Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

I have just started studying for my GMAT in the last couple days and Algebra makes my eyes glaze over. I know I need to master the basic principles of Algebra but I am having such a hard time.

I keep looking over and over at the basic principles that were compiled on the site and I think my brain only can see the connection after seeing several examples of a principle. _____________________________ The sum of N consecutive integers: S=(n+n+N-1)*N/2=n*N+N*(N-1)/2 S/N=n+(N-1)/2 If N is odd, then S would be a multiple of N. If N is even, then S would not be a multiple of N.

Can anyone give an example of this?

____________________________

To find the GCF/LCM, you will need to do prime-factorization. This means reducing a number to its prime-factor form.

E.g. 1

GCF/LCM of 4,18

4 = 2*2 18= 2*3*3 To find the GCF, take the multiplication of the common factors. In this case, GCF = 2. To find the LCM, take the multiplication of all the factors. In this case, LCM=2*2*3*3=36

E.g. 2

GCF/LCM of 4,24

4 = 2*2 24 = 2*2*2*3 GCF = 2*2 = 4 (Why is this GCF 4 when in EG 1 the GCF is 2?) LCM = 2*2*2*3 = 24 ____________________________

If anyone has examples on the following principles that would help me out alot!

1)(n!)^2 > n^n

Inequalities 2)You need to flip signs when 1 is divided by both side: 1/a<1/b, 1/c<1/d

3)Deal with negative numbers: -a<-b<0, -c<-d<0 Then -a-c<-b-d<0 How does this Convert into this? -a-(-d)<-b-(-c)

Cancelling Common Terms Example:

x(x-2)=x You can't cancel out the x on both side and say x=3 is the solution. You must move the x on the right side to the left side. x(x-2)-x=0 x(x-2-1)=0 The solutions are: x=0 and x=3

How does -x all of a sudden turn into -1? How would this example fit into a GMAT question?

I have more questions but dont have enough time to post them. I feel that there are so many assumptions that I am suppose to know when math is suppose to be pretty straight forward!!

1. Consecutive integers For instance, you have a set of numbers: 4,5,6. The sum is 15, it is divisible by 3 (we have 3 numbers). Or consider this set: 5,6,7,8,9. The sum is 35, it's divisible by 5. Now consider these sets: 4,5,6,7. The sum is 22, it's not divisible by 4. Or 5,6,7,8. S=26, again, not divisible by 4. 2. Prime-factorization. In the first example the only common factor of 4 and 18 is 2^1. ( it's a factor of BOTH 4 and 18) In the second example common factor of 4 and 24 is 2^2 (BOTH 4 and 24 are divisible by 4, we need to find maximum factor which divides evenly into both numbers) Venn diagrams can be helpful there. For instance, we have 20 and 35. Draw 2 cirles, in one we have 2,2,5 (these are factors of 20), in other we have 5,7 (factors of 35). The only common factor is 5 - that's where our circles overlap. To find LCF we simply get ALL factors of BOTH numbers - 2,2,5,7. That's 140. 3. n! means factorial - the product of all numbers lower than n and n. For example 4!=1*2*3*4=24. 24^2 =576. Now, 4^4 (n=4 in our case) equals 256, that is less than 576. The bigger n we get, the bigger gap we have. 4. For example, we have 2 and 3. 2 is clearly less than 3, however, when we divide by 1 we change the sign: 1/2>1/3 (since we divide by LESSer amount). Always look at the signs though (whether numbers are positive or negative) 5. "-a<-b<0, -c<-d<0 Then -a-c<-b-d<0" Hm, didn't get this part but since you are asking another issue, consider this example: -2-5<-1-3, now, we are carrying over -5 and -3: -2-(-3)<-1-(-5) => 1<4. When we are doing this we must change the sign as we did in this example. Also notice that subtracting negative number equals to adding positive number. 6. Cancelling common terms. Actually you can meet similar equations in the real exam, that's a 500-600 level question I suppose. I've seen similar problems in OG. Firstly, we cannot divide by x because by doing that we can incorrectly cross out one of the solutions (0 in our example). After moving x to the left side we can notice that x is a common factor of x(x-2) and x, i.e. both of these are divisible by x. So we can factor x out: x(x-2-1). When we divide x(x-2) by x we get (x-2) and when we divide x by x we get 1, minus remains. That's it I believe. If I was wrong somewhere, correct me.

