AnswersGrade 7 MathematicsFactoring Expressions

Factoring Expressions — Quiz Answers

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The factors of each term in the expression 8 x plus 12 x y are shown. 8 x : 1 , 2 , 4 , 8 , x 12 x y : 1 , 2 , 3 , 4 , 6 , 12 , x , y What is the greatest common factor of 8 x and 12 x y ?

A
4 x
B
2
C
8 x
D
2 x
2
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The greatest common factor of each term in the expression 60 A b minus 72 b is 12 b Which choice shows the expression written as a product?

A
12 b open paren 5 A minus 6 close paren
B
12 b open paren 48 A b minus 60 b close paren
C
12 b open paren 5 A b minus 6 b close paren
D
12 b open paren 48 A minus 60 close paren
3

An equilateral triangle has a perimeter of 12 x plus 18 units. Which expression can be used to show the length of one side of the triangle?

A
x times open paren 12 plus 18 close paren : Each side length is 12 plus 18 units.
B
3 times open paren 4 x plus 6 close paren : Each side length is 4 x plus 6 units.
C
6 times open paren 2 x plus 3 close paren : Each side length is 2 x plus 3 units.
D
2 times open paren 6 x plus 9 close paren : Each side length is 6 x plus 9 units.
4

What is the greatest common factor of the terms in the expression 36 A plus 54 A b minus 27 b ?

A
9
B
18 A b
C
18
D
9 A b
5

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?

A
16 y open paren 5 minus 4 close paren : Each side measures 5 minus 4 units.
B
4 y open paren 20 minus 16 close paren : Each side measures 20 minus 16 units.
C
4 times open paren 20 minus 16 y close paren : Each side measures 20 minus 16 y units.
D
16 times open paren 5 minus 4 y close paren : Each side measures 5 minus 4 y units.
6

What is the greatest common factor of the terms in the expression 21 x minus 18 x plus 28 x y ?

A
x
B
x y
C
3 x
D
3
7

Venita is factoring the expression 32 A b minus 8 b She determines the GCF and writes the factored expression as 8 b open paren 4 A minus 0 close paren Which best describes Venita’s error?

A
She incorrectly determined the GCF.
B
She divided each piece of the expression by different factors.
C
She subtracted the GCF from the second term in the expression instead of dividing.
D
She divided the GCF into the first term in the expression instead of subtracting.
8

What is the greatest common factor of the terms in the expression 7 thirds A b minus 7 sixths b ?

A
7 A b
B
1 third b
C
7 b
D
1 third A b
9

Which is a complete list of factors of each term in the expression 15 plus 20 x ?

A
15 : 3 , 5 20 x : 4 , 5 , x
B
15 : 1 , 3 , 5 20 x : 1 , 2 , 4 , 5 , 10 , x
C
15 : 1 , 3 , 5 , 15 20 x : 1 , 2 , 4 , 5 , 10 , 20
D
15 : 1 , 3 , 5 , 15 20 x : 1 , 2 , 4 , 5 , 10 , 20 , x
10

Which expression is equivalent to negative 28 x y plus 35 y ?

A
7 x open paren negative 4 x plus 5 y close paren
B
7 y open paren negative 4 x plus 5 close paren
C
7 y open paren negative 4 x y plus 5 y close paren
D
7 x open paren negative 4 y plus 5 y close paren

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