 # Writing Algebraic Expressions I can write expressions that include operations with numbers and variables.

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Writing Algebraic Expressions I can write expressions that include operations with numbers and variables.

Remember our vocabulary Variable: a letter that is used to represent a number. Variables are always lowercase letters. Algebraic Expression: a mathematical phrase that has at least one variable; it can contain numbers and operation symbols. It does NOT contain an = sign.

Translating words into math In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

Notes to add to foldable Typically, “a number” will indicate your variable. You can pick which variable you use in this case. –Example: four times a number Sometimes it will be given a name. –Examples: Subtract 5 from 2 times w OR Add 6 to a number y

How to write multiplication expressions: Multiplication should be written side-by-side with the number always in front of the variable. Examples: 4x 1.25n

How to write division expressions: Division expressions should be written in fractional form.

Foldable Examples 1.A number n increased by 4.5 2.7 times a number x, decreased by 13.

Add these to your foldable The difference of six and a number A number to the eighth power A number x less than fourteen

Add these to your foldable Twice a number decreased by one Twenty-two increased by the square of a number x Seventeen less than twice the number

A number decreased by twelve Thirty one less than a number x A cube of a number b fewer than 25

The quotient of a number and t A number squared less six One half the square of a number

Double the number The sum of a and b Two-thirds of a number Two divided by a number

Real-World Expressions Maria saves \$25 from her babysitting job each week. Write an algebraic expression for the total amount Maria saves after w, weeks. A pizza place charges \$10 per pizza, plus a \$2 delivery charge (no matter how many pizzas you order). Write an algebraic expression for the total cost of p, pizzas.

Write a phrase for each expression: 1)x + 5 2)8x – 1 3)7 – x

Addition Words Sum Increased by Plus Add More than Total Altogether In all Combined And Together Greater than

Subtraction Words Difference Less Subtract Decrease Reduce Remain Larger Minus Take away ***These words are written backwards from the way we say them.*** Fewer From Less than

Multiplication Words Product Times Total In all Twice or double Area Volume Multiple Of Triple Multiplied by

Division Words Quotient Divided Each Shared Average Ratio Per Equal parts Half Third Fourth Split Into Separate

Words for the Equal Sign Is Are Were Will be Equals Same as

Words for Exponents Squared Cubed To the nth power

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