Back to: Algebra 1

**What is an algebraic expression?**

An algebraic is an expression in mathematics which consists of variables, numbers, and the various operations. Example *2x + 3y*, *x*^{2}*– y** ^{2}*.

Example: Tommy has 12 marbles and 10 stickers. He divides the into 3 equal parts and puts each in a bag. He divides the stickers into 2 equal parts and puts them each into a container. Now he has 3 bags of marbles and 2 containers of stickers. Writing this as an algebraic expression, we have, **3b +2c**.

Example: Write the following phrases as algebraic expressions.

**Phrase**

two cats and one dog

a number *x *plus 5

a number *y* decreased by 6

a number *x*, increased by 10

15 more than a number *x*

*y *less than 20

the product of 3 and a number *x* plus 4

the quotient of 12 and a number *y *minus 6

**Algebraic Expression**

2c + d

x + 5

*y* – 6

*x *+ 10

*x *+ 15

20 – *y*

3*x* + 4

(12 ÷ *y*) – 6