Table of Contents

1. The Whole Numbers

  • 1.1 Study Skill Tips for Success in Mathematics
  • 1.2 Place Value, Names for Numbers, and Reading Tables
  • 1.3 Adding and Subtracting Whole Numbers, and Perimeter
  • 1.4 Rounding and Estimating
  • 1.5 Multiplying Whole Numbers and Area
  • 1.6 Dividing Whole Numbers Integrated Review—Operations on Whole Numbers
  • 1.7 Exponents and Order of Operations
  • 1.8 Introduction to Variables, Algebraic Expressions, and Equations

2. Integers and Introduction to Solving Equations

  • 2.1 Introduction to Integers
  • 2.2 Adding Integers
  • 2.3 Subtracting Integers
  • 2.4 Multiplying and Dividing Integers Integrated Review—Integers
  • 2.5 Order of Operations
  • 2.6 Solving Equations: The Addition and Multiplication Properties

3. Solving Equations and Problem Solving

  • 3.1 Simplifying Algebraic Expressions
  • 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review—Expressions and Equations
  • 3.3 Solving Linear Equations in One Variable
  • 3.4 Linear Equations in One Variable and Problem Solving

4. Fractions and Mixed Numbers

  • 4.1 Introduction to Fractions and Mixed Numbers
  • 4.2 Factors and Simplest Form
  • 4.3 Multiplying and Dividing Fractions
  • 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
  • 4.5 Adding and Subtracting Unlike Fractions Integrated Review—Summary on Fractions and Operations on Fractions
  • 4.6 Complex Fractions and Review of Order of Operations
  • 4.7 Operations on Mixed Numbers
  • 4.8 Solving Equations Containing Fractions

5. Decimals

  • 5.1 Introduction to Decimals
  • 5.2 Adding and Subtracting Decimals
  • 5.3 Multiplying Decimals and Circumference of a Circle
  • 5.4 Dividing Decimals Integrated Review—Operations on Decimals
  • 5.5 Fractions, Decimals, and Order of Operations
  • 5.6 Solving Equations Containing Decimals
  • 5.7 Decimal Applications: Mean, Median, and Mode

6. Ratio, Proportion, and Percent

  • 6.1 Ratio and Proportion
  • 6.2 Percents, Decimals, and Fractions
  • 6.3 Solving Percent Problems with Equations
  • 6.4 Solving Percent Problems with Proportions Integrated Review—Ratio, Proportion, and Percent
  • 6.5 Applications of Percent
  • 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
  • 6.7 Percent and Problem Solving: Interest

7. Graphs and Triangle Applications

  • 7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs
  • 7.2 Reading and Drawing Circle Graphs Integrated Review—Reading Graphs
  • 7.3 Square Roots and the Pythagorean Theorem
  • 7.4 Congruent and Similar Triangles
  • 7.5 Counting and Introduction to Probability

8. Geometry and Measurement

  • 8.1 Lines and Angles
  • 8.2 Perimeter
  • 8.3 Area, Volume, and Surface Area Integrated Review—Geometry Concepts
  • 8.4 Linear Measurement
  • 8.5 Weight and Mass
  • 8.6 Capacity
  • 8.7 Temperature and Conversions Between the U.S. and Metric Systems

9. Equations, Inequalities, and Problem Solving

  • 9.1 Symbols and Sets of Numbers
  • 9.2 Properties of Real Numbers
  • 9.3 Further Solving Linear Equations Integrated Review—Real Numbers and Solving Linear Equations
  • 9.4 Further Problem Solving
  • 9.5 Formulas and Problem Solving
  • 9.6 Linear Inequalities and Problem Solving

10. Graphing

  • 10.1 Reading Graphs and the Rectangular Coordinate System
  • 10.2 Graphing Linear Equations
  • 10.3 Intercepts
  • 10.4 Slope and Rate of Change Integrated Review—Summary on Slope and Graphing Linear Equations
  • 10.5 Equation of Lines
  • 10.6 Functions

11. Solving Systems of Linear Equations

  • 11.1 Solving Systems of Linear Equations by Graphing
  • 11.2 Solving Systems of Linear Equations by Substitution
  • 11.3 Solving Systems of Linear Equations by Addition Integrated Review—Solving Systems of Equations
  • 11.4 Solving Systems of Linear Equations in Three Variables
  • 11.5 Systems of Linear Equations and Problem Solving

