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Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra, 1st edition

Published by Pearson (December 24, 2014) © 2016

  • Tom Carson
  • Bill E. Jordan Seminole State College of Florida

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For courses covering Prealgebra, Elementary Algebra, & Intermediate Algebra (Combo Courses).

What’s your style?

The Developmental Mathematics: Prealgebra, Elementary Algebra, & Intermediate Algebra, 1st Edition all-in-one offers everything needed to teach the full developmental math sequence in 1 flexible course solution. Created to support all learning styles and promote essential study skills, it helps students succeed by presenting the "why" behind understanding algebra. The complete Carson Math Study System includes a Learning Styles Inventory to assess and meet varying student needs. To foster conceptual understanding, the authors use everyday language and walk students through the concepts, explaining not only how to do the math but where concepts come from and why they work.

Hallmark features of this title

  • The complete Carson Math Study System helps students develop the skills (such as time management, test-prep, note-taking) that they need to succeed in math, their careers and life.
  • Proven pedagogy explains the "why" behind algebra. The program walks students through the concepts in everyday language, explaining not only how to do the math, but also where the concepts come from and why they work.
  • Real, relevant and interesting applications in the examples and exercises illustrate the everyday use of basic algebraic concepts by reflecting real situations in science, engineering, health, finance, the arts and other areas.
  • Your Turn practice exercises found after most examples give students the opportunity to work problems similar to the examples they have just seen.
  • Varied exercises give students the practice they need to master skills and concepts.
  • End-of-chapter material helps students review more effectively.

Features of MyLab Math for the 1st Edition

  • A complete eText is included.
  • Section Lecture Videos are available for every section. They offer a navigation menu by objective, can be played on mobile devices, and include closed captioning.
  • Chapter Test Prep Videos contain step-by-step video solutions to every exercise in the end-of-chapter Practice Tests.
    • An instructor walks students through each problem, allowing students to pause and rewind as needed so they can study at their own pace.
    • Chapter Test Prep Videos are available both in MyLab® Math and on YouTube (search using author name and book title). Videos include closed captioning.

1. Whole Numbers

  • 1.1 Introduction to Numbers, Notation, and Rounding
  • 1.2 Adding and Subtracting Whole Numbers; Solving Equations
  • 1.3 Multiplying Whole Numbers; Solving Equations
  • 1.4 Dividing Whole Numbers; Solving Equations
  • 1.5 Order of Operations; Mean, Median, and Mode
  • 1.6 More with Formulas

2. Integers

  • 2.1 Introduction to Integers
  • 2.2 Adding Integers
  • 2.3. Subtracting Integers and Solving Equations
  • 2.4 Multiplying and Dividing Integers; Exponents; Square Roots; Solving Equations
  • 2.5 Order of Operations
  • 2.6 Additional Applications and Problem Solving

3. Expressions

  • 3.1 Translating and Evaluating Expressions
  • 3.2 The Distributive Property; Combining Like Terms
  • 3.3 Equations and their Solutions
  • 3.4 The Addition Principle of Equality
  • 3.5 The Multiplication Principle of Equality
  • 3.6 Translating Word Sentences of Equations

4. Fractions

  • 4.1 Prime Numbers and GCF
  • 4.2 Introduction to Fractions
  • 4.3 Simplifying Fractions
  • 4.4 Multiplying Fractions and Mixed Numbers
  • 4.5 Dividing Fractions and Mixed Numbers

5. Adding and Subtracting Fractions

  • 5.1 Least Common Multiple
  • 5.2 Adding and Subtracting Fractions and Mixed Numbers
  • 5.3 Order of Operations; Evaluating and Simplifying Expressions
  • 5.4 Solving Equations

6. Decimals

  • 6.1 Introduction to Decimal Numbers
  • 6.2 Adding and Subtracting Decimal Numbers
  • 6.3 Multiplying Decimal Numbers; Exponents with Decimal Bases
  • 6.4 Dividing Decimal Numbers; Square Roots with Decimals
  • 6.5 Order of Operations and Applications in Geometry
  • 6.6 Solving Equations and Problem Solving
  • 6.7 Points, Lines, and Angles

