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 […]

# Archive | Quantitative

## 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

## GMAT Tuesdays: Problem Solving – Figures Drawn as Accurately as Possible

As you work through problem solving questions, you will see a lot of figures, charts, shapes, and lines! But can you trust them? What can you assume about those shapes? This week, I dive in and answer these questions!

## Tricky Data Sufficiency Questions: Explanations #7 and #8

Today, we’re going to review the last two questions from the Tricky Data Sufficiency Questions practice post. If you’re just tuning in, give the questions a shot, check your answers here, and then review the explanations to questions #1-2, #3-4, and #5-6. Ready? Let’s move along. Question #7 7. If p + q = […]

## Tricky Data Sufficiency Questions: Explanations #5 and #6

Today, we present the explanations for questions #5-6 from our Tricky Data Sufficiency Questions challenge. Be sure to check out the explanations for questions #1-2, and questions #3-4 before moving on to today’s post. Let’s get started. Question #5 5. What is the value of m+n? (1) mn = -8 (2) -2m = n […]