Question

Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answer 1

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Explanation:

17x - 8x + 2 = (17x - 8x) +2

Combine like terms.

= 9x + 2 Like terms have same variable of same powers.

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Answer 2

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Explanation:

17x - 8x + 2 = (17x - 8x) +2 Combine like terms.

= 9x + 2

Like terms have same variable of same powers.