OTCQ What is 7 – 3 * 2 =

Aim 1-2 How do we define and the apply the order we perform operations in algebra? NY AN 6 Hwk Chapter 1-2 problems check for understanding. Mr. Reidy’s Website: rreidymath.wikispaces.com

SWBAT define the correct order of operations in algebra. SWBAT apply the correct order of operations to evaluate expressions and equations. Objectives

Evaluate Is your answer 33 or 19? What is the correct order of operations in algebra?

Remember the phrase “Please Excuse My Dear Aunt Sally” or PEMDAS. ORDER OF OPERATIONS 1. Parentheses - ( ) or [ ] 2. Exponents or Powers 3. Multiply and Divide (from left to right) 4. Add and Subtract (from left to right)

Once again, evaluate  3 and use the order of operations. = (Multiply.) = 19 (Add.)

Example #1 14 ÷ = (Divide l/r.) = (Multiply.) = 1(Subtract.)

Example #2 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5(parentheses) = 3(100) ÷ 5(exponents) = 300 ÷ 5(multiplication) = 60(division)

Example # (6 + 1) 4 = (7) 4(parentheses) = (7) 4(exponents) = (7) 4 (Multiply l/r.) = (Multiply l/r.) = (Subtract l/r.) = (Add l/r.) = 130(Add.)

Which of the following represents · 5 in simplified form? 1.-3, ,996

Simplify (10 - 3)

Simplify 24 – 6 · 4 ÷

1.substitute the given numbers for each variable. 2.use order of operations to solve. Evaluating a Variable Expression To evaluate a variable expression:

Example # 4 n + (13 - n)  5 for n = 8 = 8 + (13 - 8)  5 (Substitute.) =  5 (parentheses) = (Divide l/r.) = 9 (Add l/r.)

Example # 5 8y - 3x 2 + 2n for x = 5, y = 2, n =3 = 8    3 (Substitute.) = 8    3 (exponents) =   3 (Multiply l/r.) =  3 (Multiply l/r.) = (Multiply l/r.) = (Subtract l/r.) = -53 (Add l/r.)

What is the value of -10 – 4x if x = -13?

What is the value of 5k 3 if k = -4?

What is the value of if n = -8, m = 4, and t = 2 ?

NY Regents Examples Evaluate the expressions below: – 10 2 (2) – (-100) = 3 – 5 – 6(-2) + 5 – 10(3 2 ) = - 4 – =