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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