Objective- To simplify numerical expressions and to evaluate variable expressions. Equations Inequalities 2 + 3 2 + 3 = 5 9 - 5 > 3 5(8) - 4 Numerical 4 + 2(3) = 10 X - 4 = 13 X + 7 6y - 4 < 8 Variable 8 - 3y 11= 3 + 2m

Simplify the expressions. 1) 6 + 5(8 - 2) 2) 2 + 3 5 3) 16 2 4 4) 10 - 3 + 2 4 2

Order of Operations 1) 6 + 5(8 - 2) Parenthesis 2) 2 + 3 5 Exponents 6 + 5(6) 6 + 30 = 36 2) 2 + 3 5 2 Exponents 2 + 3 25 2 + 75 = 77 3) 16 2 4 Multiply / Divide 8 4 = 32 4) 10 - 3 + 2 4 Add / Subtract 10 - 3 + 8 7 + 8 = 15

Evaluate the expression if a = 3, b = 4, and c= 5 1) 2ab - c 2 2) 2a(b - c) 2

Fact: Scientific calculators and computers follow the order of operations. Four function calculators do not. 4 - Function Calculator Scientific Calculator Computer 3 + 4 x 2 = 3 + 4 x 2 = 3 + 4 2 = * 7 x 2 = 14 3 x 8 = 11 3 x 8 = 11

Symbolic Differences in Calculators and Computers Scientific Calculator Computer (BASIC) Expression + + + - - - x x * / 2 y 4 4 x 2 4 ^ 2

Key Sequences and Computer Input Calculator Key Sequence BASIC computer Expression 3(8 - 2) 4 3 6 - 2 2 6 + 8 3 - 1