WRITING ALGEBRAIC EXPRESSIONS

An algebraic expression is an expression that contains one or more variables and may also contain operation symbols, such as + or -

A variable is a letter or symbol used to represent an unknown or unspecified number. The value of a variable may change.

A constant is a specific number whose value does not change.

In algebraic expressions, multiplication and division are usually written without the symbols × and ÷

Write 3 × n as 3n, 3 · n, or n · 3

Write 3 ÷ n as  n/3

Some different ways to describe expressions with words are shown below.

Example 1 : 

Write the given phrase as an algebraic expression.

The sum of 7 and x

Answer : 

7 + x

Example 2 : 

Write the given phrase as an algebraic expression.

The quotient of z and 3

Answer : 

z/3

Example 3 : 

Write the given algebraic expression as a phrase.

The product of 11 and x

Answer : 

11x

Example 4 : 

Write the given algebraic expression as a phrase.

y less than 8

Answer : 

8 - y

Example 5 : 

Write the given phrase as an algebraic expression.

The sum of 5 times a number and 8

Answer : 

Let 'x' be the number.

Then,

5x + 8

Example 6 : 

Write the given phrase as an algebraic expression.

7 less than 4 times a number

Answer : 

Let 'x' be the number.

4x - 7

Example 7 : 

Write the given phrase as an algebraic expression.

One fifth of sum of 3 times a number and 9

Answer : 

Let 'x' be the number.

(3x + 9) / 5

Example 8 : 

Write the given algebraic expression as a phrase.

5 times of a number is decreased by 8

Answer : 

Let 'x' be the number.

Then,

5x - 8

Example 9 : 

Write the given algebraic expression as a phrase.

One seventh of 3 less than 4 times a number

Answer : 

Let 'x' be the number.

Then,

(4x - 3) / 7

Example 10 : 

Write the given algebraic expression as a phrase.

One fourth of 3 times the difference between a number and 6

Answer : 

Let 'x' be the number.

Then,

3(x - 6) / 4

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