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Writing Expressions

To write an expression, we often have to interpret a written phrase. For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.

Some examples of common phrases and corresponding expressions that involve addition are:

Phrase	Expression
4 more than some number	x + 4
a number increased by 10	y + 10
8 plus some number	t + 8
the sum of a number and 12	w + 12

Some examples of common phrases and corresponding expressions that involve subtraction are:

Phrase	Expression
4 less than some number	x – 4
a number decreased by 10	y – 10
8 minus some number	8 – t
the difference between a number and 12	w – 12

Some examples of common phrases and corresponding expressions that involve multiplication are:

Phrase	Expression
4 times some number	4x
twice a number	2y
one-third of some number
the product of a number and 12	12w

Some examples of common phrases and corresponding expressions that involve division are:

Phrase	Expression
the quotient of 4 and some number
a number divided by 2
the ratio of 8 and some number
the quotient of a number and 12

Some examples of common phrases and corresponding expressions that involve two operations are:

Phrase	Expression
6 more than 5 times a number	5x + 6
4 times the sum of a number and 7	4(y + 7)
5 less than the product of 3 and a number	3w – 5
twice the difference between a number and 9	2(z – 9)

Videos

How Do You Write Mathematical Expressions from Word Problems?
There are so many words that you come across when you're working on algebra problems, and these words are really code for very specific mathematical symbols

Write Algebraic Expressions for Situations

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