Question

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

Choose 2 answers:
Choose 2 answers:

(Choice A)
A
\dfrac{1}{2}\cdot(-28z+14)
2
1
​
⋅(−28z+14)start fraction, 1, divided by, 2, end fraction, dot, left parenthesis, minus, 28, z, plus, 14, right parenthesis

(Choice B)
B
(-1.4z+0.7)\times40(−1.4z+0.7)×40left parenthesis, minus, 1, point, 4, z, plus, 0, point, 7, right parenthesis, times, 40

(Choice C)
C
(14-7z)\cdot(-4)(14−7z)⋅(−4)left parenthesis, 14, minus, 7, z, right parenthesis, dot, left parenthesis, minus, 4, right parenthesis

(Choice D)
D
(8z-4)(-7)(8z−4)(−7)left parenthesis, 8, z, minus, 4, right parenthesis, left parenthesis, minus, 7, right parenthesis

(Choice E)
E
-2(-28z-14)−2(−28z−14)

Answer 1

B)
`(-1.4z+0.7)* 40`

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

Explanation:

Given expression:

`-56z+28`

To find the equivalent expression.

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

A)
`(1)/(2)(-28x+14)`

Using distribution.

⇒
`(-28z)/(2)+(14)/(2)`

⇒
`-14z+7`

B)
`(-1.4z+0.7)* 40`

Using distribution.

⇒
`(-1.4z* 40)+(0.7* 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