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WARM UP
MULTIPLE CHOICE1. How many miles does Joyce travel if she drives
for 6 hours at an average speed of 60 miles per hour?
a) 66 miles b) 180 miles c) 360 miles d) 420 miles2. The lengths of the sides of a triangle are 4
centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle?
f) 7cm g) 16cm h) 19cm i) 28cm
3
WARM UP
MULTIPLE CHOICE1. How many miles does Joyce travel if she drives
for 6 hours at an average speed of 60 miles per hour?
a) 66 miles b) 180 miles c) 360 miles d) 420 miles2. The lengths of the sides of a triangle are 4
centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle?
f) 7cm g) 16cm h) 19cm i) 28cm
2
WARM UP
MULTIPLE CHOICE1. How many miles does Joyce travel if she drives
for 6 hours at an average speed of 60 miles per hour?
a) 66 miles b) 180 miles c) 360 miles d) 420 miles2. The lengths of the sides of a triangle are 4
centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle?
f) 7cm g) 16cm h) 19cm i) 28cm
1
MULTIPLE CHOICE
1. How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour?
a) 66 miles b) 180 miles c) 360 miles d) 420 miles2. The lengths of the sides of a triangle are 4
centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle?
f) 7cm g) 16cm h) 19cm i) 28cm
WARM UP 0
Required Class Supplies
PaperPencil (no pen)Scientific Calculator (preferably Texas Instruments TI-30x)*you will need these supplies everyday!
1.3 Order of Operations
GOAL: Use the established order of operations.KEY WORDS: •Order of Operations•Left-to-Right Rule
1.3 Order of OperationsORDER OF OPERATIONSIn arithmetic and algebra there is an order of operations to evaluate an expression involving more than one operation.
Following the Order of Operations1st do operations within grouping symbols2nd evaluate powers3rd multiplication and division from LEFT TO RIGHT!4th addition and subtraction from LEFT TO RIGHT!
1.3 Order of OperationsORDER OF OPERATIONSYou may already know the order of operations from elementary school. Only you probably learned them from different devices.
or
EXAMPLE 1: Evaluate Without Grouping SymbolsEvaluate the expression 3x2 + 1 when x = 4. Use the order of operations.
Solution
3x2 + 1 = 3 ∙ 42 + 1 Substitute 4 for x
= 3 16 + 1∙ Evaluate power
= 48 + 1 Multiply 3 times 16
= 49 Add
1.3 Order of Operations
1.3 Order of Operations
CHECKPOINTEvaluate the variable expression when x = 2. Use the order of operations.
1. 2x2 + 5
2. 8 - x2
3. 6 + 3x2
4. 20 – 4x2
LEFT-TO-RIGHT RULE Some expressions have operations that have the same priority, such as multiplication and division or addition and subtraction. The left-to-right rule states that when operations have the same priority, you perform them in order from left to right.
LEFT RIGHT
1.3 Order of Operations
D’uh!
EXAMPLE 3: Use the Left-to-Right RuleEvaluate the expression using the left-to-right rule.
a. 24 – 8 – 6
b. 15 2 ÷ 6∙
c. 16 + 4 2 - 3∙
1.3 Order of Operations
