Student Solutions Manual for Pathways to College Mathematics

• Preface
• Supplement List
• Acknowledgements
• To the Student
• About the Author

1. Prealgebra Pathways
   • P.1 Whole Numbers
   • P.2 Fractions and Mixed Numbers
   • P.3 Simplifying Fractions; Operations with Fractions
   • P.4 Decimals
     • Mid-Chapter Check Point
   • P.5 Operations with Decimals
   • P.6 Fractions and Decimals
   • P.7 Percents, Decimals, and Fractions
   • Chapter P Summary
   • Review Exercises
   • Chapter P Test
2. Numerical Pathways
   • 1.1 Sets, Venn Diagrams, and Set Operations
   • 1.2 The Integers; Order of Operations
   • 1.3 The Rational Numbers
   • 1.4 The Irrational Numbers
     • Mid-Chapter Check Point
   • 1.5 Real Numbers and their Properties
   • 1.6 Exponents and Scientific Notation
   • 1.7 Arithmetic and Geometric Sequences
   • Chapter 1 Summary
   • Review Exercises
   • Chapter 1 Test
3. Algebraic Pathways: Equations and Inequalities
   • 2.1 Algebraic Expression and Formulas
   • 2.2 Linear Equations in One Variable
   • 2.3 Applications of Linear Equalities
     • Mid-Chapter Check Point
   • 2.4 Ratios, Rates, and Proportions
   • 2.5 Modeling Using Variation
   • 2.6 Linear Equalities in One Variable
   • Chapter 2 Summary
   • Review Exercises
   • Chapter 2 Test
4. Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems
   • 3.1 Graphing and Functions
   • 3.2 Linear Functions and Their Graphs
   • 3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines
     • Mid-Chapter Check Point
   • 3.4 Systems of Linear Equations in Two Variables
   • 3.5 Linear Equalities in Two Variables
   • Chapter 3 Summary
   • Review Exercises
   • Chapter 3 Test
5. Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions
   • 4.1 Operations with Polynomials; Polynomial Functions
   • 4.2 Factoring Polynomials
     • Mid-Chapter Check Point
   • 4.3 Solving Quadratic Equations by Factoring
   • 4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula
   • 4.5 Quadratic Functions and Their Graphs
   • Chapter 4 Summary
   • Review Exercises
   • Chapter 4 Test
6. Geometric Pathways: Measurement
   • 5.1 Measuring Length; The Metric System
   • 5.2 Measuring Area and Volume
     • Mid-Chapter Check Point
   • 5.3 Measuring Weight and Temperature
   • Chapter 5 Summary
   • Review Exercises
   • Chapter 5 Test
7. Geometric Pathways
   • 6.1 Points, Lines, Planes, and Angles
   • 6.2 Triangles
   • 6.3 Polygons, Perimeter, and Tessellations
     • Mid-Chapter Check Point
   • 6.4 Area and Circumference
   • 6.5 Volume
   • 6.6 A STEM Application: Right Triangle Trigonometry
   • Chapter 6 Summary
   • Review Exercises
   • Chapter 6 Test
8. Pathways to Probability: Counting Methods and Probability Theory
   • 7.1 The Fundamental Counting Principle
   • 7.2 Permutations
   • 7.3 Combinations
   • 7.4 Fundamentals of Probability
     • Mid-Chapter Check Point
   • 7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
   • 7.6 Events Involving Not and Or; Odds
   • 7.7 Events Involving And; Conditional Probability
   • Chapter 7 Summary
   • Review Exercises
   • Chapter 7 Test
9. Statistical Pathways
   • 8.1 Sampling, Frequency Distributions, and Graphs
   • 8.2 Measures of Central Tendency
     • Mid-Chapter Check Point
   • 8.3 Measures of Dispersion
   • 8.4 The Normal Distribution
   • Chapter 8 Summary
   • Review Exercises
   • Chapter 8 Test

Answers to Selected Exercises

Subject Index

Index of Applications