These texts, in pdf format, provide multiple approaches for teaching and learning algebra, from the beginning into intermediate. Algebra is an important life skill worth understanding well, as it is the basis of mathematical modeling used in applications found in all disciplines. It is critically important because it is the gateway to higher-level mathematics. Algebra takes the student beyond basic math and s the path to start fully exploring the world around us, as we use it to analyze and understand many types of real-world phenomena. It reinforces logical thinking and is useful in every day life, especially when analyzing current information in the news, such as all of the data lately about coronavirus.
This textbook is 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. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. It has exercises with answers, and also sample exams. A
larger file-size version with higher font is also available.
Chapter 1: Real Numbers and Their Operations
Chapter 2: Linear Equations and Inequalities
Chapter 3: Graphing Lines
Chapter 4: Solving Linear Systems
Chapter 5: Polynomials and Their Operations
Chapter 6: Factoring and Solving by Factoring
Chapter 7: Rational Expressions and Equations
Chapter 8: Radical Expressions and Equations
Chapter 9: Solving Quadratic Equations and Graphing Parabolas
Appendix: Geometric Figures
Beginning Algebra Workbook
Intermediate Algebra Workbook
Practice Problems for Beginning and Intermediate Algebra
Solutions to Practice Problems for Beginning and Intermediate Algebra
Chapter 0: Pre-Algebra
Chapter 1: Solving Linear Equations
Chapter 2: Graphing
Chapter 3: Inequalities
Chapter 4: Systems of Equations
Chapter 5: Polynomials
Chapter 6: Factoring
Chapter 7: Rational Expressions
Chapter 8: Radicals
Chapter 9: Quadratics
Chapter 10: Functions
Answers
Introduction
II. Simple Equations
III. Positive and Negative Numbers
IV. Addition and Subtraction
V. Multiplication and Division
VI. Special Rules in Multiplication and Division
VII. Factorsh
VIII. Common Factors and Multiples
IX. Fractions
X. Fractional Equations
XI. Simultaneous Equations of the First Degree
XII. Quadratic Equations
XIII. Arithmetical Progression
XIV. Geometrical Progression
XV. Square and Cube Roots
Answers
Outline Of Elementary And Intermediate Algebra
Order Of Operations, Evaluation, Parentheses
Special Rules Of Multiplication And Division
Cases In Factoring
Factoring
Highest Common Factor And Lowest Common Multiple
Fractions
Complex Fractions And Fractional Equations
Simultaneous Equations And Involution
Square Root
Theory Of Exponents
Radicals
Miscellaneous Examples, Algebra To Quadratics
Quadratic Equations
The Theory Of Quadratic Equations
Outline Of Simultaneous Quadratics
Simultaneous Quadratics
Ratio And Proportion
Arithmetical Progression
Geometrical Progression
The Binomial Theorem
Miscellaneous Examples, Quadratics And Beyond
College Entrance Examinations 58-80
1 From Arithmetic To Algebra
2 The Making of Algebras
3 Simultaneous Problems
4 Partial Solutions…Elements of Complexity
5 Mathematical Certainty
6 The First Hebrew Algebra
7 How to Choose Our Hypotheses
8 The Limits of the Teacher’s Function
9 The Use of Sewing Cards
10 The Story of a Working Hypothesis
11 Macbeth’s Mistake
12 Jacob’s Ladder
13 The Great x of the World
14 Go Out of My Class-Room
15 Square Root of Negative 1
16 Infinity
17 From Bondage to Freedom
Complex Numbers
Theorems on Roots of Equations
Constructions with Ruler and Compasses
Cubic and Quartic Equations
The Graph of an Equation
Isolation of Real Roots
Solution of Numerical Equations
Determinants; Systems of Linear Equations
Symmetric Functions
Elimination, Resultants And Discriminants
Fundamental Theorem of Algebra
Answers
Algebraic Notation
Algebraic Expressions
Operations
Factors And Multiples
Fractions
Equations
The algebra textbooks above complement our other algebra posts:
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