Elementary and Intermediate Algebra for College Students, 5th edition

Allen R. Angel
, Dennis Runde

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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.

ISBN-13: 9780137526222

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

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

11.1 Roots and Radicals
11.2 Rational Exponents
11.3 Simplifying Radicals
11.4 Adding, Subtracting, and Multiplying Radicals
Mid-Chapter Test: Sections 11.1-11.4
11.5 Dividing Radicals
11.6 Solving Radical Equations
11.7 Complex Numbers
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Practice Test
Cumulative Review Test

12. Quadratic Functions

12.1 Solving Quadratic Equations by Completing the Square
12.2 Solving Quadratic Equations by the Quadratic Formula
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
12.5 Graphing Quadratic Functions
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