Student Solutions Manual for Intermediate Algebra for College Students

Description

• REVISED! Exercise sets have been revamped in several ways to ensure students have access to optimal practice to build understanding.

• Precise gradation from simple exercises to more complex has been refined in the text, allowing students to begin with basic concepts and work their way to more difficult problems.

• Closer correlation of each odd and even exercise has been ensured, so that exercises are truly paired. Most odds are covered in MyLab Math and can be assigned, while evens can be used for classroom examples.

• A direct matching of the book examples and the corresponding exercises throughout MyLab Math creates a better learning experience for students.

• Now Try Exercises, which follow each example, are enhanced with additional focus on odd-even pairing, ensuring that students work a parallel exercise to reinforce the concepts from the example.

• Clear, visual presentation gives students content in a readable, easy-to-understand format.

• NEW & REVISED! Understanding Algebra call-outs highlight key points throughout the text, allowing students to identify the most important topics at a glance. Many in the text are new or revised for greater clarity, supporting students in understanding the language of algebra.

• Examples use color to highlight the variables and important notation to clearly illustrate the solution process.

• Applications help students make connections between abstract math concepts and the real world.

• Chapter-Opening Applications begin each chapter with a real-life scenario related to that chapter’s material, and is complemented by a new corresponding video in MyLab Math. By the time students complete the chapter, they should have the knowledge to work the application.

Also available with MyLab Math

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted authors’ content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.  Learn more about MyLab Math.

• NEW! Skill Builder assignments offer adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.

Motivate students and support understanding with media:

• An updated video program includes new resources to support and motivate students:

• NEW! Chapter Opener videos highlight how the math students are about to learn in each chapter can be applied in the real world. These videos can be assigned to students for homework, or could even be used to kick off a lecture in the classroom!

• Updated instructional videos walk students through the concepts and examples in a modern presentation format.

• Chapter Test Prep videos provide step-by-step solutions for each exercise in the Chapter Tests, helping students in their most teachable moment – while preparing for a test.

• Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.

Make start-up easier:

• Enhanced Sample Assignments make course set-up easier by providing a starting point for each chapter. Each sample assignment has been carefully curated for this specific text by author Dennis Runde, based on his experience in the classroom, and all have been crafted to include a thoughtful mix of question types. Instructors can copy and assign these in the Assignment Manager in MyLab Math, and modify them as needed.  

• A premade learning path in MyLab Math encourages students to use their resources, such as the eText or videos, before going to their homework.  

