1. Ch 1.2 Objective: To simplify expressions using the order of operations.

2. Order of Operations (PEMDAS) The Order of Operations are rules that explain how to evaluate mathematical expressions. Parenthesis Exponents Multiplication & Division Addition & Subtraction

3. Example This is WRONG! 1 * 2 + 3 * 4 = 2 + 3 * 4 = 5 * 4 = 20 Multiply – Add – Multiply NO! This is CORRECT! 1 * 2 + 3 * 4 = 2 + 12 = 14 Multiply – Multiply - Add YES!

4. Order of Operations Parenthesis Exponents 6 + 5(6) 6 + 30 = 36 2 + 3 25 2 + 75 = 77 Multiply / Divide 8 4 = 32 Add / Subtract 10 - 3 + 8 7 + 8 = 15 1) 6 + 5(8 - 2) 2) 3) 4)

5. Simplify the following. 1) 2) 3) 4) (4 + 18)2 - 10 (22)2 - 10 44 - 10 = 34 24 - 2[18 6] 24 - 2[3] 24 - 6 = 18 8 - 9 + 5 -1 + 5 4 8 + 20 4 28 4 =7 Examples

6. Classwork Simplify each expression below. 1) 3  8 + 4  5 2) 3) 4) 5) 6)

7. 24 2 2(4 + 8) Evaluate the expression if a = 2, b = 4, and c = 8 5) ab - c 6) 3a(c - b) 7) 8) (2)(4) - 8 8 - 8 0 3(2)(8 - 4) 3(2)(4) 24 4 + 3(2) 2 2 4 + 3(4) 2 4 + 6 = 10 2 2(12) 2 == 12 4 + 12 2 Examples

8. Classwork 7) 2|a| + |b| 8) 9) 10) 11) 12) Evaluate the expression if a = 5, b = 3, and c = 2