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Intermediate Algebra 2e

Second-course algebra centered on functions: quadratic, rational, radical, exponential, and logarithmic functions, plus conics and sequences. Solving these problems develops the symbolic fluency and graph sense that college algebra and precalculus take for granted.

Intermediate Algebra 2e

4,009 exercises70 sections

Status

Sections

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Foundations

378

1.1 Use the Language of Algebra54

1.3 Fractions72

1.5 Properties of Real Numbers124

Solving Linear Equations

373

2.1 Use a General Strategy to Solve Linear Equations69

2.2 Use a Problem Solving Strategy78

2.3 Solve a Formula for a Specific Variable51

2.4 Solve Mixture and Uniform Motion Applications48

2.5 Solve Linear Inequalities29

2.6 Solve Compound Inequalities8

2.7 Solve Absolute Value Inequalities90

Graphs and Functions

203

3.1 Graph Linear Equations in Two Variables11

3.2 Slope of a Line47

3.3 Find the Equation of a Line61

3.4 Graph Linear Inequalities in Two Variables8

3.5 Relations and Functions36

3.6 Graphs of Functions40

Systems of Linear Equations

311

4.1 Solve Systems of Linear Equations with Two Variables68

4.2 Solve Applications with Systems of Equations51

4.3 Solve Mixture Applications with Systems of Equations32

4.4 Solve Systems of Equations with Three Variables32

4.5 Solve Systems of Equations Using Matrices37

4.6 Solve Systems of Equations Using Determinants44

4.7 Graphing Systems of Linear Inequalities47

Polynomials and Polynomial Functions

383

5.1 Add and Subtract Polynomials74

5.2 Properties of Exponents and Scientific Notation84

5.3 Multiply Polynomials82

5.4 Dividing Polynomials143

Factoring

378

6.1 Greatest Common Factor and Factor by Grouping50

6.2 Factor Trinomials85

6.3 Factor Special Products66

6.4 General Strategy for Factoring Polynomials48

6.5 Polynomial Equations129

Rational Expressions and Functions

398

7.1 Multiply and Divide Rational Expressions71

7.2 Add and Subtract Rational Expressions65

7.3 Simplify Complex Rational Expressions45

7.4 Solve Rational Equations51

7.5 Solve Applications with Rational Equations67

7.6 Solve Rational Inequalities99

Roots and Radicals

546

8.1 Simplify Expressions with Roots65

8.2 Simplify Radical Expressions72

8.3 Simplify Rational Exponents55

8.4 Add, Subtract, and Multiply Radical Expressions74

8.5 Divide Radical Expressions45

8.6 Solve Radical Equations60

8.7 Use Radicals in Functions39

8.8 Use the Complex Number System136

Quadratic Equations and Functions

338

9.1 Solve Quadratic Equations Using the Square Root Property61

9.2 Solve Quadratic Equations by Completing the Square44

9.3 Solve Quadratic Equations Using the Quadratic Formula44

9.4 Solve Equations in Quadratic Form33

9.5 Solve Applications of Quadratic Equations34

9.6 Graph Quadratic Functions Using Properties36

9.7 Graph Quadratic Functions Using Transformations7

9.8 Solve Quadratic Inequalities79

Exponential and Logarithmic Functions

318

10.1 Finding Composite and Inverse Functions48

10.2 Evaluate and Graph Exponential Functions26

10.3 Evaluate and Graph Logarithmic Functions65

10.4 Use the Properties of Logarithms67

10.5 Solve Exponential and Logarithmic Equations112

Conics

103

11.1 Distance and Midpoint Formulas; Circles31

11.2 Parabolas4

11.4 Hyperbolas8

11.5 Solve Systems of Nonlinear Equations56

Sequences, Series and Binomial Theorem

280

12.1 Sequences68

12.2 Arithmetic Sequences49

12.3 Geometric Sequences and Series65

12.4 Binomial Theorem98

Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.