Factoring and Completing the Square
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a quadratic equation by factoring?
Divide both sides by a constant
Multiply both sides by a constant
Add a constant to both sides
Set the equation to zero
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring the equation x^2 + x - 42 = 0, what are the two numbers that multiply to -42 and add to 1?
6 and 7
-7 and 6
7 and -6
-6 and -7
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct factorization of the equation x^2 + x - 42 = 0?
(x - 7)(x + 6)
(x - 6)(x + 7)
(x + 7)(x - 6)
(x + 6)(x - 7)
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of completing the square in a quadratic equation?
To simplify the equation
To transform it into a perfect square trinomial
To eliminate the constant term
To factor the equation
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x^2 - 8x = 5, what value should be added to both sides to complete the square?
8
16
2
4
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of factoring the equation x^2 + 6x - 16 = 0?
(x + 4)(x - 4)
(x + 6)(x - 6)
(x - 8)(x + 2)
(x + 8)(x - 2)
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a step in completing the square for the equation x^2 + 4x = 6?
Divide both sides by 2
Add 4 to both sides
Subtract 4 from both sides
Multiply both sides by 2
Tags
CCSS.HSA-REI.B.4B
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