Algebra 1B Key Points

Chapter 1 - Connections to Algebra

1.1 Variables in Algebra
1.2 Exponents and Powers
1.3 Order of Operations
1.4 Equations and Inequalities
1.5 Translating Words into Mathematical Symbols
1.6 A Problem Solving Plan Using Models
1.7 Tables and Graphs
1.8 An Introduction to Functions                             

Chapter 2 - Properties of Real Numbers

2.1 The Real Number Line                                   
2.2 Absolute Value
2.3 Adding Real Numbers
2.4 Subtracting Real Numbers
2.5 Multiplying Real Numbers
2.6 The Distributive Property
2.7 Combining Like Terms
2.8 Dividing Real Numbers

Chapter 3 - Solving Linear Equations

3.1 Solving Equations Using Addition and Subtraction
3.2 Solving Equations Using Multiplication and Division
3.3 Solving Multi-Step Equations
3.4 Solving Equations with Variables on Both Sides
3.5 More on Linear Equations
3.6 Solving Decimal Equations
3.7 Formulas
3.8 Ratios and Rates
3.9 Percents

Chapter 4 - Graphing Linear Equations and Functions

4.1 The Coordinate Plane                                      
4.2 Graphing Linear Equations
4.3 Graphing Horizontal and Vertical Lines
4.4 Graphing Lines Using Intercepts
4.5 The Slope of a Line
4.6 Direct Variation
4.7 Graphing Lines Using Slop-Intercept Form
4.8 Functions and Relations

Chapter 5 - Writing Linear Equations

5.1 Slope-Intercept Form                                  
5.2 Point-Slope Form
5.3 Writing Linear Equations Given Two Points
5.4 Standard Form
5.5 Modeling with Linear Equations
5.6 Perpendicular Lines

Chapter 6 - Solving and Graphing Linear Inequalities

6.1 Solving Inequalities Using Addition or Subtraction      
6.2 Solving Inequalities Using Multiplication or Division
6.3 Solving Multi-Step Inequalities
6.4 Solving Compound Inequalities Involving "And"
6.5 Solving Compound Inequalities Involving "Or"
6.6 Solving Absolute-Value Equations
6.7 Solving Absolute-Value Inequalities
6.8 Graphing Linear Inequalities in Two Variables

Chapter 7 - Systems of Linear Equations and Inequalities

7.1 Graphing Linear Systems                                     
7.2 Solving Linear Systems by Substitution
7.3 Solving Linear Systems by Linear Combinations
7.4 Linear Systems and Problem Solving
7.5 Special Types of Linear Systems
7.6 Systems of Linear Inequalities

Chapter 8 - Exponents and Exponential Functions

8.1 Multiplication Properties of Exponents                      
8.2 Zero and Negative Exponents
8.3 Graphs of Exponential Functions
8.4 Division Properties of Exponents
8.5 Scientific Notation
8.6 Exponential Growth Functions
8.7 Exponential Decay Functions

Chapter 9 - Quadratic Equations and Functions

9.1 Square Roots
9.2 Solving Quadratic Equations by Finding Square Roots
9.3 Simplifying Radicals
9.4 Graphing Quadratic Functions
9.5 Solving Quadratic Equations by Graphing
9.6 Solving Quadratic Equations by the Quadratic Formula
9.7 Using the Discriminant
9.8 Graphing Quadratic Inequalities

Chapter 10 - Polynomials and Factoring

10.1 Adding and Subtraction Polynomials                                                 
10.2 Multiplying Polynomials
10.3 Special Products of Polynomials
10.4 Solving Quadratic Equations in Factored Form
10.5 Factoring x2 + bx + c
10.6 Factoring ax2 + bx + c
10.7 Factoring Special Products
10.8 Factoring Cubic Polynomials

Chapter 11 - Rational Expressions and Equations

11.2 Proportions                                                                                       
11.2 Direct and Inverse Variations
11.3 Simplifying Rational Expressions
11.4 Multiplying and Dividing Rational Expressions
11.5 Adding and Subtracting with Like Denominators
11.6 Adding and Subtracting with Unlike Denominators
11.7 Rational Equations

Chapter 12 - Radicals and More Connections to Geometry

12.1 Functions Involving Square Roots                                                   
12.2 Operations with Radical Expressions
12.3 Solving Radical Equations
12.4 Rational Exponents
12.5 Completing the Square
12.6 The Pythagorean Theorem and Its Converse
12.7 The Distanse Formula
12.8 The Midpoint Formula
12.9 Logical Reasoning: Proof

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