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AssignmentMultiple Select

Using Properties to Simplify Expressions

Question 1 • SS-Math 7

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

Answer
A
x + x + 6 – 7 + x
B
2x + 2 + x
C
3 – x + 2x – 4 + 2x
D
x – 1
E
x + 1

Explanation

Combine like terms in the original expression: −x + 2x + 2x = 3x, and 6 − 7 = −1, so it simplifies to 3x − 1. Choice A also simplifies to 3x − 1. In choice C, 3 − 4 = −1 and −x + 2x + 2x = 3x, so it is equivalent too.

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