Student Solutions Manual for Pathways to College 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 is energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Developmental Mathematics: Prealgebra, Introductory & Intermediate Algebra All in One; Pathways to College Mathematics; Introductory Algebra for College Students; Intermediate Algebra for College Students; Introductory and Intermediate Algebra for College Students; Algebra for College Students; Thinking Mathematically; College Algebra; Algebra and Trigonometry ; Precalculus; and Trigonometry – all published by Pearson.

Preface
Supplement List
Acknowledgements
To the Student
About the Author



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


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


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


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


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


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


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


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


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