Student Solutions Manual for Developmental Mathematics

<p><strong>1. Whole Numbers and Introduction to Algebra</strong></p> <p>1.1 Basics of Whole Numbers</p> <p>1.2 Adding Whole Numbers</p> <p>1.3 Subtracting Whole Numbers</p> <p>1.4 Multiplying Whole Numbers</p> <p> Mid-Chapter Check Point</p> <p>1.5 Dividing Whole Numbers</p> <p>1.6 Exponents and Order of Operations</p> <p>1.7 Introduction to Algebra: Variables and Mathematical Models</p> <p><strong>2. Integers and Introduction to Solving Equations</strong></p> <p>2.1 Introduction to Integers</p> <p>2.2 Adding Integers</p> <p>2.3 Subtracting Integers</p> <p>2.4 Multiplying and Dividing Integers</p> <p> Mid-Chapter Check Point</p> <p>2.5 Order of Operations with Integers; Mathematical Models</p> <p>2.6 Solving Equations: The Addition and Multiplication Properties of Equality</p> <p><strong>3. Fractions</strong></p> <p>3.1 Introduction to Fractions and Mixed Numbers</p> <p>3.2 Factors and Prime Factorizations; Simplest Form of a Fraction</p> <p>3.3 Multiplying Fractions and Mixed Numbers</p> <p>3.4 Dividing Fractions and Mixed Numbers</p> <p> Mid-Chapter Check Point</p> <p>3.5 Adding and Subtracting Like Fractions</p> <p>3.6 Adding and Subtracting Unlike Fractions</p> <p>3.7 Order of Operations with Fractions; Mathematical Models</p> <p>3.8 Ratios, Rates, and Proportions</p> <p><strong>4. Decimals</strong></p> <p>4.1 Introduction to Decimals</p> <p>4.2 Adding and Subtracting Decimals</p> <p>4.3 Multiplying Decimals</p> <p> Mid-Chapter Check Point</p> <p>4.4 Dividing Decimals</p> <p>4.5 Fractions, Decimals, and Order of Operations</p> <p>4.6 Solving and Modeling with Equations Containing Decimals</p> <p><strong>5. Percents</strong></p> <p>5.1 Percents, Decimals, and Fractions</p> <p>5.2 Solving Percent Problems with Equations</p> <p> Mid-Chapter Check Point</p> <p>5.3 Applications of Percent</p> <p>5.4 Simple and Compound Interest</p> <p><strong>6. Geometry</strong></p> <p>6.1 Measuring Length; The English and Metric Systems</p> <p>6.2 Points, Lines, Planes, and Angles</p> <p>6.3 Triangles</p> <p>6.4 Irrational Numbers, Square Roots, and the Pythagorean Theorem</p> <p> Mid-Chapter Check Point</p> <p>6.5 Polygons and Perimeter</p> <p>6.6 Area and Circumference</p> <p>6.7 Volume and Surface Area</p> <p><strong>7. Statistics &amp; Probability</strong></p> <p>7.1 Sampling, Frequency Distributions, and Graphs</p> <p>7.2 Measures of Central Tendency</p> <p> Mid-Chapter Check Point</p> <p>7.3 Fundamentals of Probability</p> <p><strong>8. Linear Equations and Inequalities in One Variable</strong></p> <p>8.1 The Addition Property of Equality</p> <p>8.2 The Multiplication Property of Equality</p> <p>8.3 Solving Linear Equations</p> <p>8.4 Formulas and Percents</p> <p> Mid-Chapter Check Point</p> <p>8.5 An Introduction to Problem Solving</p> <p>8.6 Problem Solving in Geometry</p> <p>8.7 Solving Linear Inequalities</p> <p><strong>9. Linear Equations in Two Variables</strong></p> <p>9.1 Graphing Linear Equations in Two Variables</p> <p>9.2 Graphing Linear Equations Using Intercepts</p> <p>9.3 Slope</p> <p>9.4 The Slope-Intercept Form of the Equation of a Line</p> <p> Mid-Chapter Check Point</p> <p>9.5 The Point-Slope Form of the Equation of a Line</p> <p><strong>10. Systems of Linear Equations</strong></p> <p>10.1 Solving Systems of Linear Equations by Graphing</p> <p>10.2 Solving Systems of Linear Equations by the Substitution Method</p> <p>10.3 Solving Systems of Linear Equations by the Addition Method</p> <p> Mid-Chapter Check Point</p> <p>10.4 Problem Solving Using Systems of Equations</p> <p>10.5 