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Digital file of Algebra Foundations: Prealgebra, Introductory Algebra, & Intermediate Algebra for sale
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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 Binomials Integrated 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 Student Resources Study Skills Builders Bigger Picture-Study Guide Outline Practice Final Exam Table of Contents
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