GMAT 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 GMAT. 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 square roots
  • Equations with exponents
  • Equations with absolute value
  • Strange operations
  • 3 types of inequalities
  • The coordinate plane
  • Equations of lines
  • Graphs of quadratics


 

GMAT ALGEBRA AND EQUATION SOLVING VIDEOS

  • 1. Lesson: Introduction to Algebra (5:25)
  • 2. Lesson: Simplifying Expressions (5:44)
  • 3. Question: Evaluate Expression with 37’s (2:12)
  • 4. Lesson: Expanding Expressions (7:21)
  • 5. Lesson: FOIL Method for Expanding (3:55)
  • 6. Question: Product with Roots (1:55)
  • 7. Lesson: Factoring – Greatest Common Factor (5:48)
  • 8. Lesson: Factoring - Difference of Squares (4:19)
  • 9. Lesson: Factoring - Quadratics (6:39)
  • 10. Lesson: Combining Factoring Techniques (3:46)
  • 11. Lesson: Simplifying Rational Expressions (6:51)
  • 12. Question: Simplify a Rational Expression (1:30)
  • 13. Question: Tricky Simplification (2:49)
  • 14. Question: 353 squared (0:45)
  • 15. Lesson: Basic Equation Solving (5:05)
  • 16. Lesson: Eliminating Fractions (7:38)
  • 17. Lesson: Quadratic Equations (8:44)
  • 18. Question: Rational Sum of Solutions (1:43)
  • 19. Lesson: 2 Equations with 2 Unknowns (9:36)
  • 20. Question: System Question (2:43)
  • 21. Lesson: Number of Solutions to a System (3:37)
  • 22. Lesson: 3 Equations with 3 Unknowns (2:28)
  • 23. Lesson: Equations with Square Roots (8:20)
  • 24. Lesson: Equations and Powers (4:37)
  • 25. Lesson: Absolute Value Equations (3:46)
  • 26. Question: Absolute Value Question (3:47)
  • 27. Lesson: Function Notation (5:01)
  • 28. Question: Functions f and g (1:32)
  • 29. Lesson: Strange Operators (2:22)
  • 30. Question: Integers Between x and y (1:21)
  • 31. Lesson: Working with Formulas (4:26)
  • 32. Lesson: Inequalities - Part I (8:41)
  • 33. Question: Is 5-2x Greater than -1? (2:34)
  • 34. Question: 2x over y (3:19)
  • 35. Lesson: Inequalities - Part II (5:54)
  • 36. Question: Find Integer x (2:39)
  • 37. Question: v-w (2:01)
  • 38. Lesson: Inequalities and Absolute Value (6:17)
  • 39. Lesson: Quadratic Inequalities (5:21)
  • 40. Question: Quadratic and Absolute Value (3:03)
  • 41. Lesson: The Something Method (1:42)
  • 42. Question: 1/10 and 1/2 (2:36)
  • 43. Lesson: The Coordinate Plane (3:39)
  • 44. Question: Which Quadrant? (2:48)
  • 45. Lesson: Distance Between Two Points (3:30)
  • 46. Lesson: Graphing Lines (8:12)
  • 47. Lesson: Vertical and Horizontal Lines (2:54)
  • 48. Lesson: Slope (5:04)
  • 49. Lesson: x-intercepts and y-intercepts (2:57)
  • 50. Question: Passing Through Quadrant II (2:07)
  • 51. Lesson: Slope y-intercept Form (2:59)
  • 52. Question: Variable Slope (1:08)
  • 53. Lesson: Writing Equations (3:29)
  • 54. Lesson: Graphs of Quadratics (1:29)
  • 55. Question: Which Equation is Best? (1:09)
  • 56. Question: Is x Less than 0? (1:46)
  • 57. Question: Expansion with Roots (1:41)
  • 58. Question: Functions f and g (1:19)
  • 59. Question: Does xy = Square of x? (2:23)
  • 60. Question: (x-y)/xy (0:45)
  • 61. Question: x/2 and so on (1:50)
  • 62. Question: Is 2x less than y+1? (1:43)
  • 63. Question: f(4)= (1:06)
  • 64. Question: Sum of Solutions (2:11)
  • 65. Question: Value of x in a System (1:35)
  • 66. Question: Line k (1:24)
  • 67. Question: Sum of Squares (0:56)
  • 68. Question: px+qy+r (2:43)
  • 69. Question: Distance Between Intercepts (2:58)
  • 70. Question: Powers of 2 (1:24)
  • 71. Question: Absolute Solution Sum (1:53)
  • 72. Question: Intersection of Lines A and B (3:19)
  • 73. Question: Value of x+2y (1:54)
Total viewing time for the GMAT Algebra and Equation Solving module: 254 minutes.

