The Order of Operations Do Now- Solve: Objective: You will be able evaluate expressions using the order of operations.

We use the acronym PEMDAS to help us remember the order operations P Parenthesis or other grouping symbols (Brackets, Braces, and fractions bars) E Exponents M or D Multiplication OR Division, whichever comes first from left to right A or S Addition OR subtractions, whichever comes first from left to right

Example 1:

Example 2:

Example 3:

Example 4: Evaluate:

Try: 1) 2) 3) 4)

Homework: 1-2 Worksheet #6-16 Evens Only Show all work on a separate sheet of paper

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Expressions with Fraction Bars A fraction bar is a grouping symbol and tells us to DIVIDE 1)Simplify then entire numerator (top of fraction) using PEMDAS 2) Simplify the entire denominator (bottom of fraction) using PEMDAS 3) Divide Example 5: Evaluate:

Try: 5) 6)

Homework 1-2 Worksheet (says page 10 on bottom) 7-15 ALL Show all work on a separate sheet of paper

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Important Vocabulary Variable: A letter that represents a number or a set of numbers. Algebraic expression: one or more algebraic terms in a phrase that may include variables, constants, and operating symbols (+, -, x, and ÷). An expression does NOT have an equal sign, so you CANNOT SOLVE an expression. You can evaluate an expression if you are given the variable(s) values or you may be able to simplify an expression. Examples: Algebraic Equation: Includes variables, operations, and an equal sign.

Evaluating Algebraic Expressions 1) Substitute values 2) Simplify using the order of operations Example 1 : Evaluate if x = 8 and y = 2.

Example 2: Evaluate for m= -5, n = 6, and p= - 3 b) c) d)

Try: 3) Evaluate each expression for x = 6, y =8, and z = 3. a) b) c) d)

Using Formulas Area of a trapezoid = Find the area of the trapezoid below 16 in 10 in 52 in

16-22 all Homework 1-2 WS (Says page 10 on bottom) Show all work on a separate sheet of paper