# College Algebra Introduction Review – Basic Overview, Study Guide, Examples & Practice Problems

Author: The Organic Chemistry Tutor

This college algebra introduction / study guide review video tutorial provides a basic overview of key concepts that are needed to do well in a typical algebra course. High school students taking Algebra 1 and 2 can benefit from this video. It contains plenty of examples and practice problems.

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Here is a list of topics:
1. Properties of Exponents – Multiplication and Division Rules
2. Negative Exponents
3. Adding and Subtracting Polynomial Expressions such as binomials and trinomials
4. Foil Method – Multiplying Two Binomials
5. Solving Linear Equations
6. Solving Absolute Value Equations and Inequalities
7. Graphing Inequalities on a Number Line Using Interval Notation
8. Graphing Linear Equations In Slope Intercept Form and In Standard Form
9. Identifying the Slope and Y-intercept in a linear equation
10. Graphing Absolute Value Equations Using Transformations
11. Graphing Quadratic Functions Using Transformation – Horizontal & Vertical Shift with Reflection over X – axis
12. Solving Quadratic Equations By Factoring
13. Factoring Quadratic Expressions – Difference of Perfect Squares Method
14. Factoring trinomials with a leading coefficient of 1
15. How to factor a trinomial when the leading coefficient is not 1
16. Factoring Polynomials By Grouping
19. Complex Imaginary Numbers
20. Simplifying Radical Expressions With Complex Numbers
21. Composition of Functions
22. Inverse Functions & Graphs
23. Evaluating Functions Using Synthetic Division
24. Solving Systems of Equations Using Elimination and Substitution

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