# Elementary and Intermediate Algebra for College Students,5th edition

• Allen R. Angel Monroe Community College
• Dennis Runde State College of Florida
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Elementary & Intermediate Algebra for College Students makes the math clear, offering superior content written by respected author-educators. Brief sentences and clearly laid-out examples help you develop a true understanding of algebra. A clear, visual presentation provides content in a readable, easy-to-understand format. Examples use color to highlight the variables and important notation to clearly illustrate the solution process. Applications help you make connections between abstract math concepts and the real world. The 5th Edition retains its hallmark clear language while revamping exercise sets and creating innovative resources to give you a comprehensive learning and practice environment. More than any other, the Angel/Runde series of texts fosters the clarity, motivation and understanding needed to master algebra.

### 1. Real Numbers

• 1.1 Study Skills for Success in Mathematics
• 1.2 Problem Solving
• 1.3 Fractions
• 1.4 The Real Number System
• 1.5 Inequalities
• Mid-Chapter Test: Sections 1.1-1.5
• 1.6 Addition of Real Numbers
• 1.7 Subtraction of Real Numbers
• 1.8 Multiplication and Division of Real Numbers
• 1.9 Exponents, Parentheses, and the Order of Operations
• 1.10 Properties of the Real Number System
• Chapter 1 Summary
• Chapter 1 Review Exercises
• Chapter 1 Practice Test

### 2. Solving Linear Equations and Inequalities

• 2.1 Combining Like Terms
• 2.2 The Addition Property of Equality
• 2.3 The Multiplication Property of Equality
• 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
• Mid-Chapter Test: Sections 2.1-2.4
• 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
• 2.6 Formulas
• 2.7 Ratios and Proportions
• 2.8 Inequalities in One Variable
• Chapter 2 Summary
• Chapter 2 Review Exercises
• Chapter 2 Practice Test
• Cumulative Review Test

### 3. Applications of Algebra

• 3.1 Changing Application Problems into Equations
• 3.2 Solving Application Problems
• Mid-Chapter Test: Sections 3.1-3.2
• 3.3 Geometric Problems
• 3.4 Motion, Money, and Mixture Problems
• Chapter 3 Summary
• Chapter 3 Review Exercises
• Chapter 3 Practice Test
• Cumulative Review Test

### 4. Graphing Linear Equations

• 4.1 The Cartesian Coordinate System and Linear Equations in Two Variables
• 4.2 Graphing Linear Equations
• 4.3 Slope of a Line
• Mid-Chapter Test: Sections 4.1-4.3
• 4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
• Chapter 4 Summary
• Chapter 4 Review Exercises
• Chapter 4 Practice Test
• Cumulative Review Test

### 5. Exponents and Polynomials

• 5.1 Exponents
• 5.2 Negative Exponents
• 5.3 Scientific Notation
• Mid-Chapter Test: Sections 5.1-5.3
• 5.4 Addition and Subtraction of Polynomials
• 5.5 Multiplication of Polynomials
• 5.6 Division of Polynomials
• Chapter 5 Summary
• Chapter 5 Review Exercises
• Chapter 5 Practice Test
• Cumulative Review Test

### 6. Factoring

• 6.1 Factoring a Monomial from a Polynomial
• 6.2 Factoring by Grouping
• 6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
• 6.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1
• Mid-Chapter Test: Sections 6.1-6.4
• 6.5 Special Factoring Formulas and a General Review of Factoring
• 6.6 Solving Quadratic Equations Using Factoring
• 6.7 Applications of Quadratic Equations
• Chapter 6 Summary
• Chapter 6 Review Exercises
• Chapter 6 Practice Test
• Cumulative Review Test

### 7. Rational Expressions and Equations

• 7.1 Simplifying Rational Expressions
• 7.2 Multiplication and Division of Rational Expressions
• 7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
• 7.4 Addition and Subtraction of Rational Expressions
• Mid-Chapter Test: Sections 7.1-7.4
• 7.5 Complex Fractions
• 7.6 Solving Rational Equations
• 7.7 Rational Equations: Applications and Problem Solving
• 7.8 Variation
• Chapter 7 Summary
• Chapter 7 Review Exercises
• Chapter 7 Practice Test
• Cumulative Review Test

