Question

Select all the expressions that are equivalent to 16x - 12 -24x + 4.

Answer 1

To find an expression equivalent to 16x - 12 - 24x + 4, we combine like terms: 16x with -24x yields -8x and -12 with +4 yields -8, resulting in the simplified expression -8x - 8.

Step-by-step explanation:

To find expressions equivalent to 16x - 12 - 24x + 4, we need to perform algebraic simplification. We start by combining like terms which, in this case, are the x-terms and the constant terms separately. Here are the steps to simplify:

1. Combine the x-terms: 16x and -24x to get -8x.
2. Combine the constant terms: -12 and 4 to get -8.
3. The simplified expression is thus -8x - 8.

So, -8x - 8 is the only expression equivalent to the given one when simplified.

To check if an expression is equivalent, we follow the rule of combining like terms and ensuring that we eliminate terms wherever possible to simplify the algebra.

Answer 2

Expressions equivalent to 16x - 12 -24x + 4.

-8x - 8 , - (8x + 8) , 8 (-x -1) , -8 (x + 1)

Step-by-step explanation:

16x -12 -24x + 4

Arranging like terms, 16x - 24x - 12 + 4 = -8x - 8

Taking common minus, = - (8x + 8)

Taking common 8, = 8 (-x -1)

Taking common -8, = -8 (x +1)