Additional Practice

Each of the above video lessons features a Reinforcement Activities box containing practice questions that are specifically related to the particular concepts covered in that lesson (e.g., the lesson on Quadratic Equations). On the other hand, the links below will take you to practice questions that test a wide variety of questions under the general topic of Algebra. Given this, you may find it beneficial to work on the questions below AFTER you’ve mastered the content in the Algebra module above.

- Official GMAT questions about General Algebra - Problem Solving

- Official GMAT questions about General Algebra – Data Sufficiency

- Official GMAT questions about the Coordinate Plane - Problem Solving

- Official GMAT questions about the Coordinate Plane - Data Sufficiency

 

Practice from the Official Guides

Official Guide for GMAT Review (2019 edition)

Problem Solving: 6, 14, 29, 33, 43, 46, 47, 52, 54, 66, 67, 73, 85, 89, 90, 95, 100, 101, 102, 104, 115, 116, 122, 129, 138, 155, 168, 180, 183, 184, 185, 193, 196, 215, 218, 222, 226, 228, 230

Data Sufficiency: 255, 256, 257, 262, 272, 278, 281, 282, 286, 289, 301, 310, 313, 318, 322, 347, 350, 355, 359, 361, 364, 365, 366, 372, 373, 376, 377, 382, 383, 391, 401, 404

Official Guide for GMAT Review (2018 edition)

Problem Solving: 16, 19, 25, 27, 31, 33, 35, 49, 50, 51, 56, 65, 67, 72, 77, 78, 83, 88, 91, 93, 101, 104, 109, 110, 111, 117, 127, 128, 138, 155, 168, 180, 183, 184, 185, 193, 196, 216, 218, 222, 226, 228, 230

Data Sufficiency: 247, 252, 264, 274, 275, 279, 281, 291, 303, 306, 307, 315, 318, 320, 347, 350, 352, 355, 359, 361, 364, 365, 366, 372, 376, 377, 382, 383, 391, 401, 404

Official Guide for GMAT Review (2017 edition)

Problem Solving: 8, 21, 22, 27, 31, 33, 45, 46, 49, 57, 59, 63, 66, 67, 70, 74, 76, 78, 84, 92, 93, 94, 104, 110, 121, 137, 143, 152, 163, 170, 171, 172, 175, 183, 187, 188, 191, 211, 217, 222, 224, 227, 229, 230

Data Sufficiency: 235, 245, 246, 247, 261, 268, 271, 272, 273, 278, 279, 288, 292, 293, 301, 305, 307, 316, 335, 338, 345, 349, 352, 355, 357, 374, 379, 384, 398, 399, 401, 404

Official Guide for GMAT Review (2016 edition)

Problem Solving: 5, 14, 16, 17, 21, 25, 44, 42, 47, 53, 54, 60, 61, 63, 66, 68, 75, 82, 83, 84, 92, 97, 107, 121, 126, 145, 153, 154, 155, 159, 168, 173, 174, 178, 179, 187, 206, 210 , 213, 220, 225, 229, 230

Data Sufficiency: 6, 16, 18, 27, 37, 38, 39, 42, 53, 54, 61, 65, 66, 74, 81, 91, 94, 101, 104, 107, 111, 114, 119, 130, 136, 142, 144, 166, 168, 172

Official Guide for GMAT Review (2015/13th edition)

Problem Solving: 7, 14, 28, 37, 42, 43, 45, 47, 50, 54, 55, 61, 69, 70, 72, 73, 99, 102, 120, 129, 130, 134, 143, 149, 150, 156, 157, 164, 169, 187, 191, 192, 199, 202, 206, 209, 211, 216, 220, 223, 229, 230

Data Sufficiency: 1, 11, 13, 17, 36, 41, 48, 50, 53, 60, 67, 74, 82, 85, 86, 92, 96, 97, 99, 104, 118, 129, 136, 155, 156, 160, 162, 164, 167, 171

 

While answering practice questions from the Official Guide for GMAT Review (2019, 2018, 2017, 2016, 2015), you can enter your responses directly into our downloadable Improvement Chart. This will help track your progress and identify areas of weakness. 

 

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