AnswersMath 7 B M12 2526 S2Factoring Expressions

Factoring Expressions Answers

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1
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Maya is asked to find the GCF of each term in the expression . Her work is shown below. Factors of 32xy: 1, 2, 4, 8, 16, 32, x, yFactors of 18y: 1, 2, 3, 6, 9, 18, yGCF: The GCF is .Which best describes the accuracy of Maya’s solution?

Question illustration
A
Maya’s solution is accurate.
B
Maya factored 32xy incorrectly.
C
Maya factored 18y incorrectly.
D
Maya factored correctly, but did not find the correct GCF.
2
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What is the greatest common factor of the terms in the expression ?

Question illustration
A
One-third b
Option A
B
One-third a b
Option B
C
7 b
Option C
D
7 a b
Option D
3

Monique is factoring the expression . Her work is shown below. Factors of 4x: 1, 2, 4, xFactors of 16xy: 1, 2, 4, 8, 16, x, yGCF: 4xFactored expression: Which best describes the accuracy of Monique’s solution?

Question illustration
A
Monique’s solution is accurate.
B
Monique made an error when listing the factors, which affected the GCF and the factored expression.
C
Monique made an error when determining the GCF from her list of factors.
D
Monique made an error when writing the factored expression.
4

Jill is factoring the expression . Her work is shown below. Factors of : 1, 13, x, yFactors of 52y: 1, 2, 26, 52, yGCF: yFactored expression: Which best describes the accuracy of Jill’s solution?

Question illustration
A
Jill’s solution is accurate.
B
Jill omitted a factor pair, which affected the GCF and factored expression.
C
Jill made an error when determining the GCF from her list of factors.
D
Jill made an error when writing the factored expression.
5

The perimeter of a square is units. Which expression can be used to show the side length of one side of the square?

Question illustration
A
: Each side measures units.
Option A
B
: Each side measures units.
Option B
C
: Each side measures units.
Option C
D
: Each side measures units.
Option D
6

Serena is writing an expression that is equivalent to 12ab – 6b, but she has not completed it. __?__ What is missing from the expression?

Question illustration
A
6b
B
6ab
C
6
D
ab
7

An equilateral triangle has a perimeter of units. Which expression can be used to show the length of one side of the triangle?

Question illustration
A
: Each side length is units.
Option A
B
: Each side length is units.
Option B
C
: Each side length is units.
Option C
D
: Each side length is units.
Option D
8

Which is a complete list of factors of each term in the expression ?

Question illustration
A
15: 1, 3, 5, 1520x: 1, 2, 4, 5, 10, 20, x
B
15: 1, 3, 5, 1520x: 1, 2, 4, 5, 10, 20
C
15: 3, 520x: 4, 5, x
D
15: 1, 3, 520x: 1, 2, 4, 5, 10, x
9

The greatest common factor of each term in the expression is 12b. Which choice shows the expression written as a product?

Question illustration
A
12 b (5 a b minus 6 b)
Option A
B
12 b (5 a minus 6)
Option B
C
12 b (48 a minus 60)
Option C
D
12 b (48 a b minus 60 b)
Option D
10

Venita is factoring the expression . She determines the GCF and writes the factored expression as . Which best describes Venita’s error?

Question illustration
A
She incorrectly determined the GCF.
B
She subtracted the GCF from the second term in the expression instead of dividing.
C
She divided the GCF into the first term in the expression instead of subtracting.
D
She divided each piece of the expression by different factors.

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