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

Equivalent Expressions Answers

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1
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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
11

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.
12

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
g + (h + j) + k
Option A
B
(g + h) + j k
Option B
C
(g + h) + j + k
Option C
D
g + (h j) + k
Option D
E
g h + j k
Option E
F
g (h + j) k
Option F
G
g + h (j + k)
Option G
13

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
14

Which expression is equivalent to ?

Question illustration
A
(x + y) + z
Option A
B
2 z (x y)
Option B
C
x (y z)
Option C
D
x (y + z)
Option D

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