### Home > MC2 > Chapter 5 > Lesson 5.2.2 > Problem5-56

5-56.

Write the following expressions in two ways, one with parentheses and one without. For example, $4(x-3)$ can be written $4x-12$.

1. A number reduced by $3$, then multiplied by $2$.

Reducing by $3$ means you first need to subtract $3$ from a number. We will call this unknown number $x$. Then you will multiply that value by $2$.

A number reduced by $3$: $(x − 3)$

Then multiplied by $2$: $2(x − 3)$

Use the Distributive Property to multiply every term inside the parentheses by $2$.

$2x − 6$

2. A number increased by $7$, then multiplied by $5$.

See part (a).

3. Ten times a number, then add twenty.

Ten times a number is $10x$. Then add twenty to that to get: $10x + 20$

Since $10$ is a factor of both terms, we can factor out a $10$ to get the following expression: $10(x + 2)$