WARM UP 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 miles 2.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 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 miles 2.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 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 miles 2.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 miles 2.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 Paper Pencil (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 Operations ORDER OF OPERATIONS In arithmetic and algebra there is an order of operations to evaluate an expression involving more than one operation. Following the Order of Operations 1 st do operations within grouping symbols 2 nd evaluate powers 3 rd multiplication and division from LEFT TO RIGHT! 4 th addition and subtraction from LEFT TO RIGHT!

1.3 Order of Operations ORDER OF OPERATIONS You may already know the order of operations from elementary school. Only you probably learned them from different devices. or

EXAMPLE 1: Evaluate Without Grouping Symbols Evaluate the expression 3x when x = 4. Use the order of operations. Solution 3x = 3 ∙ Substitute 4 for x = 3 ∙ Evaluate power = Multiply 3 times 16 = 49 Add 1.3 Order of Operations

CHECKPOINT Evaluate the variable expression when x = 2. Use the order of operations. 1.2x x x x x – 4x 4.20 – 4x 2

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 Rule Evaluate the expression using the left-to-right rule. a.24 – 8 – 6 b.15 ∙ 2 ÷ 6 c ∙ Order of Operations