Question

The distance from your house to the park is represented by the expression "5x + 4 more than 2 − 2x." The distance from the park to the school is represented by the expression "2x − 2 less than 3x − 10." Find a single expression that represents the distance traveled if you pass through the park on your way to school.

Answer 1

The distance from the house to the school is equal to
`(4x-2)`

Explanation:

Let

A-----> the distance from house to the park

B----> the distance from the park to the school

C----> the distance from house to the school

so

`C=A+B`

we know that

`A=(2-2x)+(5x+4)`

`B=(3x-10)-(2x-2)`

so

Find the the value of C

`C=(2-2x)+(5x+4)+(3x-10)-(2x-2)`

`C=(4x-2)`

therefore

The distance from the house to the school is equal to
`(4x-2)`