Completing the Square and Vertex Form
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
Used 2+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is completing the square?
Process of factoring a polynomial.
Method used to solve linear equations.
Procedure for finding the vertex of a parabola.
Technique used to convert a quadratic equation into a perfect square trinomial.
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the vertex of the quadratic equation y = x^2 + 4x + 3?
(-1, 2)
(-2, 1)
(0, 3)
(3, 4)
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the square.
x2 + 6x + ____
x2 + 6x + 9
x2 + 6x - 36
x2 + 6x + 36
x2 + 6x - 9
Tags
CCSS.HSA-REI.B.4B
5.
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
6.
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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the equation by completing the square and then finding the roots.
x2+ 6x - 4 = 36
x = -7, 7
x = 4, -10
x = -4 +- √7
x = 10, -4
Tags
CCSS.HSA-REI.B.4B
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