1. 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

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

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

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

5. 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 = = *
7 x 2 = 14
3 x 8 = 11
3 x 8 = 11

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

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