Table of Contents

1 Foundations

1.1 Use the Language of Algebra
 The Least Common Multiple
 Multiples of Whole Numbers
 Divisibility
 Factors of Whole Numbers
 Prime Factorization of a Composite Number
 Prime Factorization by Factor Trees
 Variables and Constants
 Inequalities on a Number Line
 Evaluating Numerical Expressions Involving Exponents Using Order of Operations
 Evaluating Simple Algebraic Expressions
 Simplifying Polynomials by Combining Like Terms
 Writing Algebraic Expressions
 1.2 Integers

1.3 Fractions
 Simplifying Fractions
 Multiplying a Fraction by a Whole Number
 Multiplying Fractions by Fractions
 Dividing Unit Fractions by Nonzero Whole Numbers
 Dividing Positive and Negative Fractions
 Simplifying Complex Fractions
 Adding Fractions with Unlike Denominators
 Subtracting Fractions with Unlike Denominators

1.4 Decimals
 Rounding Numbers with Two Decimal Places
 Rounding Multidigit Decimals to Any Place Value
 Rounding Numbers with Three Decimal Places
 Adding and Subtracting Decimals with up to Three Decimal Places
 Subtracting Decimals with Two Decimal Places Using the Column Method
 Multiplying Decimals by 10, 100, and 1000
 Multiplying Decimals Using the Column Method
 Dividing Decimals by OneDigit Numbers Using Long Division
 Decimal Division with Whole Number Quotients
 Converting Decimals to Fractions
 Converting Fractions to Decimals
 Percentages to Decimals
 Decimals to Percentages
 Square Roots of Perfect Squares Involving Integers
 Decimals on Number Lines: Hundredths

1.5 Properties of Real Numbers
 Simplifying Algebraic Expressions Using the Commutative and Associative Properties
 The Identity and Inverse Properties of Addition and Multiplication
 Multiplication Properties
 Evaluating Numerical Expressions Using the Distributive Property
 Distributive Property of Multiplication
 Rewriting Expressions Using the Distributive Property

1.1 Use the Language of Algebra

2 Solving Linear Equations
 2.1 Use a General Strategy to Solve Linear Equations
 2.2 Use a Problem Solving Strategy
 2.3 Solve a Formula for a Specific Variable
 2.4 Solve Mixture and Uniform Motion Applications
 2.5 Solve Linear Inequalities
 2.6 Solve Compound Inequalities
 2.7 Solve Absolute Value Inequalities

3 Graphs and Functions
 3.1 Graph Linear Equations in Two Variables
 3.2 Slope of a Line
 3.3 Find the Equation of a Line
 3.4 Graph Linear Inequalities in Two Variables
 3.5 Relations and Functions
 3.6 Graphs of Functions

4 Systems of Linear Equations
 4.1 Solve Systems of Linear Equations with Two Variables
 4.2 Solve Applications with Systems of Equations
 4.3 Solve Mixture Applications with Systems of Equations
 4.4 Solve Systems of Equations with Three Variables
 4.5 Solve Systems of Equations Using Matrices
 4.6 Solve Systems of Equations Using Determinants
 4.7 Graphing Systems of Linear Inequalities

5 Polynomials and Polynomial Functions
 5.1 Add and Subtract Polynomials
 5.2 Properties of Exponents and Scientific Notation
 5.3 Multiply Polynomials

5.4 Dividing Polynomials
 Dividing Monomials
 Dividing Polynomials by a Divisor of First Degree with No Remainder
 Dividing Polynomials by a Divisor of First Degree with a Remainder
 Dividing Polynomials by a Divisor of Second Degree or Higher
 Dividing Polynomials by Monomials
 Dividing a Polynomial by a Binomial Using Factorization

6 Factoring
 6.1 Greatest Common Factor and Factor by Grouping
 6.2 Factor Trinomials
 6.3 Factor Special Products
 6.4 General Strategy for Factoring Polynomials
 6.5 Polynomial Equations

7 Rational Expressions and Functions
 7.1 Multiply and Divide Rational Expressions
 7.2 Add and Subtract Rational Expressions
 7.3 Simplify Complex Rational Expressions
 7.4 Solve Rational Equations
 7.5 Solve Applications with Rational Equations
 7.6 Solve Rational Inequalities

8 Roots and Radicals
 8.1 Simplify Expressions with Roots
 8.2 Simplify Radical Expressions
 8.3 Simplify Rational Exponents
 8.4 Add, Subtract, and Multiply Radical Expressions
 8.5 Divide Radical Expressions
 8.6 Solve Radical Equations
 8.7 Use Radicals in Functions
 8.8 Use the Complex Number System

9 Quadratic Equations and Functions
 9.1 Solve Quadratic Equations Using the Square Root Property
 9.2 Solve Quadratic Equations by Completing the Square
 9.3 Solve Quadratic Equations Using the Quadratic Formula
 9.4 Solve Quadratic Equations in Quadratic Form
 9.5 Solve Applications of Quadratic Equations
 9.6 Graph Quadratic Functions Using Properties
 9.7 Graph Quadratic Functions Using Transformations
 9.8 Solve Quadratic Inequalities

10 Exponential and Logarithmic Functions
 10.1 Finding Composite and Inverse Functions
 10.2 Evaluate and Graph Exponential Functions
 10.3 Evaluate and Graph Logarithmic Functions
 10.4 Use the Properties of Logarithms
 10.5 Solve Exponential and Logarithmic Equations

11 Conics
 11.1 Distance and Midpoint Formulas; Circles
 11.2 Parabolas
 11.3 Ellipses
 11.4 Hyperbolas
 11.5 Solve Systems of Nonlinear Equations

12 Sequences, Series and Binomial Theorem
 12.1 Sequences
 12.2 Arithmetic Sequences
 12.3 Geometric Sequences and Series
 12.4 Binomial Theorem