12. Exponents and Polynomials

  • 12.1 Exponents
  • 12.2 Polynomial Functions and Adding and Subtracting Polynomials
  • 12.3 Multiplying Polynomials
  • 12.4 Special Products Integrated Review—Exponents and Operations on Polynomials
  • 12.5 Negative Exponents and Scientific Notation
  • 12.6 Dividing Polynomials
  • 12.7 Synthetic Division and the Remainder Theorem

13. Factoring Polynomials

  • 13.1 The Greatest Common Factor and Factoring by Grouping
  • 13.2 Factoring Trinomials of the Form x2 + bx + c
  • 13.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
  • 13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
  • 13.5 Factoring BinomialsIntegrated Review—Choosing a Factoring Strategy
  • 13.6 Solving Quadratic Equations by Factoring
  • 13.7 Quadratic Equations and Problem Solving

14. Rational Expressions

  • 14.1 Rational Functions and Simplifying Rational Expressions
  • 14.2 Multiplying and Dividing Rational Expressions
  • 14.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
  • 14.4 Adding and Subtracting Rational Expressions with Unlike Denominators
  • 14.5 Solving Equations Containing Rational Expressions Integrated Review—Summary on Rational Expressions
  • 14.6 Problem Solving with Proportions and Rational Equations
  • 14.7 Simplifying Complex Fractions

15. More on Functions and Graphs

  • 15.1 Graphing and Writing Linear Functions
  • 15.2 Reviewing Function Notation and Graphing Nonlinear Functions Integrated Review—Summary on Functions and Equations of Lines
  • 15.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
  • 15.4 Variation and Problem Solving

16. Inequalities and Absolute Value

  • 16.1 Compound Inequalities
  • 16.2 Absolute Value Equations
  • 16.3 Absolute Value Inequalities Integrated Review—Solving Compound Inequalities and Absolute Value Equations and Inequalities
  • 16.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

17. Rational Exponents, Radicals, and Complex Numbers

  • 17.1 Radicals and Radical Functions
  • 17.2 Rational Exponents
  • 17.3 Simplifying Radical Expressions
  • 17.4 Adding, Subtracting, and Multiplying Radical Expressions
  • 17.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review—Radicals and Rational Exponents
  • 17.6 Radical Equations and Problem Solving
  • 17.7 Complex Numbers

18. Quadratic Equations and Functions

  • 18.1 Solving Quadratic Equations by Completing the Square
  • 18.2 Solving Quadratic Equations by the Quadratic Formula
  • 18.3 Solving Equations by Using Quadratic Methods Integrated Review—Summary on Solving Quadratic Equations
  • 18.4 Nonlinear Inequalities in One Variable
  • 18.5 Quadratic Functions and Their Graphs
  • 18.6 Further Graphing of Quadratic Functions

19. Exponential and Logarithmic Functions

  • 19.1 The Algebra of Functions: Composite Functions
  • 19.2 Inverse Functions
  • 19.3 Exponential Functions
  • 19.4 Exponential Growth and Decay Functions
  • 19.5 Logarithmic Functions
  • 19.6 Properties of Logarithms Integrated Review—Functions and Properties of Logarithms
  • 19.7 Common Logarithms, Natural Logarithms, and Change of Base
  • 19.8 Exponential and Logarithmic Equations and Problem Solving

20. Conic Sections

  • 20.1 The Parabola and the Circle
  • 20.2 The Ellipse and the Hyperbola Integrated Review—Graphing Conic Sections
  • 20.3 Solving Nonlinear Systems of Equations
  • 20.4 Nonlinear Inequalities and Systems of Inequalities

21. Sequences, Series, and the Binomial Theorem

  • 21.1 Sequences
  • 21.2 Arithmetic and Geometric Sequences
  • 21.3 Series Integrated Review—Sequences and Series
  • 21.4 Partial Sums of Arithmetic and Geometric Sequences
  • 21.5 The Binomial Theorem

Appendices

Appendix A Tables

  • A.1 Table of Geometric Figures
  • A.2 Table of Percents, Decimals, and Fraction Equivalents
  • A.3 Table on Finding Common Percents of a Number
  • A.4 Table of Squares and Square Roots
  • A.5 Geometric Formulas

Appendix B Review of Algebra Topics

  • B.1 Equations (Linear and Quadratic Solved by Factoring)
  • B.2 Mixture and Uniform Motion Problem Solving
  • B.3 Graphing
  • B.4 Polynomials and Factoring
  • B.5 Rational Expressions

Appendix C. Stretching and Compressing Graphs of Absolute Value Functions
Appendix D. An Introduction to Using a Graphing Utility
Appendix E. Solving Systems of Equations by Matrices
Appendix F. Solving Systems of Equations by Determinants

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