Question

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.

Answer 1

`- 8x + 120y - 56`

Explanation:

evaluate the power calculate

`8(1 x + 3 * 5y - 7`

the coefficient of 1 doest have to be written but keep the sign

`8( - 1x + 15y - 7`

remove the parentheses

Answer 2

The correct options are b.
`\(- 80x + 28y - 56\)` and d.
`\(4(- 20x + 7y - 14)\).`

How did we arrive at this assertion?

To find the equivalent expressions for
`\(8(-10x + 3.5y - 7)\)`, let's distribute the 8 to each term inside the parentheses:

`\[ 8(-10x + 3.5y - 7) = -80x + 28y - 56 \]`

Now, let's compare this result with the given options:

a.
`\(- 80x + 24.5y - 56\)` - Incorrect (the coefficient for y is incorrect)

b.
`\(- 80x + 28y - 56\)` - Correct

c.
`\(80x + 28y + 56\)` - Incorrect (the signs are incorrect)

d.
`\(4(- 20x + 7y - 14)\)` - correct (distributing the 4 gives -80x + 28y - 56)

e.
`\(- 4(- 20x + 7y - 14)\)`- Correct

So, the correct options are b.
`\(- 80x + 28y - 56\)` and d.
`\(4(- 20x + 7y - 14)\).`

Complete question:

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options. a. - 80x + 24.5y - 56

b. - 80x + 28y - 56

c. 80x + 28y + 56

d. 4(- 20x + 7y - 14)

e. - 4(- 20x + 7y - 14)