Question

Half of a number increased by 4 is 30.

Answer 1

`(1)/(2)x+4=30`

52

Explanation:

First, write the equation out in the algebraic form. Half of a number is equivalent to a number times 1/2. Additionally, increasing a number by 4 is just adding 4. So the equation is
`(1)/(2)x+4=30`.

Then, use algebra to solve.

1) Subtract 4 from both sides

1/2x=26

2) Multiply both sides by 2, because that is the same as dividing by a fraction

x=52