AnswersPre-Algebra - MA3119 A Distance LearningEquivalent Expressions

Equivalent Expressions Answers

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Which property was applied to create this equivalent expression?

Question illustration
A
the commutative property only
B
the associative property only
C
the distributive property only
D
both the commutative property and the associative property
2
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Which best proves why the expressions and must be equivalent expressions?

Question illustration
A
When , both expressions have a value of 30.
Option A
B
When , both expressions have a value of 42.
Option B
C
When , both expressions have a value of 18, and when , both expressions have a value of 60.
Option C
D
When , both expressions have a value of 15, and when , both expressions have a value of 39.
Option D
3

Maria determined that these expressions are equivalent expressions using the values of and . Which statements are true? Check all that apply. and

Question illustration
A
The expressions are only equivalent when evaluated with odd values.
B
The expressions are only equivalent for and .
Option B
C
The expressions should have been evaluated with one odd value and one even value.
D
The expressions have equivalent values when .
Option D
E
When , the first expression has a value of 3 and the second expression has a value of 4.
Option E
F
The expressions have equivalent values for any value of x.
G
When , both expressions have a value of 33.
Option G
4

Which expressions are equivalent when and ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
5

James determined that these two expressions were equivalent expressions using the values of and . Which statements are true? Check all that apply. and

Question illustration
A
When , both expressions have a value of 18.
Option A
B
The expressions are only equivalent for and .
Option B
C
The expressions are only equivalent when evaluated with even values.
D
The expressions have equivalent values for any value of x.
E
The expressions should have been evaluated with one odd value and one even value.
F
When , the first expression has a value of 4 and the second expression has a value of 5.
Option F
G
The expressions have equivalent values if .
Option G
6

Maggie used the commutative property to write as the equivalent expression . Did Maggie apply the commutative property correctly? Why or why not?

Question illustration
A
Yes, the terms with variables should be written first.
B
Yes, there are the same number of terms.
C
No, some of the terms changed signs.
D
No, there should be two terms in parentheses.
7

Which expression is equivalent to ?

Question illustration
A
11 x
Option A
B
11 + x
Option B
C
11 minus x
Option C
D
Negative x + 11
Option D
8

Vance used the associative property to find the equivalent expression of . His work is shown below. Did Vance apply the associative property correctly? Why or why not?

Question illustration
A
Yes, the terms with variables should be written first.
B
Yes, the terms can be regrouped and still be equivalent.
C
No, the order of the terms should have been changed.
D
No, the addition symbol was dropped in the second expression.
9

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
9 x + 6 + 9
Option A
B
8.9 + 6.2 + 8.7 x
Option B
C
8.9 x + 8.7 + 6.2
Option C
D
8.7 + 8.9 x + 6.2
Option D
E
6.2 + 8.7 + 8.9
Option E
F
6.2 + 8.7 + 8.9 x
Option F
G
8.9 + 6.2 x + 8.7
Option G
10

Which is the last operation performed when evaluating for ?

Question illustration
A
addition
B
multiplication
C
subtraction
D
applying the exponent

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