Translate Algebraic Expressions

The difference of a number and 7

• 7 − x

• x + 7

• x/7

• x − 7

4 less than x

• 4 − x

• x − 4

• 4x

• −4x

What does "difference" mean?

• add
• subtract 
• multiply
• divide

What does "quotient" mean?

• add
• subtract 
• multiply
• divide

m plus the product of 6 and n

• m + 6n

• m − 6 + n

• 6m + n

• m + 6 + n

the quotient of a number and twelve

• x + 12

• x - 12

• 12/x

• x/12

Translate the following:

The sum of r and 9

•  $9r$  

•  $r+9$  

•  $9-r$  

•  $\frac{r}{9}$  

Answer explanation

When you see the word 'sum' that means to add the expression.

Translate the following:
h divided by 8

•  $h-8$  

•  $\frac{h}{8}$  

•  $h+8$  

•  $8h$  

Answer explanation

The order of division problems matter. Make sure to read the questions carefully.

Translate the following:
product of 5 and r

•  $5+r$  

•  $5r$  

•  $5-r$  

•  $\frac{r}{5}$  

Answer explanation

You do not use the multiplication sign with variables. 

Write an algebraic expression for:
 35 decreased by a number

• 35+n
• 35-n
• n-35