Systems of Linear Equations in Three Variables</p> <p><strong>11. Exponents and Polynomials</strong></p> <p>11.1 Adding and Subtracting Polynomials</p> <p>11.2 Multiplying Polynomials</p> <p>11.3 Special Products</p> <p>11.4 Polynomials in Several Variables</p> <p> Mid-Chapter Check Point</p> <p>11.5 Dividing Polynomials</p> <p>11.6 Long Division of Polynomials; Synthetic Division</p> <p>11.7 Negative Exponents and Scientific Notation</p> <p><strong>12. Factoring Polynomials</strong></p> <p>12.1 The Greatest Common Factor and Factoring by Grouping</p> <p>12.2 Factoring Trinomials Whose Leading Coefficient is 1</p> <p>12.3 Factoring Trinomials Whose Leading Coefficient is Not 1</p> <p> Mid-Chapter Check Point</p> <p>12.4 Factoring Special Forms</p> <p>12.5 A General Factoring Strategy</p> <p>12.6 Solving Quadratic Equations by Factoring</p> <p><strong>13. Rational Expressions</strong></p> <p>13.1 Rational Expressions and Their Simplification</p> <p>13.2 Multiplying and Dividing Rational Expressions</p> <p>13.3 Adding and Subtracting Rational Expressions with the Same Denominator</p> <p>13.4 Adding and Subtracting Rational Expressions with Different Denominators</p> <p> Mid-Chapter Check Point</p> <p>13.5 Complex Rational Expressions</p> <p>13.6 Solving Rational Equations</p> <p>13.7 Applications Using Rational Equations and Proportions</p> <p>13.8 Modeling Using Variation</p> <p><strong>14. Basics of Functions</strong></p> <p>14.1 Introduction to Functions</p> <p>14.2 Graphs of Functions</p> <p>14.3 The Algebra of Functions</p> <p> Mid-Chapter Check Point</p> <p>14.4 Composite and Inverse Functions</p> <p><strong>15. Inequalities and Problem Solving</strong></p> <p>15.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications</p> <p>15.2 Compound Inequalities</p> <p>15.3 Equations and Inequalities Involving Absolute Value</p> <p> Mid-Chapter Check Point</p> <p>15.4 Linear Inequalities in Two Variables</p> <p><strong>16. Radicals, Radical Functions, and Rational Exponents</strong></p> <p>16.1 Radical Expressions and Functions</p> <p>16.2 Rational Exponents</p> <p>16.3 Multiplying and Simplifying Radical Expressions</p> <p>16.4 Adding, Subtracting, and Dividing Radical Expressions</p> <p> Mid-Chapter Check Point</p> <p>16.5 Multiplying with More Than One Term and Rationalizing Denominators</p> <p>16.6 Radical Equations</p> <p>16.7 Complex Numbers</p> <p><strong>17. Quadratic Equations and Functions</strong></p> <p>17.1 The Square Root Property and Completing the Square; Distance and Midpoint</p> <p> Formula</p> <p>17.2 The Quadratic Formula</p> <p>17.3 Quadratic Functions and Their Graphs</p> <p> Mid-Chapter Check Point</p> <p>17.4 Equations Quadratic in Form</p> <p>17.5 Polynomial and Rational Inequalities</p> <p><strong>18. Exponential and Logarithmic Functions</strong></p> <p>18.1 Exponential Functions</p> <p>18.2 Logarithmic Functions</p> <p>18.3 Properties of Logarithms</p> <p> Mid-Chapter Check Point</p> <p>18.4 Exponential and Logarithmic Equations</p> <p>18.5 Exponential Growth and Decay; Modeling Data</p> <p><strong>19. Conic Sections and Systems of Nonlinear Equations</strong></p> <p>19.1 The Circle</p> <p>19.2 The Ellipse</p> <p>19.3 The Hyperbola</p> <p> Mid-Chapter Check Point</p> <p>19.4 The Parabola; Identifying Conic Sections</p> <p>19.5 Systems of Nonlinear Equations in Two Variables</p> <p><strong>20. Sequences, Series, and the Binomial Theorem</strong></p> <p>20.1 Sequences and Summation Notation</p> <p>20.2 Arithmetic Sequences</p> <p>20.3 Geometric Sequences</p> <p> Mid-Chapter Check Point</p> 20.4 The Binomial Theorem