Developmental Mathematics

Developmental Mathematics, 4th edition

  • Elayn Martin-Gay

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Overview

Developmental Mathematics offers trusted content by esteemed author Elayn Martin-Gay. Chapter Test Prep videos and a Video Organizer note-taking guide help support your success.

Published by Pearson (July 15th 2020) - Copyright © 2020

ISBN-13: 9780136881223

Subject: Developmental Math

Category: Combined Developmental Math (2 or 3 courses combined)

Table of contents

1. The Whole Numbers
1.1 Study Skills Tips for Success in Mathematics
1.2 Place Value, Names, and Reading Tables
1.3 Adding Whole Numbers and Perimeter
1.4 Subtracting Whole Numbers
1.5 Rounding and Estimating
1.6 Multiplying Whole Numbers and Area
1.7 Dividing Whole Numbers Integrated Review: Operations on Whole Numbers
1.8 An Introduction to Problem Solving
1.9 Exponents, Square Roots, and Order of Operations

2. Multiplying and Dividing Fractions
2.1 Introduction to Fractions and Mixed Numbers
2.2 Factors and Prime Factorization
2.3 Simplest Form of a Fraction Integrated Review: Summary on Fractions, Mixed Numbers, and Factors
2.4 Multiplying Fractions and Mixed Numbers
2.5 Dividing Fractions and Mixed Numbers

3. Adding and Subtracting Fractions
3.1 Adding and Subtracting Like Fractions
3.2 Least Common Multiple
3.3 Adding and Subtracting Unlike Fractions Integrated Review: Operations on Fractions and Mixed Numbers
3.4 Adding and Subtracting Mixed Numbers
3.5 Order, Exponents, and the Order of Operations
3.6 Fractions and Problem Solving

4. Decimals
4.1 Introduction to Decimals
4.2 Order and Rounding
4.3 Adding and Subtracting Decimals
4.4 Multiplying Decimals and Circumference of a Circle Integrated Review: Operations on Decimals
4.5 Dividing Decimals and Order of Operations
4.6 Fractions and Decimals

5. Ratio, Proportion, and Percent
5.1 Ratio and Proportion
5.2 Introduction to Percent
5.3 Percents and Fractions
5.4 Solving Percent Problems Using Equations
5.5 Solving Percent Problems Using Proportions Integrated Review: Ratio, Proportion, and Percent
5.6 Applications of Percent
5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount
5.8 Percent and Problem Solving: Interest

6. Geometry
6.1 Lines and Angles
6.2 Plane Figures and Solid
6.3 Perimeter
6.4 Area
6.5 Volume Integrated Review: Geometry Concepts
6.6 Square roots and the Pythagorean Theorem
6.7 Congruent and Similar Triangles

7. Reading Graphs and Introductions to Statistics and Probability
7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs
7.2 Circle Graphs Integrated Review: Reading Graphs
7.3 Mean, Median, Mode, and Range
7.4 Counting and Introduction to Probability

8. Real Numbers and Introductions to Algebra
8.1 Symbols and Sets of Numbers
8.2 Exponents, Order of Operations, and Variable Expressions
8.3 Adding Real Numbers
8.4 Subtracting Real Numbers Integrated Review: Operations on Real Numbers
8.5 Multiplying and Dividing Real Numbers
8.6 Properties of Real Numbers
8.7 Simplifying Expressions

9. Equations, Inequalities, and Problem Solving
9.1 The Addition Property of Equality
9.2 The Multiplication Property of Equality
9.3 Further Solving Linear Equations Integrated Review: Solving Linear Equations
9.4 Further Problem Solving
9.5 Formulas and Problem Solving
9.6 Percent and Mixture Problem Solving
9.7 Linear Inequalities and Problem Solving

10. Graphing Equations and Inequalities
10.1 The Rectangular Coordinate System
10.2 Graphing Linear Equations
10.3 Intercepts
10.4 Slope and Rate of Change
10.5 Equations of Lines Integrated Review: Summary on Linear Equations
10.6 Introduction to Functions
10.7 Graphing Linear Inequalities in Two Variables
10.8 Direct and Inverse Variation

11. Systems of 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: Summary on Solving Systems of Equations
11.4 Systems of Linear Equations and Problem Solving

12. Exponents and Polynomials
12.1 Exponents
12.2 Negative Exponents and Scientific Notation
12.3 Introduction to Polynomials
12.4 Adding and Subtracting Polynomials
12.5 Multiplying Polynomials
12.6 Special Products Integrated Review: Exponents and Operations on Polynomials
12.7 Dividing Polynomials

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
13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares 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 Simplifying Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
14.4 Adding and Subtracting Rational Expressions with Different Denominators
14.5 Solving Equations Containing Rational Expressions Integrated Review: Summary on Rational Expressions
14.6 Rational Equations and Problem Solving
14.7 Simplifying Complex Fractions

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 and Nonlinear Graphs
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
16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise: Defined Functions

Appendices:
Appendix A: Further Algebra Topics
Appendix B: Tables

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