1. 1.4 Exponents, Order of Operations, Variable Expression and Equations
Base Exponent/Power
Ex. Evaluate (3/4)3
Note ≠ (2)(3) = 6
Note = 8
– 23 = – (2)(2)(2) = – – 24 = – (2)(2)(2)(2) = – 8
(– 2)3 = (– 2)(– 2)(– 2) = – (– 2)4 = (– 2) (– 2)(– 2) (– 2) = 8

2. Order of Operations
Parentheses
Exponents
Division
Multiply
Add
Subtract
Note: If there are only adding and subtracting, then simplify from left to right.

3. Ex. Simplify the expression. 3[4 + 2(10 – 1)] ÷ 2

4. Translating Phrases to Math Expressions
Add
Subtract
Multiply
Divide
Equality
Inequality
Sum
Difference
Product
Quotient
Equals
At least ≥
Plus
Minus
Times
Gives
At most ≤
Added to
Subtract from
Into
Is, was, should be
More than
Less than
Twice
Ratio
Yields
Increase by
Decrease by Of
Divided by
Amount to
Total
Less
Represents, is the same as

5. Ex. Write each sentence as an equation or inequality.
The quotient of 15 and a number is 4.
Three subtracted from 12 is a number.
Four times a number, added to 17, is not equal to 21.
Triple a number is less than 48.

6. HW 1.4 pg. 33
# 19 – 43 odd, 77 – 83 odd