1. Symbols and Expressions
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2. I. Algebraic Expressions
Vocabulary:
Variable – letter that represents one or more numbers
Algebraic expression – an expression that contains at least 1 variable
Evaluate – substituting a number for each variable and calculate
Natural numbers – numbers used for counting (1, 2, 3, and so on)
Whole numbers – natural numbers and zero (0, 1, 2,and so on)
Rational numbers – set of numbers that include natural and whole numbers

3. II. Order of Operations
The order in which we solve all math expressions
Please Parentheses (and all other grouping symbols)
Excuse - Exponents
My Dear - Multiplication, Division (left to right)
Aunt Sally - Addition, Subtraction (left to right)

4. 7  2 + [7 + 3(5 – 2)] ÷ 4  2 7  2 + [7 + 3(3)] ÷ 4  2 7  2 + [7 + 9] ÷ 4  2 7  ÷ 4  ÷ 4  

5. Examples:
1. 36 ÷ (4 + 5) – (12 + 3) ÷  1

6. III. Evaluating Substitute the given number for the variables listed
You cannot evaluate without being given the value
Once you substitute the values into the problem, solve using the order of operations
t t for t = 4
7 + 4 11

7. Examples:
1. 14 – (b + 5) for b = 3 2. s(t – 4) for s = 4, t = 8 3. x + 5 for x = 7 2  3