AnswersMath 7 B M12 2526 S2Factoring Expressions

Factoring Expressions Answers

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1
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What is the greatest common factor of the terms in the expression ?

Question illustration
A
3
B
3x
C
x
D
xy
2
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Which expression is equivalent to ?

Question illustration
A
7 y (Negative 4 x y + 5 y)
Option A
B
7 x (negative 4 x + 5 y)
Option B
C
7 x (negative 4 y + 5 y)
Option C
D
7 y (Negative 4 x + 5)
Option D
3

Tawanna is asked to find the GCF of each term in the expression . Her work is shown below. Factors of 2ab: 1, 2, a, and bFactors of 8b: 1, 2, 4, 8, and bGCF: Which best describes the error in Tawanna’s solution?

Question illustration
A
Tawanna factored one or both pieces of the expression incorrectly.
B
Tawanna did not include each factor in the GCF.
C
Tawanna should have used each common factor once.
D
Tawanna included only one of the variables in her solution.
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 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
6

The factors of each term in the expression 8x + 12xy are shown below. 8x: 1, 2, 4, 8, x12xy: 1, 2, 3, 4, 6, 12, x, yWhat is the greatest common factor of 8x and 12xy?

A
2
B
2x
C
4x
D
8x
7

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.
8

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.
9

Which expression is equivalent to ?

Question illustration
A
4 b (6 minus 8 a)
Option A
B
4 b (6 b minus 8 a b)
Option B
C
2 b (12 minus 17 a)
Option C
D
2 b (12 minus 17 a b)
Option D
10

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

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