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Big Ideas Math Algebra 1, 2013

Chapter 1

Solving Linear Equations

What You Learned Before
Solving Simple Equations
Solving Multi-Step Equations
Quiz
Solving Equations with Variables on Both Sides
Extension: Solving Absolute Value Equations
Rewriting Equations and Formulas
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 2

Graphing and Writing Linear Equations

What You Learned Before
Graphing Linear Equations
Slope of a Line
Extension: Slopes of Parallel and Perpendicular Lines
Graphing Linear Equations in Slope-Intercept Form
Graphing Linear Equations in Standard Form
Quiz
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Extension: Writing Equations of Parallel and Perpendicular Lines
Solving Real-Life Problems
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 3

Solving Linear Inequalities

What You Learned Before
Writing and Graphing Inequalities
Solving Inequalities Using Addition or Subtraction
Solving Inequalities Using Multiplication or Division
Quiz
Solving Multi-Step Inequalities
Extension: Solving Compound Inequalities
Graphing Linear Inequalities in Two Variables
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 4

Solving Systems of Linear Equations

What You Learned Before
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Quiz
Solving Systems of Linear Equations by Elimination
Solving Special Systems of Linear Equations
Extension: Solving Linear Equations by Graphing
Systems of Linear Inequalities
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 5

Linear Functions

What You Learned Before
Domain and Range of a Function
Extension: Relations and Functions
Discrete and Continuous Domains
Linear Function Patterns
Quiz
Function Notation
Extension: Special Functions
Comparing Linear and Nonlinear Functions
Arithmetic Sequences
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 6

Exponential Equation and Functions

What You Learned Before
Properties of Square Roots
Extension: Real Number Operations
Properties of Exponents
Radicals and Rational Exponents
Quiz
Exponential Functions
Extension: Solving Exponential Equations
Exponential Growth
Exponential Decay
Geometric Sequences
Extension: Recursively Defined Sequences
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 7

Polynomial Equations and Factoring

What You Learned Before
Polynomials
Adding and Subtracing Polynomials
Multiplying Polynomials
Special Products of Polynomials
Quiz
Solving Polynomial Equations in Factored Form
Factoring Polynomials Using the GCF
Factoring x² + bx + c
Factoring ax² + bx + c
Factoring Special Products
Extension: Factoring Polynomials Completely
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 8

Graphing Quadratic Functions

What You Learned Before
Graphing y = ax²
Focus of a Parabola
Graphing y = ax² + c
Quiz
Graphing y = ax² + bx + c
Extension: Graphing y = a(x - h)² + k
Comparing Linear, Exponential, and Quadratic Functions
Extension: Comparing Graphs of Functions
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 9

Solving Quadratic Equations

What You Learned Before
Solving Quadratic Equations by Graphing
Solving Quadratic Equations Using Square Roots
Solving Quadratic Equations by Completing the Square
Quiz
Solving Quadratic Equations Using the Quadratic Formula
Extension: Choosing a Solution Method
Solving Systems of Linear and Quadratic Equations
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 10

Square Root Functions and Geometry

What You Learned Before
Graphing Square Root Functions
Extension: Rationalizing the Denominator
Solving Square Root Equations
Quiz
The Pythagorean Theorem
Using the Pythagorean Theorem
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 11

Rational Equations and Functions

What You Learned Before
Direct and Inverse Variation
Graphing Rational Functions
Extension: Inverse of a Function
Simplying Rational Expressions
Quiz
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Adding and Subtracting Rational Expressions
Solving Rational Equations
Quiz
Chapter Review
Chapter Test
Standards Assessment

Chapter 12

Data Analysis and Displays

What You Learned Before
Measures of Central Tendency
Measures of Dispersion
Box-and-Whisker Plots
Shapes of Distributions
Quiz
Scatter Plots and Lines of Fit
Analyzing Lines of Fit
Two-Way Tables
Choosing a Data Display
Quiz
Chapter Review
Chapter Test
Standards Assessment