1. Order of Operations 1-2

2. Objectives Evaluate numerical expressions by using the order of operations Evaluate algebraic expressions by using the order of orperations

3. Key Concepts Evaluate expressions inside grouping symbols Evaluate all powers/exponents Do all multiplication and/or division from left to right Do all additions and/or subtractions from left to right. PEMDAS

4. Examples Example 1 6 + 4 -2* 3 6 + 4 – 6 Multiply first 10 - 6 Addition 4 Subtraction Example 2 48 2 3 * 3 + 5 48 8 * 3 + 5 Clear Exponents 6 * 3 + 5 Divide 18 + 5 Multiply 23 Add

5. Grouping Symbols Example 1 (8 – 3) * 3(3 + 2) 5 * 3( 5) Clear grouping symbols 5 * 15 Multiply 75

6. Example 2 Clear innermost grouping symbols first!

7. Fraction Bar Evaluate the numerators Evaluate the denominators Simplify

8. Example 1 6 + 4 2 3 2 * 4 6 + 16 Evaluate numerator 9 * 4 22 36 Evaluate denominator 11 18 Simplify

9. Evaluate an Algebraic Expression Evaluate 2(x 2 -y) + z 2 if x = 4, y = 3, and z = 2 Substitute values for variables 2( 4 2 – 3) + 2 2 2( 16 -3) + 4 Clear exponents 2( 13) + 4 Clear parenthesis 26 + 4 Multiply 30 Add

10. Remember Clear exponents Clear inner most parenthesis Multiply or divide (in order) Add or subtract (in order)

11. Extra Practice http://www.phschool.com/atsch ool/academy123/english/academ y123_content/wl-book-demo/ph- 142s.htmlhttp://www.phschool.com/atsch ool/academy123/english/academ y123_content/wl-book-demo/ph- 142s.html