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: Expressions

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: Answer Key

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

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

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 […]

## 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 […]

## Tricky Data Sufficiency Questions: Explanations #3 and #4

Today, we present the explanations to questions #3-4 from our Tricky Data Sufficiency Questions challenge post. You can find the explanations to questions #1-2 here. Let’s get started. Question #3 3. If 2x = 2y – 3z, what is the value of z? (1) y = x + 2 (2) x = y – […]

## Tricky Data Sufficiency Questions: Explanations #1 and #2

Today, we present the explanations for the first two questions in our Tricky Data Sufficiency Questions post. Let’s get started. Question #1 1. What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. […]

## Tricky Data Sufficiency Questions: Answer Key

On Monday, we presented a series of tricky data sufficiency questions, to test whether or not you’re able to steer clear of all the traps. Today, we present the answers to those questions, so that you can check your work. Over the next week or so, we will publish posts with in-depth explanations of how […]