Student Solutions Manual for Developmental Mathematics

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to his Developmental Algebra Series, Bob has written textbooks covering college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson Education. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

• 1. Whole Numbers and Introduction to Algebra1.1 Basics of Whole Numbers1.2 Adding Whole Numbers1.3 Subtracting Whole Numbers1.4 Multiplying Whole NumbersMid-Chapter Check Point1.5 Dividing Whole Numbers1.6 Exponents and Order of Operations1.7 Introduction to Algebra: Variables and Mathematical Models2. Integers and Introduction to Solving Equations2.1 Introduction to Integers2.2 Adding Integers2.3 Subtracting Integers2.4 Multiplying and Dividing IntegersMid-Chapter Check Point2.5 Order of Operations with Integers; Mathematical Models2.6 Solving Equations: The Addition and Multiplication Properties of Equality3. Fractions3.1 Introduction to Fractions and Mixed Numbers3.2 Factors and Prime Factorizations; Simplest Form of a Fraction3.3 Multiplying Fractions and Mixed Numbers3.4 Dividing Fractions and Mixed NumbersMid-Chapter Check Point3.5 Adding and Subtracting Like Fractions3.6 Adding and Subtracting Unlike Fractions3.7 Order of Operations with Fractions; Mathematical Models3.8 Ratios, Rates, and Proportions4. Decimals4.1 Introduction to Decimals4.2 Adding and Subtracting Decimals4.3 Multiplying DecimalsMid-Chapter Check Point4.4 Dividing Decimals4.5 Fractions, Decimals, and Order of Operations4.6 Solving and Modeling with Equations Containing Decimals5. Percents5.1 Percents, Decimals, and Fractions5.2 Solving Percent Problems with EquationsMid-Chapter Check Point5.3 Applications of Percent5.4 Simple and Compound Interest6. Geometry6.1 Measuring Length; The English and Metric Systems6.2 Points, Lines, Planes, and Angles6.3 Triangles6.4 Irrational Numbers, Square Roots, and the Pythagorean TheoremMid-Chapter Check Point6.5 Polygons and Perimeter6.6 Area and Circumference6.7 Volume and Surface Area7. Statistics & Probability7.1 Sampling, Frequency Distributions, and Graphs7.2 Measures of Central TendencyMid-Chapter Check Point7.3 Fundamentals of Probability8. Linear Equations and Inequalities in One Variable8.1 The Addition Property of Equality8.2 The Multiplication Property of Equality8.3 Solving Linear Equations8.4 Formulas and PercentsMid-Chapter Check Point8.5 An Introduction to Problem Solving8.6 Problem Solving in Geometry8.7 Solving Linear Inequalities9. Linear Equations in Two Variables9.1 Graphing Linear Equations in Two Variables9.2 Graphing Linear Equations Using Intercepts9.3 Slope9.4 The Slope-Intercept Form of the Equation of a LineMid-Chapter Check Point9.5 The Point-Slope Form of the Equation of a Line10. Systems of Linear Equations10.1 Solving Systems of Linear Equations by Graphing10.2 Solving Systems of Linear Equations by the Substitution Method10.3 Solving Systems of Linear Equations by the Addition MethodMid-Chapter Check Point10.4 Problem Solving Using Systems of Equations10.5 Systems of Linear Equations in Three Variables11. Exponents and Polynomials11.1 Adding and Subtracting Polynomials11.2 Multiplying Polynomials11.3 Special Products11.4 Polynomials in Several VariablesMid-Chapter Check Point11.5 Dividing Polynomials11.6 Long Division of Polynomials; Synthetic Division11.7 Negative Exponents and Scientific Notation12. Factoring Polynomials12.1 The Greatest Common Factor and Factoring by Grouping12.2 Factoring Trinomials Whose Leading Coefficient is 112.3 Factoring Trinomials Whose Leading Coefficient is Not 1Mid-Chapter Check Point12.4 Factoring Special Forms12.5 A General Factoring Strategy12.6 Solving Quadratic Equations by Factoring13. Rational Expressions13.1 Rational Expressions and Their Simplification13.2 Multiplying and Dividing Rational Expressions13.3 Adding and Subtracting Rational Expressions with the Same Denominator13.4 Adding and Subtracting Rational Expressions with Different DenominatorsMid-Chapter Check Point13.5 Complex Rational Expressions13.6 Solving Rational Equations13.7 Applications Using Rational Equations and Proportions13.8 Modeling Using Variation14. Basics of Functions14.1 Introduction to Functions14.2 Graphs of Functions14.3 The Algebra of FunctionsMid-Chapter Check Point14.4 Composite and Inverse Functions15. Inequalities and Problem Solving15.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications15.2 Compound Inequalities15.3 Equations and Inequalities Involving Absolute ValueMid-Chapter Check Point15.4 Linear Inequalities in Two Variables16. Radicals, Radical Functions, and Rational Exponents16.1 Radical Expressions and Functions16.2 Rational Exponents16.3 Multiplying and Simplifying Radical Expressions16.4 Adding, Subtracting, and Dividing Radical ExpressionsMid-Chapter Check Point16.5 Multiplying with More Than One Term and Rationalizing Denominators16.6 Radical Equations16.7 Complex Numbers17. Quadratic Equations and Functions17.1 The Square Root Property and Completing the Square; Distance and MidpointFormula17.2 The Quadratic Formula17.3 Quadratic Functions and Their GraphsMid-Chapter Check Point17.4 Equations Quadratic in Form17.5 Polynomial and Rational Inequalities18. Exponential and Logarithmic Functions18.1 Exponential Functions18.2 Logarithmic Functions18.3 Properties of LogarithmsMid-Chapter Check Point18.4 Exponential and Logarithmic Equations18.5 Exponential Growth and Decay; Modeling Data19. Conic Sections and Systems of Nonlinear Equations19.1 The Circle19.2 The Ellipse19.3 The HyperbolaMid-Chapter Check Point19.4 The Parabola; Identifying Conic Sections19.5 Systems of Nonlinear Equations in Two Variables20. Sequences, Series, and the Binomial Theorem20.1 Sequences and Summation Notation20.2 Arithmetic Sequences20.3 Geometric SequencesMid-Chapter Check Point20.4 The Binomial Theorem