### 8. Functions and Their Graphs

• 8.1 More on Graphs
• 8.2 Functions
• 8.3 Linear Functions
• Mid-Chapter Test: Sections 8.1-8.3
• 8.4 Slope, Modeling, and Linear Relationships
• 8.5 The Algebra of Functions
• Chapter 8 Summary
• Chapter 8 Review Exercises
• Chapter 8 Practice Test
• Cumulative Review Test

### 9. Systems of Linear Equations

• 9.1 Solving Systems of Equations Graphically
• 9.2 Solving Systems of Equations by Substitution
• 9.3 Solving Systems of Equations by the Addition Method
• 9.4 Solving Systems of Linear Equations in Three Variables
• Mid-Chapter Test: Sections 9.1-9.4
• 9.5 Systems of Linear Equations: Applications and Problem Solving
• 9.6 Solving Systems of Equations Using Matrices
• 9.7 Solving Systems of Equations Using Determinants and Cramer’s Rule
• Chapter 9 Summary
• Chapter 9 Review Exercises
• Chapter 9 Practice Test
• Cumulative Review Test

### 10. Inequalities in One and Two Variables

• 10.1 Solving Linear Inequalities in One Variable
• 10.2 Solving Equations and Inequalities Containing Absolute Values
• Mid-Chapter Test: Sections 10.1-10.2
• 10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
• Chapter 10 Summary
• Chapter 10 Review Exercises
• Chapter 10 Practice Test
• Cumulative Review Test

### 11. Roots, Radicals, and Complex Numbers

• 11.2 Rational Exponents
• Mid-Chapter Test: Sections 11.1-11.4
• 11.7 Complex Numbers
• Chapter 11 Summary
• Chapter 11 Review Exercises
• Chapter 11 Practice Test
• Cumulative Review Test

• 12.1 Solving Quadratic Equations by Completing the Square
• 12.3 Quadratic Equations: Applications and Problem Solving
• Mid-Chapter Test: Sections 12.1-12.3
• 12.4 Factoring Expressions and Solving Equations That Are Quadratic in Form
• 12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable
• Chapter 12 Summary
• Chapter 12 Review Exercises
• Chapter 12 Practice Test
• Cumulative Review Test

### 13. Exponential and Logarithmic Functions

• 13.1 Composite and Inverse Functions
• 13.2 Exponential Functions
• 13.3 Logarithmic Functions
• 13.4 Properties of Logarithms
• Mid-Chapter Test: Sections 13.1-13.4
• 13.5 Common Logarithms
• 13.6 Exponential and Logarithmic Equations
• 13.7 Natural Exponential and Natural Logarithmic Functions
• Chapter 13 Summary
• Chapter 13 Review Exercises
• Chapter 13 Practice Test
• Cumulative Review Test

### 14. Conic Sections

• 14.1 The Parabola and the Circle
• 14.2 The Ellipse
• Mid-Chapter Test: Sections 14.1-14.2
• 14.3 The Hyperbola
• 14.4 Nonlinear Systems of Equations and Their Applications
• Chapter 14 Summary
• Chapter 14 Review Exercises
• Chapter 14 Practice Test
• Cumulative Review Test

### 15. Sequences, Series, and the Binomial Theorem

• 15.1 Sequences and Series
• 15.2 Arithmetic Sequences and Series
• 15.3 Geometric Sequences and Series
• Mid-Chapter Test: Sections 15.1-15.3
• 15.4 The Binomial Theorem
• Chapter 15 Summary
• Chapter 15 Review Exercises
• Chapter 15 Practice Test
• Cumulative Review Test

### Appendices

• A. Review of Decimals and Percent
• B. Finding the Greatest Common Factor and Least Common Denominator
• C. Geometry
• D. Review of Exponents, Polynomials, and Factoring