Order of Operations
Does the order in which operations are done make any difference?
Ex. Which is the correct answer when simplifying 6 + 3 x 12?
6+3x12
=9x12
=108
OR
6+3x12
=6+36
=42
What Rule Do These Examples Seem to Follow?
20348
92612
28256
PEMDAS (Please Excuse My Dear Aunt Sally)
ParenthesisExponentsMultiplication/Division Addition/Subtraction
Now you try, using the rule…
3210 A: 16
2618 A: 15
458 A: 28
2648 A: 16
8
10
5
1
8
5
8
7:A
8758 A: -96
23 523 A: -1
2220210 x 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 OperationsUsing 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) = -17 +12 = -5
= 7 – 2(4) = 7 – 8 = -1
= 7 – 3(-2) = 7 +6 = 13
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