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

Two ways to prepare

Beneath each video lesson in this module, we have a Related Resource box with practice questions that test the concepts covered in the video. With this lesson format, you have two learning options:

  • Watch the video lesson first and then reinforce your learning by answering several related questions, or…
  • Tackle the practice questions first and watch the lesson only if you need help with the concepts the practice questions test 

 

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

NOTE: In each of the above video lessons, you’ll find a Related Resources box containing several practice questions that are specifically related to the concepts covered in that lesson (e.g., the lesson on inequalities). Conversely, the practice questions below cover a variety of topics under the umbrella of GMAT Algebra and Equation Solving, and are intended for general reinforcement.

Given this, you may find it beneficial to work on the questions below after you’ve mastered the module content by watching the video lessons and answering concept-specific practice questions from the Related Resources boxes. For more on this learning strategy, visit our course overview page.

Problem Solving (level of difficulty: 350 to 500)

Combining inequality information  (inequalities)

Solutions of finite length  (inequalities)

Cannot be true  (inequalities)

Orderings of squares  (inequalities, powers)

Problem Solving (level of difficulty: 500 to 650)

Lots of brackets  (equations)

Identify the inequality  (inequalities, absolute value) 

f(x)  =  f(1 – x)  (functions)

Must be true  (inequalities, absolute value) 

f(a+b) = f(a) + f(b)  (functions)

Problem Solving (level of difficulty: 650 to 800)

Value of b+c  (fractions, equations)

Integer coordinates  (coordinate plane)

Sum of x and y  (coordinate plane)

Which quadrant?  (coordinate plane)

Possibilities for line l  (coordinate plane)

Data Sufficiency (level of difficulty: 350 to 500)

Between 0.1 and 1.0  (inequalities)

Integers between r and s  (inequalities)

Value of |x+7|  (absolute value, equations)

x = 4y - 4  (equations)

Value of x^2 – y^2  (equations, algebra)

Comparing 1/(x-y) with (y-x)  (inequalities)

Data Sufficiency (level of difficulty: 500 to 650)

Function inequality  (inequalities, powers, functions)

Are x and y both positive?  (inequalities, equations, arithmetic) 

Addition table  (equations, algebra)

Value of xy  (equations)   

Absolute inequality  (inequalities, absolute value) 

y = 3x + 2  (coordinate plane)

Negative slope  (coordinate plane)

Midpoint of line segment CD  (coordinate plane)

Comparing x - 1/16 with 5/8  (inequalities)

(x+5)/(y+5)  (inequalities)

Data Sufficiency (level of difficulty: 650 to 800)

Intersecting the x-axis  (coordinate plane)

Powers and inequalities  (inequalities, powers)

Variables a, b and c  (algebra, equations)

Comparing 3x and 7y  (inequalities)

m + n = 250  (inequalities)

zt < -3  (inequalities)

Is x between x and y?  (inequalities)

 

Practice from the Official Guides

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 (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. 

 

Learning Guide

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