Strategies, Sample Questions, and Random Ramblings.

by ejkiv

July 19, 2015

Honestly, a rate is exactly the same thing as a ratio. You are simply comparing two numbers with GMAT rates. However, because GMAT rates typically are based on some unit of time the question types are a little different than the ratio question types. Most often this is some output per unit of time: miles per hour meter per second sales per year However, rates can also be between other things: sales per customer window per building customers to table Ratios can be used to show this re...

by ejkiv

July 19, 2015

As we showed in the previous section, ratios can be represented in percent form. As such, GMAT percents are also a way to show the relationship between numbers. First let’s cover the format of percents: Clearly to move from percent to decimal you divide by 100. Also, being able to move interchangeably between fractions, decimals and percents will help tremendously on GMAT percents problems. Personally, I will always try to convert back to fractions as the math tends to be the easiest. As ...

by ejkiv

July 19, 2015

GMAT ratios are no different than other ratios. A ratio is simply a relationship between two numbers. You may see ratios of more than two numbers, and we will look at that soon; however, even that is just a series of relationships. Most often you will see a ratio represented with a colon (:). Yet, a ratio can be set up as a fraction or potentially even a decimal or percent. Shortly we will discuss how being able to move between formats can help cut down on time spent on individual problems. ...

by ejkiv

July 18, 2015

GMAT absolute value, and any absolute value really, is really just a way to measure the distance from zero. And, since distances can only be positive, we can rephrase absolute value as the positive difference from 0. In reality, all you need to know at the core is that the absolute value of a number is the number itself if positive or the number times -1 if it is negative. The absolute value of x is denoted |x| . To illustrate how this works, let’s look at examples: While the first are pr...

by ejkiv

July 18, 2015

In many ways, GMAT inequalities are exactly like equations. However, before we go into solving for inequalities, let’s make sure we understand what exactly all of the symbols mean. When looking at solving for inequalities, you can basically treat the inequality as an equal sign in all but 1 case, which we will cover shortly. So, the following example can be solved exactly as you would before: The one instance that you cannot solve as you would with an equation is when you are multiplyi...

by ejkiv

July 18, 2015

Quadratic equations will come in the form of something that looks like this: In this example, a, b, and c are constants. In an example that is a bit easier to digest, you will see the equation written out like this: In the above example, a=1, b=5 and c=6. You will likely not need to know the formula in its abstract form; however, variables may be in place of a constant and you will have to solve for the variable. When that happens it is very important to know that all of the constants ...

by ejkiv

July 18, 2015

GMAT Systems of equations will come into play when you have multiple variables and multiple equations. The general rule is that in order to solve for a linear equation with N variables you will need to have N different equations to solve for these variables. This rule is not hard and fast, but it is a good place to start. When looking at linear equations, there is only going to be 1 solution for each variable. This is different in quadratic equations, which can have multiple solutions. A...

by ejkiv

July 18, 2015

GMAT Linear equations incorporate everything we discussed and that you practiced in the simplifying expressions section. In this chapter, we are going to discuss solving for single variables in an equation, also know as a linear equation. Equation: A set of two different expressions that have the same value, denoted by an equal sign. There are two types of equations that we will talk about: linear equations and quadratic equations. In a few sections, we will discuss quadratic equations. The...

by ejkiv

July 18, 2015

Now it is time to start putting the pieces together. We have talked about some of the rules of how algebra works, but now we have to start applying some of these things in sets of information given. Expression: a phrase that contains numbers, variables and operators (like, multiply, and divide). Since we already know the order of operations and have had some work with variables, we are just going to jump right into some examples. 6(x-y) + 4x + 5y The first thing to note is that the 6 must...

by ejkiv

July 18, 2015

GMAT Exponents There are a variety of different rules that you are going to have to memorize on exponents. There is no way around this, as the GMAT will find ways to test your knowledge of exponents from all different angles. We will work on giving you the logic as well so that you do understand these rules and move beyond pure memorization. The basic anatomy of an exponent is as follows: In this example, x is called the base and y is called the exponent. Another example is as follows...

by ejkiv

July 18, 2015

The topic of GMAT remainders is not a difficult one and probably terminology that you learned back in second or third grade. You likely learned how to find a remainder through long division, and since we have banned you from long division, we are going to have to learn about remainders just a touch differently. Let’s start by looking at a few things related to remainders so that we have a basis to talk about this topic. *Obviously, you would never write a mixed fraction with a ze...

by ejkiv

July 18, 2015

This section is here to prevent you from making mistakes on the exam. GMAT Decimals will help you with estimation when searching for answer choices and help with timing by finding easier paths to the solution. First things First: Make flashcards of the following and memorize them! Ahem! Seriously. Go make Flash Cards! The only numbers you do not really have to know are the fractions with 7 as a denominator, but might as well be safe. Why are you memorizing all of these fractions?...

by ejkiv

July 18, 2015

On the GMAT fractions are going to make your life easier. Just about every problem will involve fractions on some level. The more comfortable you are with them, the better you will do on this exam. Period. Even though you are not going to see a bunch of problems specifically testing fractions alone, you are going to have plenty of opportunities to use them to make questions easier. Focus on simplification (this is going to remain a theme in this book) - if you see the fraction , simpli...

by ejkiv

July 18, 2015

It is a must that you understand the order of operations. For the most part everyone has a decent understanding of this concept; however it is worth going over and noting the few areas where people make common mistakes. First the order itself: Parenthesis Exponents Multiplication Division Addition Subtraction This is known as either PEMDAS, or sometimes with the short phrase - Please Excuse My Dear Aunt Sally. However, you have to remember it, commit it to memory and work on it so...

by ejkiv

July 16, 2015

Some areas of this section, GMAT Algebra may seem elementary or simple, but do not discount the importance of mastery in these disciplines. Many people I have taught claim to have a firm grasp of these concepts, and then they struggle with problems that test the concepts we are about to go over. As I have mentioned many times thus far, the fundamentals are of the utmost importance to your success on this exam. So many of the questions become easier just by following the right steps. The s...

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