# Writing Expressions

Sum And Plus More than Increased by |
Difference Minus Less Fewer Decreased by "Turn around words"
Less than Fewer than From |
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Product Times Of Twice Triple |
Quotient Per Divided by Ratio |
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Times the sum Times the difference Plus the difference of |
Is Total The same as |

*Let's look at some examples of how to write expressions given a verbal description.*

- The product of a number and 8 8n

- The sum of a number and 12 n + 12

- The quotient of a number and 8 $\frac{n}{8}$

- 12 increased by a number n 12 + n

- 15 less than a number n - 15

- 4 times the sum of x and 3 4(x + 3)

- 12 miles per n gallons 12 miles/ n gallons

- n decreased by x n - x

- y doubled 2y

- 5 less y 5 - y

- 5 less than y y - 5

- 4 divided by y $\frac{4}{y}$

- 4 divided into y $\frac{y}{4}$

**A little harder...**

- five less than the product of 2 and x 2x - 5

- the difference of x and 3 divided by 6 $\frac{x-3}{6}$

- two less than one-fourth of y 1/4 y - 2

- fifteen decreased by the quotient of a number and 3 $15-\frac{n}{3}$

- the sum of twice a number and 5 2n + 5

- 12 more than the quotient of a number $12+\frac{n}{5}=-10$

and 5 is negative 10

**A little more challenging...**

- Jim's age is 3 times Sarah's age J = 3S

- The length is 5 more than the width L = 5 + w

- The amount of money you will earn if you make $7 per hour for x hours A = $7x

- One third of a number increased by seven is five less than twice the number 1/3n +7 = 2n - 5

A few last tips...

Memorize the most common words for each operation. Always look for "turn around" and (parenthesis) words. When writing an expression for a word problem use variables that are representative of the problem. For example, lett

*h*represent hours.

Related Links:Math algebra Dependent and Independent Variables Measures of Variability : Mean Absolute Deviation |

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