1. Basic Concepts
   • 1.1 Study Skills for Success in Mathematics, and Using a Calculator
   • 1.2 Sets and Other Basic Concepts
   • 1.3 Properties of and Operations with Real Numbers
   • 1.4 Order of Operations
     • Mid-Chapter Test: Sections 1.1—1.4
   • 1.5 Exponents
   • 1.6 Scientific Notation
2. Equations and Inequalities
   • 2.1 Solving Linear Equations
   • 2.2 Problem Solving and Using Formulas
   • 2.3 Applications of Algebra
     • Mid-Chapter Test: Sections 2.1—2.3
   • 2.4 Additional Application Problems
   • 2.5 Solving Linear Inequalities
   • 2.6 Solving Equations and Inequalities Containing Absolute Values
3. Graphs and Functions
   • 3.1 Graphs
   • 3.2 Functions
   • 3.3 Linear Functions: Graphs and Applications
   • 3.4 The Slope-Intercept Form of a Linear Equation
     • Mid-Chapter Test: Sections 3.1—3.4
   • 3.5 The Point-Slope Form of a Linear Equation
   • 3.6 The Algebra of Functions
   • 3.7 Graphing Linear Inequalities
4. Systems of Equations and Inequalities
   • 4.1 Solving Systems of Linear Equations in Two Variables
   • 4.2 Solving Systems of Linear Equations in Three Variables
   • 4.3 Systems of Linear Equations: Applications and Problem Solving
     • Mid-Chapter Test: Sections 4.1—4.3
   • 4.4 Solving Systems of Equations Using Matrices
   • 4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule
   • 4.6 Solving Systems of Linear Inequalities
5. Polynomials and Polynomial Functions
   • 5.1 Addition and Subtraction of Polynomials
   • 5.2 Multiplication of Polynomials
   • 5.3 Division of Polynomials and Synthetic Division
   • 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping
     • Mid-Chapter Test: Sections 5.1—5.4
   • 5.5 Factoring Trinomials
   • 5.6 Special Factoring Formulas
   • 5.7 A General Review of Factoring
   • 5.8 Polynomial Equations
6. Rational Expressions and Equations
   • 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
   • 6.2 Addition and Subtraction of Rational Expressions
   • 6.3 Complex Fractions
   • 6.4 Solving Rational Equations
     • Mid-Chapter Test: Sections 6.1—6.4
   • 6.5 Rational Equations: Applications and Problem Solving
   • 6.6 Variation
7. Roots, Radicals, and Complex Numbers
   • 7.1 Roots and Radicals
   • 7.2 Rational Exponents
   • 7.3 Simplifying Radicals
   • 7.4 Adding, Subtracting, and Multiplying Radicals
     • Mid-Chapter Test: Sections 7.1—7.4
   • 7.5 Dividing Radicals
   • 7.6 Solving Radical Equations
   • 7.7 Complex Numbers
8. Quadratic Functions
   • 8.1 Solving Quadratic Equations by Completing the Square
   • 8.2 Solving Quadratic Equations by the Quadratic Formula
   • 8.3 Quadratic Equations: Applications and Problem Solving
     • Mid-Chapter Test: Sections 8.1—8.3
   • 8.4 Writing Equations in Quadratic Form
   • 8.5 Graphing Quadratic Functions
   • 8.6 Quadratic and Other Inequalities in One Variable
9. Exponential and Logarithmic Functions
   • 9.1 Composite and Inverse Functions
   • 9.2 Exponential Functions
   • 9.3 Logarithmic Functions
   • 9.4 Properties of Logarithms
     • Mid-Chapter Test: Sections 9.1—9.4
   • 9.5 Common Logarithms
   • 9.6 Exponential and Logarithmic Equations
   • 9.7 Natural Exponential and Natural Logarithmic Functions
10. Conic Sections
    • 10.1 The Parabola and the Circle
    • 10.2 The Ellipse
      • Mid-Chapter Test: Sections 10.1—10.2
    • 10.3 The Hyperbola
    • 10.4 Nonlinear Systems of Equations and Their Applications
11. Sequences, Series, and the Binomial Theorem
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences and Series
    • 11.3 Geometric Sequences and Series
      • Mid-Chapter Test: Sections 11.1—11.3
    • 11.4 The Binomial Theorem

Appendix: Geometric Formulas

About the approach

Revisions to the text ensure that students build a solid understanding of algebra through clear examples and sentences, while getting balanced and robust practice.

• New and revised Understanding Algebra call-outs highlight key points throughout the text, allowing students to identify the most important topics at a glance. Many in the text are new or revised for greater clarity, supporting students in understanding the language of algebra.
• Exercise sets have been revamped in several ways to ensure students have access to optimal practice to build understanding. Exercise sets include Warm-Up Exercises, Practice the Skills, and Problem Solving. Many exercise sets also contain Concept/Writing Exercises, Challenge Problems, and/or Group Activities. All sets have been revised to provide a better experience for students in these ways:
• Precise gradation from simple exercises to more complex has been refined in the text, allowing students to more begin with basic concepts and work their way into more difficult problems.
• Revisions more closely correlate each odd and even exercise, so that exercises are truly paired. Most odds are covered in MyLab™ Math and can be assigned, while evens could be used for classroom examples.
• A direct matching of the book examples and the corresponding exercises in MyLab Math creates a better experience throughout for students.
• Now Try Exercises,which follow each example, are enhanced with additional focus on odd-even pairing, ensuring that students work a parallel exercise to reinforce the concepts from the example.

About the MyLab Math course

• New Skill Builder assignments offer adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.

• An updated video program includes new resources to support and motivate students:
• New Chapter Opener videos highlight how the math students are about to learn in each chapter can be applied in the real world. These videos can be assigned to students for homework, or could even be used to kick off a lecture in the classroom!
• Updated instructional videos walk students through the concepts and examples in a modern presentation format. 

• Enhanced Sample Assignments make course set-up easier by providing a starting point for each chapter. Each sample assignment has been carefully curated for this specific text by author Dennis Runde, based on his experience in the classroom, and have been crafted to include a thoughtful mix of question types. Instructors can copy and assign these in the Assignment Manager in MyLab Math, and modify them as needed.  
• A premade learning path in MyLab Math encourages students to use their resources, such as the eText or videos, before going to their homework.  

Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 – 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.

Dennis Runde received his BS and MS in mathematics from the University of Wisconsin–Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for twenty-seven years at State College of Florida-Manatee-Sarasota. His interests include reading, history, fishing, trivia contests, and cooking. He and his wife Kristin are the proud parents of their three sons – Alex, Nick, and Max.