Question #1: In the equation, can you divide both sides by x? Question #2: In the equation (x – 3)(x + 5) = (2x + 1)(x + 5), can you divide both sides by (x + 5)? Question #3: Question #4: Dividing by a variable or by an algebraic expression The short answer is: […]

# GMAT Algebra

Worried about GMAT algebra? Don't be! With the GMAT algebra tips on this page, you'll find everything you need to know about mastering algebra for GMAT.

Need a refresher on dividing by variables?## Most Popular Posts About GMAT Algebra

The GMAT sometimes features quant questions with strange symbols. These symbols should not fluster you too much as long as you remember that they do not represent standard mathematical notation. Instead, the symbols pertain only to the problem and are defined by the GMAT (or whatever prep material you happen to be using). Let’s have […]

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## Most Recent Posts About GMAT Algebra

A student writes, Sometimes the answer explanation suggests that I clear fractions by multiplying an entire equation by a common denominator. Sometimes the answer explanation suggests that I manipulate just one side of an equation. How do I know which is better? This is a surprisingly subtle question. It turns out that the answer is […]

A student writes, Sometimes the answer explanation suggests that I clear fractions by multiplying an entire equation by a common denominator. Sometimes the answer explanation suggests that I manipulate just one side of an equation. How do I know which is better? This is a surprisingly subtle question. It turns out that the answer is […]

A student writes, Sometimes the answer explanation suggests that I clear fractions by multiplying an entire equation by a common denominator. Sometimes the answer explanation suggests that I manipulate just one side of an equation. How do I know which is better? This is a surprisingly subtle question. It turns out that the answer is […]

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Ready to check your answers from yesterday’s Quick Quiz?

More formally, these are called “rational expressions” in mathematics — “rational” in the sense of “having do with a ratio”, as the word is used in the phrase “rational numbers“. These rational expression appear in some of the most challenging Quant problems on the GMAT. Here are a few practice questions. (A) –2 (B) –1 […]

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Master this fundamental algebraic skill which you will need on test day! First, try these practice problems. 1) (A) (x – 4)(x + 6) (B) (x + 4)(x – 6) (C) (x – 4)(x – 6) (D) (x – 2)(x + 12) (E) (x + 2)(x – 12) 3) If , then |a| + |b| […]

First, try this question: 1) (A) (B) (C) (D) (E) If you find this problem relatively easy, probably most of this post will be for you as well. If this problem makes your head spin, you have found exactly the post you need. Monomials and Binomials First, a review of terms. In algebra, any […]

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Practice questions Let’s start out with a couple practice questions. 2) What is the length of the diagonal of a square with area 48? The geometry of those questions is not too difficult, but the trick is how to handle those radicals. If that befuddles you, this is just the post for you. Distributing […]

Fact: If you have two variables and only one equation, in general you will not be able to solve for the individual values of the variables. You need two separate equations in order to solve for the individual values of each of two variables. (This fact is crucially important on the GMAT Quantitative Section.) More […]

You may remember this formula, one of the sleekest factoring tricks in all of algebra: This formula, called “the difference of two squares” formula, is a favorite of standardized test writers. A simple enough pattern: see if you can detect where it shows up in the following challenging problems. 1) = (A) (B) (C) […]

OG 12th Edition, Problem Solving Practice Problem #149 Here is the problem that appears in the OG: During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of […]