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Uli wants to write the phrase “the difference of seven and a number squared” as an algebraic expression. She wrote out several expressions in the table. Which expression correctly represents the phrase?Expression NumberExpression1234 Expression number [BLANK]

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Arianna correctly simplified an expression. When she substituted into the simplified expression, the value was –4. Which could be Arianna’s original expression?

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A
One-sixth (negative 3 x minus 24)
Option A
B
One-sixth (negative 5 x minus 8)
Option B
C
One-sixth (negative 10 x minus 4)
Option C
D
One-sixth (negative 12 x minus 16)
Option D
23

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence’s height in inches, which expression can she use to find the answer?

A
68.7 minus t
Option A
B
StartFraction t Over 68.7 EndFraction
Option B
C
StartFraction 68.7 Over t EndFraction
Option C
D
t minus 68.7
Option D
24

Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?

A
They are equivalent if the two values are the same.
B
They are equivalent if the value for 5(3x + 6) is greater.
C
They are equivalent if the value for 15x + 30 is greater.
D
They are equivalent if one value is negative and the other value is positive.
25

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

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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.

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