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Prealgebra & Introductory Algebra, 6th edition

  • Elayn Martin-Gay

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Elayn Martin-Gay believes that every student can succeed, and her learner-centered approach creates course materials that are beloved by students and instructors alike. Prealgebra & Introductory Algebra helps you transition from arithmetic to algebra through her accessible writing and built-in study skills resources. With features like Concept Checks that help you check your own understanding of topics, and end-of-chapter material to get you ready for a test, this text is written to help you succeed.

The 6th Edition continues Elayn Martin-Gay's focus on your success with an entirely new video program that blends study tips seamlessly into the math instruction, updated applications pulled from real life, and more.

Published by Pearson (July 31st 2024) - Copyright © 2025

ISBN-13: 9780138211479

Subject: Developmental Math

Category: Basic Math/Prealgebra & Beginning Algebra Combined

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 + c
  • 11.3 Factoring Trinomials of the Form ax2+ bx + c
  • 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

Appendices

  • 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
  • B: Factoring Sums and Differences of Cubes
  • C: Mixture and Uniform Motion Problem Solving
  • D: Systems of Linear Inequalities
  • E: Geometric Formulas

Student Resources

  • Study Skills Builders
  • Bigger Picture–Study Guide Outline
  • Practice Final Exam