Unit Test — Unit test Answers

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Which phrase describes the algebraic expression 6x?

A
the quotient of 6 and a number
B
the difference of 6 and a number
C
the product of 6 and a number
D
the sum of 6 and a number
3

Which statements about the factors of the terms in the expression are true? Select three options.

Question illustration
A
The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.
B
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
C
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
D
The GCF of the expression is 6xy.
E
The GCF of the expression is 6.
4

What will be the result of substituting 2 for x in both expressions below?

Question illustration
A
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
B
Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
C
One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
D
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
5

Which operation means “split evenly”?

A
addition
B
subtraction
C
multiplication
D
division
7

The greatest common factor of each term in the expression is 4x. Which choice shows the expression written as a product?

Question illustration
A
4 x (5 x minus 4 x y)
Option A
B
4 x (5 minus 4 y)
Option B
C
4 x (5 minus 16 x y)
Option C
D
4 x (5 x minus 16 x y)
Option D
8

Which shows all the like terms in the expression?

Question illustration
A
–3 and 1; 4x and –3
B
–3 and 1; 4x and 7x
C
4x and 1; 7x and –3
D
4x and –3; 1 and 7x
9

Which algebraic expression represents the phrase “fourteen increased by a number”?

A
14 + y
B
14y
C
StartFraction 14 over y EndFraction
Option C
D
14 minus y
Option D
10

Which property is shown in the problem below?

Question illustration
A
the associative property
B
the commutative property
C
the distributive property
D
the division property
11

What is the difference ?

Question illustration
A
x minus 4
Option A
B
x minus 2
Option B
C
x + 2
Option C
D
x + 4
Option D
12

Which expression is equivalent to (18x + 9k) + (2x + 6k)?

A
16 x + 3 k
Option A
B
20 x + 15 k
Option B
C
20 x + 16 k
Option C
D
36 x + 54 k
Option D
15

Which property is used in the problem below?

Question illustration
A
the associative property
B
the commutative property
C
the distributive property
D
the additive identity property
18

Which phrase describes the algebraic expression ?

Question illustration
A
the product of 5 and 2 more than a number
B
the quotient of 5 and 2
C
5 times the difference of a number and 2
D
2 less than 5 times a number
19

Justin is evaluating the expression , when is 7.9. What was Justin’s error?

Question illustration
A
Justin should have multiplied 12.5 and 7.9 first.
B
Justin should have added 12.5 and 7.9 first.
C
Justin should have multiplied 3.8 and 7.9 first.
D
Justin should have added 3.8 and 7.9 first.
20

Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the store and bought 3 more shirts that cost $19.99 each and 4 more pairs of shorts that cost $14.99 each. Which expression represents the total amount Marissa spent?

A
StartFraction x + 3 over 19.99 EndFraction + StartFraction y + 4 over 14.99 EndFraction
Option A
B
StartFraction 3 x over 19.99 EndFraction + StartFraction 4 y over 14.99 EndFraction
Option B
C
19.99 (x + 3) + 14.99 (y + 4)
Option C
D
(3 x) 19.99 + (4 y) 14.99
Option D

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