Question

Answer question below ignore purple marks

Answer 1

Explanation:

Given expression,

`4( - 5z + 2) + ( - 6)`

Opening parentheses and simplifying the expression:

`- 20z + 8 - 6`

`= - 20z + 2`

Checking the options to find which one is equivalent to this expression.

• Option A: 20z - 2 ≠ -20z + 2. To get 20z - 2 we need to multiply -20z + 2 with (-1) and hence the value changes. You can check it with any random value of x, the values will not be same.
• Option B: Open the parentheses, 2(-10z + 1) gives -20z + 2 which the same expression as ours. So option B is correct.

`\therefore` Option B) 2(-10z + 1) is the correct answer.

Answer 2

Answer: Option B, 2(-10z + 1)

Explanation:

First, we must simplify this given expression. Answer option B has already been simplified.

Given:

4(-5z + 2) + (-6)

Distribute:

-20z + 8 - 6

Subtract to combine like terms:

-20z + 2
Reflexive property, our answer is option B:

-20z + 2 = -20z + 2