Absolute value inequalities is an extremely difficult question category on the GMAT. Learn how to solve them in this post!

# Archive | *GMAT Algebra

## Manipulating Algebraic Equations and Expressions with Fractions: Systems of Equations

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 […]

## Manipulating Algebraic Equations and Expressions with Fractions: A Word Problem

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 […]

## Manipulating Algebraic Equations and Expressions with Fractions: Equations

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 […]

## Manipulating Algebraic Equations and Expressions with Fractions: Another Example

## Manipulating Algebraic Equations and Expressions with Fractions: Expressions

## Manipulating Algebraic Equations and Expressions with Fractions: Answer Key

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

## Manipulating Algebraic Equations and Expressions with Fractions: A Quick Quiz

## Algebraic Fractions on the GMAT

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 […]

## GMAT Quant: Three Equations, Three Unknowns

First, here are two challenging Quant problems, both involving three equations with three algebraic unknowns. 2a + b + 3c = 6 a – b + 5c = 12 3a + 2b + 2c = 2 1) Given the equations above, what does the product a*b*c equal? (A) 6 (B) -6 (C) 12 (D) -12 […]