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
17. Solving Quadratic Equations Using the Quadratic Formula
18. Factoring Quadratic Expressions with the Quadratic Formula
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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Video source Youtube

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