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

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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.

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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.

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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

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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

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

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

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

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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

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

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

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

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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.

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

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

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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

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

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

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

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Words for Exponents Squared Cubed To the nth power

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