Introduction How long does a car traveling at 70 mph take to travel 88 miles, in hours? How many terms are in the expression: 36x + 27xy – 18y – 9? 5 word prediction. Guess the meanings of the following words: Variable, expression, base, constant, & factor. 1.257 hours 4

Skills Check No notes Kilo Hecto Deka BASIC Deci Centi Milli

Definitions Identifying Parts

Algebraic Expression Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… Examples:

Variable Symbols or letters used to represent an unknown Examples: 

Term How many items are being added, subtracted, divided Examples: 3 4

Like Terms Same variable raised to the same power Examples:

Coefficient The number in front of a variable Examples: 123 9 1

Exponent 3 12 4 The number up in the air next to a base The number of times you multiply something times itself Examples: 3 12 4

Base 2 x y What the exponent sits on The part that has been raised to a power Examples: 2 x y

Constant -42 5 -8 A number that has no variable It can be positive or negative Examples: -42 5 -8

Factors 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) Items that are being multiplied together Can be numbers, variables, parenthesis Examples: 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9)

Order of Operations -18 Simplify inside parenthesis Take care of exponents In order from left to right, multiplication or division In order from left to right, addition or subtraction Examples: -18

Translations

Key Words A variable is a symbol used to represent a number in an expression or an equation. An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

ADDITION Sum Plus Add More Than Increased

SUBTRACTION Difference Minus Decreased Less Than (swaps the order)

DIVISION Quotient Half Divide by

MULTIPLICATION Product Twice Double Triple

EXPONENTS Square Cubed To the power of Raised to a power

Translate The sum of a number and 10 x + 10

Translate Fourteen decreased by a number p Seven less than a number t

Translate The product of 9 and x squared 9x2

Translate 9 less than g to the fourth power g4 – 9

Translate 8 + 3x Eight increased by three times x

You Try 1 The sum of nine and a number x The product of 9 and a number n Thirty-two divided by a number y

You Try 2 The difference of 28 and a number One-third the square root of a number Fifteen less than twice a number Seven divided by twice a number Five more than twice a number Three times a number decreased by 11 The product of 5 and the cube of a number increased by the difference of 6 and x Half the sum of x and y decreased by one-third of y

Example Anna Kate has $1000 to distribute to her employees as a bonus. How much money will each employee get? Write an expression for this situation. Kael’s electric company charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day. Aaliyah makes $100 a day as a math tutor. Write an expression for the amount she makes in d days.

Writing Algebraic Expressions Worksheet HOMEWORK WORKSHEET Writing Algebraic Expressions Worksheet

Write the following phrases as an algebraic expression. Pop Quiz Write the following phrases as an algebraic expression. Thirty divided by seven times a number Bre earns $30 a day working part time at a supermarket. Write an algebraic expression to represent the amount of money she will earn in d days. The product of nine and a number, decreased by six Three times a number, increased by seventeen