Algebra 1 Review Chapter 1 Real Numbers, Algebra and Problem Solving (no exponents) Algebra 2 Name:____________________ Date:_______________

Types of Numbers (See Flowchart)

Common Properties of Algebra Commutative ( + and x) Associative (+ and x) Distributive

Examples with properties:

Examples - Factor: 1. ax – ay = x + 5y -10z =

Examples - Simplify: 1. 2x – (3x – 4) = 2. 5x – [ 2x – (3x + 2)] = 3. 8x – { 2x – 3[(x-4) – (x-2)]} =

Examples- Solving Equations 6y + 3 = y - 12

Examples- Solving Equations 3n – 8 – n = 7n – n

Scientific Notation: Must be ≥ 1, but < 10

Operations with Scientific Notation Keep the parts separate and adjust when finished: 1)Multiply/Divide numbers in front. 2)Use properties of exponents to evaluate powers of 10 3)Adjust final scientific notation: a) If you make the number smaller, you make the exponent ____________ (by the same number of decimal places) b) If you make the number bigger, you make exponent ____________ (by the same number of decimal places)

Examples

Assignment Ch 1 Rev/56-58/1-30o, 55-58