AnswersSS-Math 7Using Properties to Simplify Expressions

Using Properties to Simplify Expressions Answers

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1
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Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply.

A
x + x + 6 – 7 + x
B
2x + 2 + x
C
3 – x + 2x – 4 + 2x
D
x – 1
E
x + 1
2
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Check all that you included in your response.

A
Show the answer for 6x – 4 – x.
B
Combine like terms.
C
Find that the expressions are not equivalent.
3

Which expression is not equivalent to 3x – 2?

A
x + x – 1 – 1 + x
B
2x + 2 + x
C
3 – x + 2x – 5 + 2x
D
4x – 4 – x + 2
4

Which expression is equivalent to –3 – 3x – 1 + x?

A
2x – 4
B
–2x + 4
C
–2x – 4
D
4 – 2x
5

Which of the following equations, in its simplest form, will be equivalent to 3x + 2 + (–5)?

A
2 + 3x + 5
B
x – 1 + x – 2 + x
C
–3 – 3x – 1 + x
D
3 – 3x
6

Which expression is equivalent to 3x – 5?

A
2x – 4 – 1 + x
B
–x + x + x – 1 – 1 – 1 – 1 – 1
C
–5 – 3x
D
3x + 5
7

Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.

Answer:

6x − x = 5x. The new expression is now 5x − 4. This is not equivalent to 7x − 4.

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Using Properties to Simplify Expressions Answers…