Question

I have 5 math questions for algebraic expressions, the first one i 1/4 (8x + 16), the second is 1/3 (3p + 12), The third is 1/2 (14k - 10), the 4th is 1/8 (8a - 24), and the last one is 1/2 (4p + 1)

Answer 1

See explanation

Explanation:

The first function is
`(1)/(4)(8x+16)`

You probably want to expand so we need to apply the distributive property:

This implies that:

`(1)/(4)(8x+16)=(1)/(4)*8x+(1)/(4)*16`

`\implies (1)/(4)(8x+16)=2x+4`

The second function is
`(1)/(3)(3p+12)`.

We again apply the distributive property to get:

`(1)/(3)(3p+12)=(1)/(3)*3p+(1)/(3)*12`

`\implies (1)/(3)(3p+12)=p+4`

The third one is
`(1)/(2)(14k-10)`

We expand using the distributive property to get:

`(1)/(2)(14k-10)=(1)/(2)*14k-(1)/(2)*10`

`\implies (1)/(2)(14k-10)=7k-5`

The fourth is
`(1)/(8)(8a-24)`

We expand to get:

`(1)/(8)(8a-24) =(1)/(8)*8a-(1)/(8)*24`

`(1)/(8)(8a-24) =a-3`

The fifth one is
`(1)/(2)(4p+1)`

Expand to get:

`(1)/(2)(4p+1)=(1)/(2)*4p+(1)/(2)*1`

`(1)/(2)(4p+1)=2p+(1)/(2)`