Expressions and the Order of Operations

PS Algebra I

a combination of numbers and/or variables that use the mathematical operations (does not have an equal sign (=) attached to it)

two types: numerical and variable

examples of expressions:

What is an algebraic “expression” ?

when simplifying an expression, this is the procedure you must use:

1) simplify any grouping symbols found within the expression (grouping symbols: ( ), [ ], { })2) simplify any exponents (powers) and roots3) simplify any multiplication and division in order from left to right4) simplify any addition and subtraction in order from left to right

Order of Operations

PEMDAS!-”P”: parentheses (grouping symbols)-”E”: exponents (powers)/roots-”M”: multiplication-”D”: division-”A”: addition-”S”: subtraction

“Please excuse my dear Aunt Sally”

Any others?

Easy way to remember this…

Simplify the following numerical expressions by using the order of operations:

A)

B)

C)

D)

Let’s practice!

E)

F)

G)

Let’s Practice!

multiplication : 6 X 4 (regular multiplication sign) 6(4) or (6)(4) (pushed together- nothing between them)

6 ∙ 4 (raised dot)

division : 10 5 (regular division sign)

(fraction bar)

Ways to denote multiplication and division in Algebra…