Order of Operations

Does the order in which operations are done make any difference? Ex. Which is the correct answer when simplifying x 12? 6+3x12 =9x12 =108 OR 6+3x12 =6+36 =42

What Rule Do These Examples Seem to Follow?

PEMDAS (Please Excuse My Dear Aunt Sally) P arenthesis E xponents M ultiplication/ D ivision A ddition/ S ubtraction

Now you try, using the rule… A: 16

A: 15

A: 28

A: 16

A: -96

A: -1

A: -15

A = 9

Grouping Symbols Grouping symbols such as parentheses ( ), brackets [ ], and braces are used to clarify or change the order of operations. They indicate that the expression within the grouping symbol is to be evaluated first.

A: 31

A: 60

A: 36

Fraction Bar A fraction bar is another type of grouping symbol. It indicates that the numerator and denominator should each be treated as a single value.

A: 2

A: 1

You Try….. A: 14 A: 51 A: 60 A: 26 A: 5

Evaluating Algebraic Expressions First replace the variables with their values. Then, find the value of the numerical expressions using the order of operations.

A: 42

A: 30

Evaluate the following if g = 4, h = 6, j = 8, and k = 12. A: 30 A: 160 A: 1

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5. A: 9 A: 1

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

Use Algebraic Expressions Draw diagrams when possible. Write an expression that represents what the question is asking you to find.

Order of Operations Using Signed Numbers a) 12 + (-7)(2) Find the value of y for x= -4 b) y= -17-3x Find the value of y for x=4 c) y= 7-2x Find the value of y for x=-2 d) y= 7-3x = 12 + (-14) = -2 = -17 – 3(-4) = = -5 = 7 – 2(4) = 7 – 8 = -1 = 7 – 3(-2) = 7 +6 = 13