Question

Which expression is equivalent to -3x - (x-1) + 3/2(3x +3)?

A. 1/2x + 11/2

B. 1/2x + 7/2

c. 5/2x + 11/2

D. 5/2x + 7/2

Answer 1

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Answer 2

The answer to your question is letter A

Explanation:

Expression

- 3x - (x - 1) + 3/2(3x + 3)

1.- Expand

- 3x - x + 1 + 3/2(3x) + 3/2(3)

2.- Simplify

- 3x - x + 1 + 9/2 x + 9/2

3.- Associate like terms

(-3x - x + 9/2x) + (1 + 9/2)

4.- Simplify like terms

(-4x + 9/2x) + (2 + 9)/2

(-8x + 9x)/2 + 11/2

1/2x + 11/2