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

Question

A. 1/2x + 11/2

B. 1/2x + 7/2

c. 5/2x + 11/2

D. 5/2x + 7/2

Answer 1

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

Step One: Distribute the negative into the (x-1), changing the sign of each term.

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

Step Two: Distribute the 3/2 into the (3x+3). Remember to multiply both terms by 3/2

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

Step Three: To make the numbers easier to deal with, convert the fractions to decimals (9/2 = 4.5)

-3x - x + 1 + 4.5x + 4.5

Step Four: Combine Like Terms (YOU CAN DO THIS BIT BY BIT THROUGHOUT PREVIOUS STEPS).

0.5x + 5.5

Step Five: Now that you have found your equation, convert back to fractions and you'll have the answer.

1/2x + 11/2

Answer Choice 'A'

Answer 2

You need to simplify the given expression. I'll do it one step at a time

1. -3x-x+1+3/2(3x+3)
2. -3x-x+1+9x/2+9/2
3. (-3-1+9/2)x+1+9/2
4. (9/2-4)x+11/2
5. 1/2x+11/2
6. So the answer is A

Answer 3

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

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

-4x + 1 +(9/2)x + 9/2 =

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

(1/2)x + 11/2

The correct answer is A