Question

Which expression is an equivalent expression?

Answer 1

So, first you would distribute 2 and 1/4 which is 1/2z then do 2 times 8 which is 16 and have it as 1/2z-16 then take 1/4z and add it to 1/2 since your adding the two expressions. So whatever 1/4z plus 1/2z is then you subtract is to 16 minus 6, because 6 is in your other expression. It's kinda hard to explain but the answer is C haha Hope this helped! 

Answer 2

Answer:

The equivalent of the given expression: 2(¼x - 8) + (¼x + 6) is ¾x - 10

Step-by-step explanation:

Given.

Expression: 2(¼x - 8) + (¼x + 6)

To get an equivalent expression, we have to simplify the above expression

2(¼x - 8) + (¼x + 6)

First, open the brackets.

2 * ¼x - 2 * 8. + ¼x + 6

Perform multiplication operations

½x - 16 + ¼x + 6

Collect like terms

½x + ¼x - 16 + 6

Take LCM of ½x and ¼x (LCM is 4); then solve

(2x + x)/4 - 16 + 6.

Solve bracket

3x/4 - 16 + 6

¾x - 10

Hence, the equivalent of the given expression: 2(¼x - 8) + (¼x + 6) is ¾x - 10