Algebra 1 Review Study Guide - Online Course / Basic Overview – EOC & Regents – Common Core

This algebra 1 video tutorial online course provides a nice review for those in high school or those taking college algebra. Whether you’re taking algebra lessons for 9th, 10th grade, or just studying for the EOC or common core regents final exam, this video is for you. It contains plenty of notes, formulas, examples, and practice problems that you can learn from. It is presented in a style of a lecture and it provides a nice introduction / basic overview to algebra 1.

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Here is a list of topics:
1. Basic Arithmetic Operation – Addition, Subtraction, Multiplication, and Division
2. How to Add, Subtract, Multiply, or Divide Two or Three Fractions
3. How to Convert Fractions Into Decimals & Simplifying Complex Fractions
4. Properties of Numbers and Negative Exponents
5. Solving One Step, Two Step, and Multi Step Linear Equations
6. Graphing Linear and Quadratic Equations
7. Slope Intercept Form, Standard Form, and Point Slope Form
8. Parallel and Perpendicular Lines – Writing the Equation of the Line
9. Order of Operations – PEMDAS
10. Solving Systems of Equations – Substitution and Elimination Method
11. How To Factor Binomials and Polynomials
12. Factoring Trinomials with Leading Coefficient of 1 and not 1
13. Natural and Whole Numbers, Integers, Real, Imaginary, Rational and Irrational Numbers
14. Solving Linear Inequalities and Absolute Value Equations
15. Simplifying Rational and Radical Expressions
16. Square Roots and Cube Root Operations
17. Fractional Exponents and Radical Expressions
18. Adding, Subtracting, Multiplying, and Dividing Rational Expressions
19. Domain and Range – Linear, Quadratic / Parabolas, Cubic, Square Root, Radicals, and Rational Functions
20. Vertical Line Test – Relations and Functions
21. Solving Exponential and Logarithmic Equations
22. Expanding, Condensing, and Evaluating Logarithmic Expressions
23. Solving Equations with Multiple Variables
24. Complex Imaginary Numbers – Simplifying, Conjugates and Standard Form – a +bi
25. Parabolas and Quadratic Functions – Vertex vs Standard Form
26. Vertex Coordinate, Axis of Symmetry, Minimum / Maximum, Domain and Range, X and Y-intercepts
27. Vertex Form – Completing the Square
28. Graphing Cubic, Rational and Radical Functions Using Transformations – Horizontal Shift, Vertifical, and Reflection about X and Y axis
29. Quadratic Equation Word Problems – Maximum Profit, Maximum Height of Ball and the time it takes to hit the ground
30. Evaluating Functions Using Synthetic Division – Remainder Theorem
31. Dividing Two Polynomials – Long Division
32. Multiplying and Dividing Variable Expressions
33. Solving Quadratic Equations by Factoring and Using the Quadratic Formula
34. Vertex Formula x = -b/2a
35. Horizontal Assymptote, Vertical Assymptote, Holes, slant / Oblique Assymptote Plus Domain and Range
36. Solving Linear Equations with Fractions and Decimals
37. Cross Multiplication, Keep Change Flip, vs Multiplying Across
38. How to Convert a Decimal to a Fraction
39. f and g composite Functions
40. Factor / Factoring – Difference of Squares Method, By Grouping, and Sum of Cubes Method
41. Graphing Linear Equations and Absolute Value Functions With Transformations

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