Intermediate Algebra

中級代数-主要な用語、主要な概念、演習、模擬試験

Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabus. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in pre-algebra and elementary algebra courses.

✨Content of the Application✨

1 Foundations

Introduction

1.1 Use the Language of Algebra

1.2 Integers

1.3 Fractions

1.4 Decimals

1.5 Properties of Real Numbers

2 Solving Linear Equations

Introduction

2.1 Use a General Strategy to Solve Linear Equations

2.2 Use a Problem Solving Strategy

2.3 Solve a Formula for a Specific Variable

2.4 Solve Mixture and Uniform Motion Applications

2.5 Solve Linear Inequalities

2.6 Solve Compound Inequalities

2.7 Solve Absolute Value Inequalities

3 Graphs and Functions

Introduction

3.1 Graph Linear Equations in Two Variables

3.2 Slope of a Line

3.3 Find the Equation of a Line

3.4 Graph Linear Inequalities in Two Variables

3.5 Relations and Functions

3.6 Graphs of Functions

4 Systems of Linear Equations

Introduction

4.1 Solve Systems of Linear Equations with Two Variables

4.2 Solve Applications with Systems of Equations

4.3 Solve Mixture Applications with Systems of Equations

4.4 Solve Systems of Equations with Three Variables

4.5 Solve Systems of Equations Using Matrices

4.6 Solve Systems of Equations Using Determinants

4.7 Graphing Systems of Linear Inequalities

5 Polynomials and Polynomial Functions

Introduction

5.1 Add and Subtract Polynomials

5.2 Properties of Exponents and Scientific Notation

5.3 Multiply Polynomials

5.4 Dividing Polynomials

6 Factoring

Introduction to Factoring

6.1 Greatest Common Factor and Factor by Grouping

6.2 Factor Trinomials

6.3 Factor Special Products

6.4 General Strategy for Factoring Polynomials

6.5 Polynomial Equations

7 Rational Expressions and Functions

Introduction

7.1 Multiply and Divide Rational Expressions

7.2 Add and Subtract Rational Expressions

7.3 Simplify Complex Rational Expressions

7.4 Solve Rational Equations

7.5 Solve Applications with Rational Equations

7.6 Solve Rational Inequalities

8 Roots and Radicals

Introduction

8.1 Simplify Expressions with Roots

8.2 Simplify Radical Expressions

8.3 Simplify Rational Exponents

8.4 Add, Subtract, and Multiply Radical Expressions

8.5 Divide Radical Expressions

8.6 Solve Radical Equations

8.7 Use Radicals in Functions

8.8 Use the Complex Number System

9 Quadratic Equations and Functions

Introduction

9.1 Solve Quadratic Equations Using the Square Root Property

9.2 Solve Quadratic Equations by Completing the Square

9.3 Solve Quadratic Equations Using the Quadratic Formula

9.4 Solve Quadratic Equations in Quadratic Form

9.5 Solve Applications of Quadratic Equations

9.6 Graph Quadratic Functions Using Properties

9.7 Graph Quadratic Functions Using Transformations

9.8 Solve Quadratic Inequalities

10 Exponential and Logarithmic Functions

Introduction

10.1 Finding Composite and Inverse Functions

10.2 Evaluate and Graph Exponential Functions

10.3 Evaluate and Graph Logarithmic Functions

10.4 Use the Properties of Logarithms

10.5 Solve Exponential and Logarithmic Equations

11 Conics

Introduction

11.1 Distance and Midpoint Formulas; Circles

11.2 Parabolas

11.3 Ellipses

11.4 Hyperbolas

11.5 Solve Systems of Nonlinear Equations

12 Sequences, Series and Binomial Theorem

Introduction

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences and Series

12.4 Binomial Theorem

👉Each Chapter Include:

✔Key Terms

✔Key Concepts

✔Exercises

✔Review Exercises

✔Practice Test