
Completing the Square
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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14 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the Square
x2 + 6x = 5
(x + 3)2 = 5
(x + 6)2 = 9
(x + 3)2 = 14
(x + 6)2 = 14
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the first step to complete the square for this quadratic equation?
2y2 + 20y + 18 = 0
factor the LEFT
divide by 2
subtract 18 from both sides
add a blank/box to both sides
Tags
CCSS.HSA-REI.B.4B
3.
REORDER QUESTION
1 min • 1 pt
Give the reason for each step in the following solution of an equation by using the
Square Root Property.
Factor the perfect square trinomial.
Solve each equation.
Rewrite as two equations.
Square Root Property
Tags
CCSS.HSA-REI.B.4B
4.
REORDER QUESTION
1 min • 1 pt
What are the steps to solving this by completing the square?
Rewrite the left hand side as a (binomial)2
Take the square root of both sides of the equation
Subtract 5 from both sides of the equation
Subtract 21 from both sides of the equation
Add 25 to both sides of the equation
Tags
CCSS.HSA-REI.B.4B
5.
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
x = -1 + i√5
x = -1 ± i√5
x = -1 - i√5
x = 2 + i√5
Tags
CCSS.HSA-REI.B.4B
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