Question

Gloria says the two expressions 1/4 (12x + 24) -9x and -6(x + 1) are equivalent. is she correct? Explain how you know

Answer 1

No

Explanation:

Lets simplify both expressions:

We will start with Gloria's first expression:

`1/4 (12x + 24) -9x`

Apply distributive property:

`(3x + 6) -9x`

Combine like terms, we are then left with:

`6-6x`

Now lets simplify the second expression

`-6(x+1)`

Apply distributive property

`-6x-6`

Rearrange:

`-6-6x`

Now we can see that the two equations are not equal, as the first is 12 greater than the second. Another way we could have tested this was plugging in a value for x and then solving.