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 8th, 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.

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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