Basic Algebra · 43 lessons

Algebra is arithmetic with letters standing in for some of the numbers. Its rules are the rules of arithmetic, written so that they hold for every number at once.

1. 1Algebraic Notation
2. 2Solving Linear Equations
3. Negative numbers and linear equations (10)
4. 3Index Notation
5. 4Laws of Indices
6. 5The Power of a Power Rule
7. 6Zero and Negative Indices
8. 7Squares and Square Roots
9. Squares in the 50s
10. Squares in the 40s
11. 8Cubes and Cube Roots
12. 9Roots by Prime Factorization
13. 10Powers in the Order of Operations
14. 11Fractional Indices
15. 12Standard Form
16. 13Calculating in Standard Form
17. 14Radicals
18. 15Rationalizing the Denominator
19. 16Adding and Multiplying Radicals
20. 17Substitution
21. 18Like Terms
22. 19Expanding Brackets
23. 20Factoring by Common Factor
24. Add Reversed Numbers
25. Subtract Reversed Numbers
26. 21Factoring by Grouping
27. 22Algebraic Fractions
28. 23Adding and Multiplying Algebraic Fractions
29. 24Recognizing Equivalent Expressions
30. Algebraic expressions (15)
31. 25Equations with Brackets
32. 26Treating a Bracket as a Single Quantity
33. 27Equations with the Unknown on Both Sides
34. 28How Many Solutions an Equation Has
35. 29Choosing a Coefficient to Fix the Solution Count
36. 30Equations with Fractions
37. 31Changing the Subject of a Formula
38. 32Making a Twice-Appearing Letter the Subject
39. 33Forming Equations
40. 34Writing Formulas from Words
41. 35Inequalities
42. 36Two-Step Inequalities
43. 37Integer Solutions of Inequalities
44. 38Forming an Inequality in Two Variables
45. 39Graphing an Inequality in Two Variables
46. 40The Overlap of Two Inequality Regions
47. 41Solving Absolute Value Equations
48. 42Solving Absolute Value Inequalities
49. 43Solution Sets of Inequalities
50. Equations and inequalities (16)