 10
(x + 4)2 + 6
(x + 2)2 + 6
(x + 4)2 - 6
(x + 2)2 - 6
Tags
CCSS.HSA-REI.B.4B
6.
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
7.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Solve the following quadratics equation by completing the square...
x2 + 4x - 1 = 0
x = -2 ± √5
x = -5 ± √2
x = 2 ± √5
x = -5 ± √5
Tags
CCSS.HSA-REI.B.4B
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