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Prealgebra & Introductory Algebra, 5th edition

  • Elayn Martin-Gay

Published by Pearson (February 23rd 2018) - Copyright © 2019

5th edition

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0134674111 / 9780134674117  Prealgebra & Introductory Algebra Plus MyLab Math with Pearson eText -- Access Card Package, 5/e 

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  • 013470763X / 9780134707631  Prealgebra & Introductory Algebra
  • 0135115809 / 9780135115800  MyLab Math with Pearson eText - Standalone Access Card - for Prealgebra & Introductory Algebra

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, Triangle Applications, and Introduction to Statistics and Probability 

7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics 

7.2 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. Exponents and Polynomials

10.1 Exponents 

10.2 Negative Exponents and Scientific Notation 

10.3 Introduction to Polynomials 

10.4 Adding and Subtracting Polynomials 

10.5 Multiplying Polynomials 

10.6 Special Products 

Integrated Review–Exponents and Operations on Polynomials 

10.7 Dividing Polynomials 


11. Factoring Polynomials 

11.1 The Greatest Common Factor and Factoring by Grouping 

11.2 Factoring Trinomials of the Form x2+ bx +

11.3 Factoring Trinomials of the Form ax2+ bx +

11.4 Factoring Trinomials of the Form ax2+ bx + c by Grouping 

11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares 

Integrated Review–Choosing a Factoring Strategy 

11.6 Solving Quadratic Equations by Factoring 

11.7 Quadratic Equations and Problem Solving 


12. Rational Expressions 

12.1 Simplifying Rational Expressions 

12.2 Multiplying and Dividing Rational Expressions 

12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 

12.4 Adding and Subtracting Rational Expressions with Different Denominators 

12.5 Solving Equations Containing Rational Expressions 

Integrated Review–Summary on Rational Expressions 

12.6 Rational Equations and Problem Solving 

12.7 Simplifying Complex Fractions 


13. Graphing Equations and Inequalities 

13.1 The Rectangular Coordinate System 

13.2 Graphing Linear Equations 

13.3 Intercepts 

13.4 Slope and Rate of Change 

13.5 Equations of Lines 

Integrated Review–Summary on Linear Equations 

13.6 Introduction to Functions 

13.7 Graphing Linear Inequalities in Two Variables 

13.8 Direct and Inverse Variation 


14. Systems of Equations 

14.1 Solving Systems of Linear Equations by Graphing 

14.2 Solving Systems of Linear Equations by Substitution 

14.3 Solving Systems of Linear Equations by Addition 

Integrated Review–Summary on Solving Systems of Equations 

14.4 Systems of Linear Equations and Problem Solving 


15. Roots and Radicals 

15.1 Introduction to Radicals 

15.2 Simplifying Radicals 

15.3 Adding and Subtracting Radicals 

15.4 Multiplying and Dividing Radicals 

Integrated Review–Simplifying Radicals 

15.5 Solving Equations Containing Radicals 

15.6 Radical Equations and Problem Solving 


16. Quadratic Equations 

16.1 Solving Quadratic Equations by the Square Root Property 

16.2 Solving Quadratic Equations by Completing the Square 

16.3 Solving Quadratic Equations by the Quadratic Formula 

Integrated Review–Summary on Solving Quadratic Equations

16.4 Graphing Quadratic Equations in Two Variables 

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 

Appendix B: Factoring Sums and Differences of Cubes 

Appendix C: Mixture and Uniform Motion Problem Solving 

Appendix D: Systems of Linear Inequalities 

Appendix E: Geometric Formulas 

Student Resources 

Study Skills Builders 

Bigger Picture–Study Guide Outline 

Practice Final Exam 

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