7. Ratios, Proportions and Measurements

  • 7.1 Ratios, Probability, and Rate
  • 7.2 Proportions
  • 7.3 American Measurement; Time
  • 7.4 Metric Measurement
  • 7.5 Converting between Systems; Temperature
  • 7.6 Applications and Problem Solving

8. Percents

  • 8.1 Introduction to Percent
  • 8.2 Solving Basic Percent Sentences
  • 8.3 Solving Percent Problems (Proportions)
  • 8.4 Solving Problems Involving Percent of Increase or Decrease
  • 8.5 Solving Problems Involving Interest

9. Linear Equations and Inequalities in One Variable

  • 9.1 Linear Equations and Formulas
  • 9.2 Solving Problems
  • 9.3 Solving Linear Inequalities
  • 9.4 Compound Inequalities
  • 9.5 Equations Involving Absolute Value
  • 9.6 Inequalities Involving Absolute Value

10. Graphing Linear Equations and Inequalities

  • 10.1 The Rectangular Coordinate System
  • 10.2 Graphing Linear Equations
  • 10.3 Graphing Using Intercepts
  • 10.4 Slope-Intercept Form
  • 10.5 Point-Slope Form
  • 10.6 Graphing Linear Inequalities
  • 10.7 Introduction to Functions and Function Notation

11. Systems of Linear Equations and Inequalities

  • 11.1 Solving Systems of Linear Equations Graphically
  • 11.2 Solving Systems of Linear Equations by Substitution; Application
  • 11.3 Solving Systems of Linear Equations by Elimination; Applications
  • 11.4 Solving Systems of Linear Equations in Three Variables; Applications
  • 11.5 Solving Systems of Linear Equations Using Matrices
  • 11.6 Solving Systems of Linear Inequalities

12. Polynomials

  • 12.1 Exponents and Scientific Notations
  • 12.2 Introduction to Polynomials
  • 12.3 Adding and Subtracting Polynomials
  • 12.4 Exponent Rules and Multiplying Monomials
  • 12.5 Multiplying Polynomials; Special Products
  • 12.6 Exponent Rules and Dividing Polynomials

13. Factoring

  • 13.1 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, where a≠1
  • 13.4 Factoring Special Products
  • 13.5 Strategies for Factoring
  • 13.6 Solving Quadratic Equations by Factoring
  • 13.7 Graphs of Quadratic Equations and Functions

14. Rational Expressions and Equations

  • 14.1 Simplifying Rational Expressions
  • 14.2 Multiplying and Dividing Rational Expressions
  • 14.3 Adding and Subtracting Rational Expressions with the Same Denominator
  • 14.4 Adding and Subtracting Rational Expressions with Different Denominators
  • 14.5 Complex Rational Expressions
  • 14.6 Solving Equations Containing Rational Expressions
  • 14.7 Applications with Rational Expressions, Including Variation

15. Rational Exponents, Radicals, and Complex Numbers

  • 15.1 Radical Expressions and Functions
  • 15.2 Rational Exponents
  • 15.3 Multiplying, Dividing, and Simplifying Radicals
  • 15.4 Adding, Subtracting, and Multiplying Radical Expressions
  • 15.5 Rationalizing Numerators and Denominators of Radical Expressions
  • 15.6 Radical Equations and Problem Solving
  • 15.7 Complex Numbers

16. Quadratic Equations and Functions

  • 16.1 The Square Root Principle and Completing the Square
  • 16.2 Solving Quadratic Equations using the Quadratic Formula
  • 16.3 Solving Equations the are Quadratic in Form
  • 16.4 Graphing Quadratic Functions
  • 16.5 Solving Nonlinear Inequalities
  • 16.6 Function Operations

17. Exponential and Logarithmic Functions

  • 17.1 Composite and Inverse Functions
  • 17.2 Exponential Functions
  • 17.3 Logarithmic Functions
  • 17.4 Properties of Logarithms
  • 17.5 Common and Natural Logarithms
  • 17.6 Exponential and Logarithmic Equations with Applications

18. Conic Sections

  • 18.1 Parabolas and Circles
  • 18.2 Ellipses and Hyperbolas
  • 18.3 Nonlinear Systems of Equations
  • 18.4 Nonlinear Inequalities and Systems of Inequalities

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