Question

Determine which expression is equivalent to 3/4 - x(1/2-5/8)+(-3/8x)

1. -3/4x
2. 1/2x
3. 3/4 - 1/4x
4. 1/8 - 7/8x

Answer 1

3

Explanation:

distribute the parenthesis noting that + (- ) ≡ -

`(3)/(4)` -
`(1)/(2)` x +
`(5)/(8)` x -
`(3)/(8)` x

=
`(3)/(4)` -
`(1)/(2)` x +
`(2)/(8)` x

=
`(3)/(4)` -
`(2)/(4)` x +
`(1)/(4)` x

=
`(3)/(4)` -
`(1)/(4)` x → 3