Question

Which of the following is equal to (2x/3 - 7) + 7

A. (2x - 7) + 21

B. 2x - 21/3

C. 3x/2

D. 2x/3

@texaschic101

Answer 1

\(\left(\frac{2x}{3} - 7\right) + 7 = \frac{2x}{3} + \left(-7 + 7\right)\)

Answer 2

@sorour you can't multiply both sides by 3 if there's no equal sign.

Answer 3

It's only one expression.

Answer 4

I need an explanation I do not know how to do this I suck at fractions

Answer 5

You have to shift the parentheses.

Answer 6

I'm confused

Answer 7

Associative property:

(a + b) + c = a + (b + c)

Answer 8

@Hero yeah ur right

Answer 9

I missed that....I was trying to multiply by 3 as well....good one Hero

Answer 10

(2x/3 (-7 + 7) gives you what sirryan ? Is that right Hero ?

Answer 11

You have to include the plus between otherwise you make it look like distributive property

Answer 12

2x/3 + (-7 + 7)

Answer 13

gotcha :)

Answer 14

sirryan, what happens to the 7's ?

Answer 15

It's definitely a tricky one.

Answer 16

They crossout

Answer 17

yes, but you were smart enough to figure it out

Answer 18

they do cross out, leaving you with what ?

Answer 19

2x/3

Answer 20

yes

Answer 21

medal goes to Hero :)

Answer 22

So I'm confused on my answer

Answer 23

answer D

Answer 24

your 7's cancel out leaving you with just 2x/3

Answer 25

It is more clearer to see if you did this:

(2x/3 - 7) + 7
= (-7 + 2x/3) + 7
= 7 + (-7 + 2x/3)

Then you would be able to simply shift parentheses
= (7 - 7) + 2x/3
= 0 + 2x/3
= 2x/3