**Translate from words to mathematical expressions.**

Producing a mathematical model of a real situation often involves translating

verbal statements into mathematical statements. Although the problems

we will be working with are simple ones, the methods we use will also apply

to more difficult problems later.

**Verbal Expression (where ***x ***and ***y ***are numbers)**

**Addition**

The sum of a number and 7 = x + 7

6 more than a number = x + 6

3 plus a number = 3 + x

24 added to a number = x + 24

A number increased by 5 = x + 5

The sum of two numbers = x + y

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**Subtraction**

2 less than a number = x – 2

12 minus a number = 12 – x

A number decreased by 12 = x – 12

A number subtracted from 10 = 10 – x

The difference between two numbers = x – y

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**Multiplication**

16 times a number = 16x

A number multiplied by 6 = 6x

of a number (used with

fractions and percent) = x

Twice (2 times) a number = 2x

The product of two numbers = xy

**Division**

The quotient of 8 and a number = (x ≠ 0)

A number divided by 13 =

The ratio of two numbers or the

quotient of two numbers = (y ≠0)

* *