GRE Algebra and Equation Solving

In this module, you'll learn all of the concepts, techniques and strategies needed to answer algebra and equation-solving questions on the GRE. In particular, this module covers:

Simplifying algebraic expressions
Expanding expressions
3 types of factoring
Basic equations
Equations with fractions
Quadratic equations
Systems of equations
Equations with exponents

Equations with square roots
Equations with absolute values
Strange operator questions
3 types of inequalities
The coordinate plane
Equations of lines
Graphs of quadratics

GRE ALGEBRA AND EQUATION SOLVING VIDEOS

1. Lesson: Introduction to Algebra (5:25)
2. Lesson: Simplifying Expressions (5:44)
3. Question: k's on Both Sides (0:54)
4. Question: Evaluate Expression with 37’s (2:12)
5. Question: Powers of 3 and 5 (1:51)
6. Lesson: Expanding Expressions (7:21)
7. Lesson: FOIL Method for Expanding (3:55)
8. Question: Product with Roots (1:55)
9. Question: Products of Binomials (1:40)
10. Lesson: Factoring – Greatest Common Factor (6:01)
11. Lesson: Factoring - Difference of Squares (4:19)
12. Lesson: Factoring - Quadratics (6:39)
13. Lesson: Combining Factoring Techniques (3:46)
14. Lesson: Simplifying Rational Expressions (6:47)
15. Question: Many Variables vs. 2 (1:41)
16. Question: Simplify Rational Expression (1:30)
17. Question: Tricky Simplification (2:49)
18. Question: 50,002 squared (1:32)
19. Lesson: Basic Equation Solving (5:05)
20. Lesson: Eliminating Fractions (7:38)
21. Question: Equation with Many Fractions (1:06)
22. Lesson: Quadratic Equations (8:37)
23. Question: Rational Sum of Solutions (1:43)
24. Lesson: 2 Equations with 2 Unknowns (9:36)
25. Question: 3x + 2y (1:48)
26. Question: System Question (2:43)
27. Lesson: Number of Solutions to a System (3:37)
28. Lesson: 3 Equations with 3 Unknowns (2:26)
29. Lesson: Equations with Square Roots (8:20)
30. Question: Square Root with x and y (1:02)
31. Lesson: Equations and Powers (4:37)
32. Lesson: Absolute Value Equations (3:46)
33. Lesson: Function Notation (5:01)
34. Question: Functions f and g (1:32)
35. Lesson: Strange Operators (2:22)
36. Question: Integers Between x and y (1:21)
37. Lesson: Working with Formulas (4:26)
38. Lesson: Inequalities - Part I (8:41)
39. Question: (x+2)(x-4) (1:07)
40. Question: 2's, x's and an Inequality (1:38)
41. Lesson: Inequalities - Part II (5:54)
42. Lesson: Inequalities and Absolute Value (6:17)
43. Question: Absolute Inequality Starring p (1:30)
44. Lesson: Quadratic Inequalities (5:21)
45. Question: Quadratic Inequality with x (2:18)
46. Lesson: The Something Method (1:42)
47. Lesson: The Coordinate Plane (3:39)
48. Lesson: Distance Between Two Points (3:30)
49. Lesson: Graphing Lines (8:12)
50. Lesson: Vertical and Horizontal Lines (2:54)
51. Lesson: Slope (5:04)
52. Question: Line M's Slope (1:09)
53. Lesson: x-intercepts and y-intercepts (2:57)
54. Lesson: Slope y-intercept Form (2:59)
55. Question: Variable Slope (1:08)
56. Lesson: Writing Equations of Lines (3:29)
57. Lesson: Graphs of Quadratics (1:23)
58. Question: Which Equation is Best? (1:09)
59. Question: Expansion with Roots (1:41)
60. Question: Functions f and g (1:19)
61. Question: Fraction Within a Fraction (1:52)
62. Question: (x-y)/xy (0:45)
63. Question: x/2 and so on (1:50)
64. Question: 2x vs. y+2 (1:05)
65. Question: Fractions with x and y (1:31)
66. Question: f(4)= (1:06)
67. Question: Sum of Solutions (2:11)
68. Question: Tricky Cubic Equation (1:18)
69. Question: Find the Value (2:14)
70. Question: Sum of Squares (0:56)
71. Question: Some Squared vs All Squared (1:03)
72. Question: Use Intercept to Find Slope (2:04)
73. Question: Distance Between Intercepts (2:58)
74. Question: Power with Binomial Product (2:09)
75. Question: Powers of 2 (1:24)
76. Question: Absolute Solution Sum (1:53)
77. Question: Eighth Powers (2:01)
78. Question: Value of x+2y (1:54)

Total viewing time for the GRE Algebra and Equation Solving module: 248 minutes.

Practice from the Official Guide

Practice the skills and GRE-specific strategies you learned in this module by answering the following questions from the Official Guide to the GRE (3rd edition):

117(5), 118(6), 119(7-8), 120(9), 122(1), 123(3), 156(4), 157(6), 158(9), 161(4), 162(8), 162(10), 163(12), 167(8), 261(2-4), 261(6-7), 262(8), 262(17), 263(18-19)

Here are the related questions in the Official Guide to the GRE (1st or 2nd edition):

112(5), 113(6), 114(7), 115(8-9), 117(1), 118(3), 146(4), 147(6), 148(9), 151(4), 152(7), 153(12), 157(8), 158(10), 243(2-4), 244(5-8), 245(17-20), 246(21)

Note: The above practice questions are listed in the form page#(question#). So, for example, 112(5) represents question #5 on page 112.

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GRE Algebra and Equation Solving