Page 2 - Algebra

Table of Contents
1.
2.
Algebra Introduction..............................................................................................................................3
1.1. Algebraic Expression ...........................................................................................................3
1.2. Algebraic Equation ..............................................................................................................4
1.3. Solving Algebraic Expression................................................................................................4
Linear Equations ..................................................................................................................................10
2.1. Writing Equations..............................................................................................................10
2.2. Solving an Equation ...........................................................................................................10
2.3. Equation With No Solution ................................................................................................11
2.4. Solving an Equation For a Specific Variable ........................................................................12
2.5. Graphing Linear Equations.................................................................................................18
2.6. Point-slope Form of an Equation........................................................................................20
2.7. Parallel and Perpendicular Lines ........................................................................................25
2.8. System of Equations ..........................................................................................................32
2.9. Linear Equation Word Problems ........................................................................................45
Functions..............................................................................................................................................53
3.1. Functions ..........................................................................................................................53
3.2. Relation, Domain and Range..............................................................................................54
3.3. Types of Functions.............................................................................................................56
3.4. Graphing Functions ...........................................................................................................64
Linear Inequalities................................................................................................................................68
4.1. Solving Inequalities ...........................................................................................................69
4.2. Absolute Inequality ...........................................................................................................70
4.3. Properties of Inequalities ..................................................................................................77
4.4. Graphing Inequalities in Two Variables ..............................................................................77
4.5. Solving System of Inequalities ...........................................................................................80
Exponents ............................................................................................................................................92
5.1. Laws of Exponents.............................................................................................................92
5.2. Rational Exponents ...........................................................................................................96
5.3. Exponential Equation ........................................................................................................96
5.4. Exponential Functions and Graphing Exponents ............................................................... 101
5.5. Graphing Exponential Functions ...................................................................................... 102
Quadratic Equation............................................................................................................................109
6.1. Factoring & Finding Roots of a Quadratic Equation...........................................................111
3.
4.
5.
6.
Page 1 of 177
Algebra I & II