Question

How do you solve `1/2 [(10-g) + (-6 +3g)]`?

Answer 1

`13/2g-3`

Explanation:

The structure of this question is to test that you understand the consequence of `+(-6+3g)`. Which is:

`color(brown)(+(-6+3g))color(blue)(->-6+3g)`

Think of it as: `(+1)(-6+3g)` where everything in side the brackets is multiplied by `(+1)`

'~~~~~~~~~~~~~~~~~ Something to think about ~~~~~~~

It would be a different matter if you had `-(-6+3g)`
Consider it as `(-1)(-6+3g)` where everything inside the brackets is multiplied by (-1) giving: `+6-3g`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Solving the question")`

Write as `1/2[10g-6+3g]`

`1/2[13g-6]`

`13/2g-3`