Description

The Angel author team meets the needs of today’s learners by pairing concise explanations with the new Understanding Algebra feature and an updated approach to examples. Discussions throughout the text have been thoroughly revised for brevity and accessibility. Whenever possible, a visual example or diagram is used to explain concepts and procedures. Understanding Algebra call-outs highlight key points throughout the text, allowing students to identify important points at a glance. The updated examples use color to highlight the variables and important notation to clearly illustrate the solution process.

Features

• NEW! Understanding Algebra call-outs highlight key points throughout the text, allowing students to identify the most important topics at a glance.
• NEW! A new, innovative use of color has been created for variables and notation examples to clearly illustrate and simplify the solution process.
• Every student example is followed by a direction to “Now Try” an odd-numbered end-of-section exercise, encouraging immediate practice and reinforcement, making students active learners. The Now Try exercises are color-coded, so students can easily locate the exercises linked to an example for immediate practice.
• Exercise sets gradually increase in difficulty level. Early problems develop the student’s confidence with the material, preparing them for more challenging problems as the exercises progress.
  • NEW! Warm-up Exercises are a great warm-up to the homework or as a five-minute quiz. These emphasize the vocabulary and main concepts from the section, preparing students for the assignment ahead.
  • Practice the Skills exercises provide a wide range of problems for students to master the objectives of the section.
  • Problem Solving exercises help students become better thinkers and problem solvers by using real-world applications of algebra so that students are able to apply what they learn in their daily lives.
  • Concept/Writing exercises require students to write out the answers in words, improving their understanding, comprehension, and critical-thinking skills.
  • Challenge Problems stimulate student thinking, provide additional applications of the concepts, or present material from future sections of the book so that students can see and anticipate the material before it is covered in class.
• Comprehensive end-of-chapter material connects topics and helps students prepare for tests.
  • Chapter Summaries cover important chapter concepts, with examples that illustrate the topics.
  • Chapter Review exercises cover all types of exercises presented in the chapter, and provide references to the section in which the material was initially discussed.
  • Chapter Practice Tests are comprehensive and enable students to see how well prepared they are for an exam.
  • Cumulative Review Tests examine students’ knowledge of material from the beginning of the book through the end of the chapter, helping students review and gauge their progress.

 

New to this Edition

New and Updated Features

• Understanding Algebra call-outs highlight key points throughout the text, allowing students to identify the most important topics at a glance.
• A new, innovative use of color has been created for variables and notation examples to clearly illustrate and simplify the solution process.
• Warm-up Exercises at the beginning of every exercise set are a great warm-up to the homework or as a five-minute quiz. These emphasize the vocabulary and main concepts from the section, preparing students for the assignment ahead.

 

New Student and Instructor Resources

• The Chapter Test Prep Videos are now available on YouTube™ (search for “Angel Intermediate Algebra” and click on “Channels”) and in MyMathLab®.

MyMathLab® Enhancements for Angel

• Increased exercise coverage gives instructors more homework options than ever before.
• Premade homework assignments are available within the homework manager.
• Assignable Chapter Review exercises provide opportunities for review.
• Assignable Study Skills tutorials, videos, and activities help students learn and apply strategies for several major skills.
• Translating Word Problem Animations help students practice with the translation step of solving word problems.
• Assignable Math-Reading Connections video animations and activities help students develop strategies for reading math and approaching problem solving.
• An Interactive English/Spanish glossary offers definitions of important mathematical terms in both English and Spanish.

 

Table of Contents

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

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

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

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

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

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

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

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

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

9.5 Common Logarithms

9.6 Exponential and Logarithmic Equations

9.7 Natural Exponential and Natural Logarithmic Functions

  

10. Sequences, Series, and the Binomial Theorem

10.1 Sequences and Series

10.2 Arithmetic Sequences and Series

10.3 Geometric Sequences and Series

10.4 The Binomial Theorem

 

11. Conic Sections

11.1 The Parabola and the Circle

11.2 The Ellipse

11.3 The Hyperbola

10.4 Nonlinear Systems of Equations and Their Applications