Question

I need this answer as soon as possible, please... Thank you!!!

Answer 1

Hello from MrBillDoesMath!

Answer:

See Discussion below.

Discussion:

4(6+2x) = 24 + 8x  is our reference expression

Choice 1:  24 + 8x   - this equals our reference expression.

                Answer: Always equivalent

Choice 2:  2(12+4x) = 24 + 8x    - this equals our reference expression

               Answer: Always equivalent

Choice 3:   4(2x + 6x) = 4(8x) = 32x.

                   When does 32x =  24 + 8x   ( our reference expression) ?                              

                   When does 32x - 8x = 24?   (subtract 8x from both sides)

                   When does 24x  = 24?  When x = 1 !

                   Answer: Sometimes equivalent

Choice 4:  4(6) + 2x = 24 + 2x.

                   When does 24 + 2x  =  24 + 8x   ( our reference expression)  

                   When does 2x  =  8x  ? (subtract 24 from both sides)

                   When does 0 =  6x  ? (subtract 2x from both sides). When x = 0

                   Answer: Sometimes equivalent

Choice 5:  24 + 8 = 32.

                   When does 32  =  24 + 8x   ( our reference expression) ?

                   When does 8  =   8x   (subtract 24 from both sides)? When x = 1

                   Answer: Sometimes equivalent

Choice 6: 4(2x+6) = 8x + 24   - this equals our reference expression.

                Answer: Always equivalent

Thank you,

MrB

Answer 2

Answer:

24+8x (correct)

2(12+4x) (correct because if we are to combine it will be 24+8x)

4(2x+6x) (incorrect because if we are to combine it will be 8x+24x)

4(6)+2x (incorrect because if we are to combine it will be 24+2)

24+8 incorrect because there is no x value

4(2x+6) correct if we are to combine it will be 8x+24