Question

Which expressions are equivalent to -56z+28−56z+28minus, 56, z, plus, 28?

Answer 1

Answer: B and D

Step-by-step explanation: I got it right on Khan Academy!

Answer 2

Answer:

B) $(-1.4z+0.7)\times 40$

D) $(8z-4)(-7)$

Step-by-step explanation:

Given expression:

$-56z+28$

To find the equivalent expression.

We will evaluate each expression in the given choices to check the equivalence.

A) $\frac{1}{2}(-28x+14)$

Using distribution.

⇒ $\frac{-28z}{2}+\frac{14}{2}$

⇒ $-14z+7$

B) $(-1.4z+0.7)\times 40$

Using distribution.

⇒ $(-1.4z\times 40)+(0.7\times 40)$

⇒ $-56z+28$

C) $(14-7z).(-4)$

Using distribution.

⇒ $(14.(-4))+(-7z.(-4))$

⇒ $-56+28z$

D) $(8z-4)(-7)$

Using distribution.

⇒ $(8z(-7))+(-4(-7))$

⇒ $-56z+28$

E) $-2(-28z-14)$

Using distribution.

⇒ $(-2(-28z))+(-2(-14))$

⇒ $56z+28$

From the choices evaluated, we find that the expressions in choices B and D are equivalent