In this video, you will learn how to write algebraic expressions for word phrases, by analyzing the

language used.

algebraic expression – a mathematical phrase that contains a combination of numbers, variables, and operational symbols (+, , x, )

Variable – symbols (letters) than can represent one or more numbers.

variable – letter that can represent one or more numbers

The Commutative Property of Addition – Changing the order of the addends does not change the sum.

increased byplus

more thansum

added to

Words that suggest addition:

the sum of c cherries and 8 cherries

Some examples involving addition:

fewer thanless than

difference betweendecreased by

ORDER MATTERS!

Words that suggest subtraction:

fewer thanless than

difference betweendecreased by

ORDER MATTERS!

Words that suggest subtraction:

a temperature of d degrees decreased by 6 degrees

Some examples involving subtraction:

a temperature of d degrees decreased by 6 degrees

d - 6

Some examples involving subtraction:

nine cards fewer than c cards

the product oftimes

multiplied by

ORDER MATTERS!

Words that suggest multiplication:

the product of 12 and b books

ORDER MATTERS!

Some examples involving multiplication:

quotient ofdivided by

divided amongshared between

OORDS!

Words that suggest division:

quotient ofdivided by

divided amongshared between

ORDER MATTERS!

Words that suggest division:

a dinner bill of d dollars divided among five friends

Some examples involving division:

the quotient of p and 5

Some examples involving division:

A review of clue words:

ADDITION:increased by

plusmore than

sumadded to

SUBTRACTION:fewer than less than

difference betweendecreased by

MULTIPLICATION:product of

timesmultiplied by

DIVISION:quotient ofdivided by

divided amongshared between

20 hours of work divided equally among w workers

Some examples involving all operations:

6 less than d dollars

Some examples involving all operations:

12 more than g glasses

Some examples involving all operations:

In this video, you learned how to write algebraic expressions for word phrases, by analyzing the

language used.