Developmental Mathematics
Prealgebra, Elementary Algebra, and Intermediate Algebra
Published on 24. December 2014
Loose-leaf edition
1380 pages
978-0-321-91517-7 (ISBN)
Description
The new Carson All in One, Developmental Mathematics: Prealgebra, Elementary Algebra, & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution.True to the Carson approach, it guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work, to foster conceptual understanding.
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:
0133931692 / 9780133931693 MyMathLab for Carson Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra--with Access Card--PLUS Worksheets
Package consists of:
0321757378 / 9780321757371 MyMathLab CourseCompass Integrated Course Sequence -- Standalone Access Card
0321915208 / 9780321915207 MyWorkBook for Developmental Math: Prealgebra, Elementary and Intermediate Algebra
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:
0133931692 / 9780133931693 MyMathLab for Carson Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra--with Access Card--PLUS Worksheets
Package consists of:
0321757378 / 9780321757371 MyMathLab CourseCompass Integrated Course Sequence -- Standalone Access Card
0321915208 / 9780321915207 MyWorkBook for Developmental Math: Prealgebra, Elementary and Intermediate Algebra
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 277 mm
Width: 211 mm
Thickness: 46 mm
Weight
2654 gr
ISBN-13
978-0-321-91517-7 (9780321915177)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
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
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