AnswersPre-Algebra - MA3119 A Distance LearningExpressions with More Than One Operation

Equivalent Expressions Answers

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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
2
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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
3

Randy is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 20. When , he correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 7, so the expressions are not equivalent.
B
The value of the second expression is 12, so the expressions are not equivalent.
C
The value of the second expression is 14, so the expressions are equivalent.
D
The value of the second expression is 20, so the expressions are equivalent.
4

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
5

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
6

Which expression is equivalent to ?

Question illustration
A
7 x + y
Option A
B
7 x minus y
Option B
C
x (7 y)
Option C
D
StartFraction x y Over 7 EndFraction
Option D
8

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
9

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
1 + 3 + 8 d + 5 + 7
Option A
B
8 d + one-third + StartFraction 5 Over 7 EndFraction
Option B
C
StartFraction 1 Over 7 EndFraction + 8 d + StartFraction 5 Over 3 EndFraction
Option C
D
One-third + StartFraction 5 Over 7 EndFraction + 8 d
Option D
E
3 + 8 d + 7
Option E
F
8 d + one-third + StartFraction 7 Over 5 EndFraction
Option F
G
StartFraction 5 Over 7 EndFraction + one-third + 8 d
Option G

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