Question

Which expressions are equivalent to the one below? Select all that apply: -6(2x - 1/3)

a) 2 - 12x
b) -12x + 2
c) -12x + 18
d) 12x - 2

Answer 1

The expression equivalent to -6(2x - 1/3) is -12x + 2, which is only represented by option b) in the choices provided.

Step-by-step explanation:

The expressions equivalent to -6(2x - 1/3) are obtained by distributing the -6 inside the parentheses.

-6 × 2x = -12x

-6 × (-1/3) = 2

Therefore, the equivalent expression is -12x + 2, which matches option b).

Option c) -12x + 18 is not equivalent because -6 × (-1/3) is not 18.

Option d) 12x - 2 is not equivalent because the negative sign is not distributed correctly.