MTH1825: Intermediate Algebra Notes


Copyright

These notes are written by Steven Sy.
All rights are reserved to these notes.


Notes

1.1 Real Numbers
1.2A Fractions Review
1.2B Real Numbers/Signed Numbers
1.3 Powers and Roots
1.4A Properties of Exponents I
1.4B Properties of Exponents II
1.4C Scientific Notation
1.5A Terms and Expressions
1.5B Simplifying Expressions
1.6 Evaluating Expressions/Formulas
2.1A Equations and Checking
2.1B Solving First-Degree Equations
2.1C Special Cases
2.2 Literal Equations
2.3 Absolute Value Equations
2.4 Problem Solving
2.5 More Problem Solving
2.6 Linear Inequalities
2.7A AND or OR
2.7B Triple Inequalities; More AND/OR
2.7C Solving Compound Inequalities
2.8 Absolute Value Inequalities
3.1 Introduction to Lines
3.2 Slope
3.3 Equations of Lines
3.5 Relations and Functions: Basics
3.6 Graphing Functions
4.1 Systems of Linear Equations
4.3 Applications of Systems of Linear Equations
5.1A Polynomials: Basics
5.1B Conjugates, Square Formula, and Powers
5.2 Dividing Polynomials
5.4 Introduction to Factoring
5.5A Factoring Trinomials: An Introductory Discussion
5.5B AntiFOIL
5.5C More on AntiFOIL
5.6 Special Factoring Formulas
5.7A Generalized Factoring I
5.7B Generalized Factoring II
5.8 Polynomial Equations Solvable By Factoring
6.1A Rational Expressions and Rational Functions
6.1B Simplifying/Multiplying/Dividing Rational Expressions
6.2A Finding Common Denominators From Factors
6.2B Adding/Subtracting Rational Expressions
6.3 Complex Fractions
6.4 Rational Equations
6.5A Solving Literal Equations with Rational Expressions
6.5B Applications of Rational Equations
7.1A Rational Exponents I
7.1B Rational Exponents II
7.2A Introduction to Roots
7.2B Roots, Radicals, and Rational Exponents
7.2C Absolute Value and Roots
7.3A Simplifying Roots and Radicals
7.3B Adding and Subtracting Radicals
7.4A Multiplying Radicals
7.4B Square Formula and Powers with Radicals
7.4C Dividing Radicals
7.4D Rationalization
7.5 Radical Equations
8.1A Plus/Minus
8.1B Square Root Principle
8.1C Completing the Square
8.1D Solving Quadratic Equations by Completing the Square
8.2A Quadratic Formula
8.2B Consequences of the Quadratic Formula
8.4 More on Literal Equations; Pythagorean Theorem
8.5 Introduction to Quadratic Functions
9.1 Distance Formula and Circles


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