Elementary Algebra

Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

Algebra Mathematics

Tác giả: LibreTexts
Nhà xuất bản: LibreTexts
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 81 mục

01: Real Numbers and Their Operations
1.0E: 1.E: Review Exercises and Sample Exam
1.01: Real numbers and the Number Line
1.02: Adding and Subtracting Integers
1.03: Multiplying and Dividing Integers
1.04: Fractions
1.05: Review of Decimals and Percents
1.06: Exponents and Square Roots
1.07: Order of Operations
02: Linear Equations and Inequalities
2.0E: 2.E: Review Exercises and Sample Exam
2.01: Introduction to Algebra
2.02: Simplifying Algebraic Expressions
2.03: Solving Linear Equations- Part 1
2.04: Solving Linear Equations- Part II
2.05: Applications of Linear Equations
2.06: Ratio and Proportion Applications
2.07: Introduction to Inequalities and Interval Notation
2.08: Linear Inequalities (One Variable)
03: Graphing Lines
3.0E: 3.E: Review Exercises and Sample Exam
3.01: Rectangular Coordinate System
3.02: Graph by Plotting Points
3.03: Graph Using Intercepts
3.04: Graph Using the y-Intercept and Slope
3.05: Finding Linear Equations
3.06: Parallel and Perpendicular Lines
3.07: Introduction to Functions
3.08: Linear Inequalities (Two Variables)
04: Solving Linear Systems
4.0E: 4.E: Review Exercises and Sample Exam
4.01: Solving Linear Systems by Graphing
4.02: Solving Linear Systems by Substitution
4.03: Solving Linear Systems by Elimination
4.04: Applications of Linear Systems
4.05: Solving Systems of Linear Inequalities (Two Variables)
05: Polynomials and Their Operations
5.0E: 5.E: Review Exercises and Sample Exam
5.01: Rules of Exponents
5.02: Introduction to Polynomials
5.03: Adding and Subtracting Polynomials
5.04: Multiplying Polynomials
5.05: Dividing Polynomials
5.06: Negative Exponents
06: Factoring and Solving by Factoring
6.0E: 6.E: Review Exercises and Sample Exam
6.01: Introduction to Factoring
6.02: Factoring Trinomials of the Form x bx c
6.03: Factoring Trinomials of the Form ax bx c
6.04: Factoring Special Binomials
6.05: General Guidelines for Factoring Polynomials
6.06: Solving Equations by Factoring
6.07: Applications Involving Quadratic Equations
07: Rational Expressions and Equations
7.01: Simplifying Rational Expressions
7.02: Multiplying and Dividing Rational Expressions
7.03: Adding and Subtracting Rational Expressions
7.04: Complex Rational Expressions
7.05: Solving Rational Equations
7.06: Applications of Rational Equations
7.07: Variation
7.08: 7.E Review Exercises and Sample Exam
08: Radical Expressions and Equations
8.0E: 8.E: Review Exercises and Sample Exam
8.01: Radicals
8.02: Simplifying Radical Expressions
8.03: Adding and Subtracting Radical Expressions
8.04: Multiplying and Dividing Radical Expressions
8.05: Rational Exponents
8.06: Solving Radical Equations
09: Solving Quadratic Equations and Graphing Parabolas
9.0E: 9.E: Review Exercises and Sample Exam
9.01: Extracting Square Roots
9.02: Completing the Square
9.03: Quadratic Formula
9.04: Guidelines for Solving Quadratic Equations and Applications
9.05: Graphing Parabolas
9.06: Introduction to Complex Numbers and Complex Solutions
10: Appendix - Geometric Figures
10.01: Plane
10.02: Solid