Question

Simplify the expression7 - 4(¾x - ¼)

Answer 1

The expression to simplify is:

`7-4((3)/(4)x-(1)/(4))`

We use the distributive property, shown below, to simplify further:

Distributive Property

`a(b\pm c)=ab\pm ac`

So, we have:

`\begin{gathered} 7-4((3)/(4)x-(1)/(4)) \\ =7-4((3)/(4)x)+4((1)/(4)) \\ =7-3x+1 \end{gathered}`

We can now add like terms, just adding up the numbers we have:

`\begin{gathered} 7-3x+1 \\ =8-3x \end{gathered}`