Question

Which expressions are equivalent to -56z+28?

choose 2 correct answers:
a: 1/2 x (28z + 14)
b: (-1.4z + 0.7) x 40
c: (14 -7z) x (-4)
d: (8z - 4) (-7)
e: -2(-28z -14)

Answer 1

Options b ((-1.4z + 0.7) x 40) and d ((8z - 4) (-7)) are the expressions equivalent to -56z+28, as both of them simplify to the original expression.

Step-by-step explanation:

To determine which expressions are equivalent to -56z+28, we must simplify or expand each option to see if it matches our original expression. Let's evaluate each option:

• a: 1/2 x (28z + 14) simplifies to 14z + 7, which is not equal to -56z+28.
• b: (-1.4z + 0.7) x 40 simplifies to -56z + 28, which is equal to our original expression.
• c: (14 -7z) x (-4) simplifies to 56z - 56, which is not equal to -56z+28.
• d: (8z - 4) (-7) simplifies to -56z + 28, which is equal to our original expression.
• e: -2(-28z -14) simplifies to 56z + 28, which is not equal to -56z+28.

Therefore, the correct answers are options b and d, which are equivalent to -56z + 28.