22.6k views
4 votes
Which expressions are equivalent to the expression −6x + 8? Select all that apply.

1. −2(3x + 4)
2. 2(−3x + 4)
3. 5(x + 1) − 11x + 3
4. x + 2 − 7x + 6
5. 8 − 6x

1 Answer

4 votes
The only one that doesn't work is number one. All you have to do is simplify the expressions and see if they are the same as -6x+8, because that is in its simplest term. 1.) -2(3x+4) You multiply the numbers outside the parentheses into it. -2×(3x) plus -2×4 =-6x-8 which isn't equal to 6x+8 2.)2(-3x)+2(4)= -6x+8= 3.)5(x)+5(1) is the first half which equals 5x+5. 5x+5-11x+3. Now combine like terms. Like terms are terms that have the same value of x. So 5x and -11x are like and 5 and 3 are like. 5+3+5x-11x 8-6x= -6x+8 4.)Again, combine like terms. X-7x+2+6 -6x+8= 5.)The problem is just rearranged, the 6x is still negative and the 8 is still positive. Hopefully this helped.
User Dulon
by
9.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories