
Solve Quadratics Using Completing the Square
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered

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18 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 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
2.
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
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
{3 and-1}
{4 and -4}
{5 and -3}
{8 and -7}
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSA-REI.B.4B
6.
MATH RESPONSE QUESTION
1 min • 1 pt
Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).
Mathematical Equivalence
ON
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSA-REI.B.4B
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