Problem Recognition Exercises?Addition and Subtraction of Real Numbers1.6 Multiplication and Division of Real Numbers
Problem Recognition Exercises?Adding, Subtracting, Multiplying, and Dividing Real Numbers1.7 Properties of Real Numbers and Simplifying Expressions
Problem Recognition Exercises?Equations vs.Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear Inequalities
Problem Recognition Exercises?Linear Equations in Two Variables3.5 Point-Slope Formula3.6 Applications of Linear Equations and Modeling
Problem Recognition Exercises?Systems of Equations4.4 Applications of Linear Equations in Two Variables4.5 Linear Inequalities and Systems of Inequalities in Two Variables
Problem Recognition Exercises?Operations on Polynomials
Problem Recognition Exercises?Factoring Strategy6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises? Polynomial Expressions versus Polynomial Equations6.8 Applications of Quadratic Equations
Problem Recognition Exercises?Operations on Rational Expressions7.5 Complex Fractions7.6 Rational Equations
Problem Recognition Exercises?Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and Proportions7.8 Variation
Problem Recognition Exercises?Operations on Radicals8.6 Radical Equations8.7 Rational Exponents
Problem Recognition Exercises?Solving Different Types of Equations9.4 Complex Numbers9.5 Graphing Quadratic Equations9.6 Introduction to Functions
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The worked examples offer a clear, concise methodology that replicates the mathematical processes used in the authors? classroom lectures.
To ensure that the classroom experience also matches the examples in the text and the practice exercises, the authors have included references to even-numbered exercises to be used as classroom examples. These exercises are highlighted in the Practice Exercises at the end of each section.
The chapter openers help students get better results through engaging Puzzles and Games that introduce the chapter concepts and ask `Are you prepared?"
Tip and Avoiding Mistakes Boxes
Tip and Avoiding Mistakes boxes have been created based on the authors? classroom experiences and have been integrated into the worked examples. Thee pedagogical tools will help students get better results by learning how to work through a problem using clearly defined step-by-step methodology.
Problem Recognition Exercises
Problem Recognition Exercises present a collection of problems that look similar to a student upon first glance, but are actually quite different in the manner of their individual solutions. Students sharpen critical thinking skills and better develop their `solution recall? to help them distinguish the method needed to solve an exercise, an essential skill in developmental mathematics.
Student Centered Applications
The Board of Advisors partnered with our authors to bring the best applications from every region in the country. These applications include real data and topics that are more relevant and interesting to today's student.
Each chapter concludes with a Group Activity to promote classroom discussion and collaboration, helping students not only to solve problems but to explain their solutions for better mathematical mastery. Group Activities are great for both full-time and adjunct instructors, bringing a more interactive approach to teaching mathematics. All required materials, activity time, and suggested group sixes are provided in the end-of-chapter material.