1. Consecutive integers For instance, you have a set of numbers: 4,5,6. The sum is 15, it is divisible by 3 (we have 3 numbers). Or consider this set: 5,6,7,8,9. The sum is 35, it's divisible by 5. Now consider these sets: 4,5,6,7. The sum is 22, it's not divisible by 4. Or 5,6,7,8. S=26, again, not divisible by 4. 2. Prime-factorization. In the first example the only common factor of 4 and 18 is 2^1. ( it's a factor of BOTH 4 and 18) In the second example common factor of 4 and 24 is 2^2 (BOTH 4 and 24 are divisible by 4, we need to find maximum factor which divides evenly into both numbers) Venn diagrams can be helpful there. For instance, we have 20 and 35. Draw 2 cirles, in one we have 2,2,5 (these are factors of 20), in other we have 5,7 (factors of 35). The only common factor is 5 - that's where our circles overlap. To find LCF we simply get ALL factors of BOTH numbers - 2,2,5,7. That's 140. 3. n! means factorial - the product of all numbers lower than n and n. For example 4!=1*2*3*4=24. 24^2 =576. Now, 4^4 (n=4 in our case) equals 256, that is less than 576. The bigger n we get, the bigger gap we have. 4. For example, we have 2 and 3. 2 is clearly less than 3, however, when we divide by 1 we change the sign: 1/2>1/3 (since we divide by LESSer amount). Always look at the signs though (whether numbers are positive or negative) 5. "-a<-b<0, -c<-d<0 Then -a-c<-b-d<0" Hm, didn't get this part but since you are asking another issue, consider this example: -2-5<-1-3, now, we are carrying over -5 and -3: -2-(-3)<-1-(-5) => 1<4. When we are doing this we must change the sign as we did in this example. Also notice that subtracting negative number equals to adding positive number. 6. Cancelling common terms. Actually you can meet similar equations in the real exam, that's a 500-600 level question I suppose. I've seen similar problems in OG. Firstly, we cannot divide by x because by doing that we can incorrectly cross out one of the solutions (0 in our example). After moving x to the left side we can notice that x is a common factor of x(x-2) and x, i.e. both of these are divisible by x. So we can factor x out: x(x-2-1). When we divide x(x-2) by x we get (x-2) and when we divide x by x we get 1, minus remains. That's it I believe. If I was wrong somewhere, correct me.

I really appreciate you taking the time to explain these. All of these were from the Basic Math Principles on the forum. I understand all the concepts except for #6

x(x-2)=x You can't cancel out the x on both side and say x=3 is the solution. You must move the x on the right side to the left side. x(x-2)-x=0 x(x-2-1)=0 The solutions are: x=0 and x=3

How does -x all of a sudden turn into -1? How would this example fit into a GMAT question?

I have more questions but dont have enough time to post them. I feel that there are so many assumptions that I am suppose to know when math is suppose to be pretty straight forward!!

Thanks for the help

DaoEmo wrote:

6. Cancelling common terms. Actually you can meet similar equations in the real exam, that's a 500-600 level question I suppose. I've seen similar problems in OG. Firstly, we cannot divide by x because by doing that we can incorrectly cross out one of the solutions (0 in our example). After moving x to the left side we can notice that x is a common factor of x(x-2) and x, i.e. both of these are divisible by x. So we can factor x out: x(x-2-1). When we divide x(x-2) by x we get (x-2) and when we divide x by x we get 1, minus remains. That's it I believe. If I was wrong somewhere, correct me.

You can actually cross out one of the solutions IF you keep in mind that zero is one of the two solutions to the equation. There is no mathematical error there, however, if you are a beginner in math factoring would be a better way solve the problem since you don't risk getting the wrong answer.

The equation x(x-3)=0 tells us that there are two solutions that will hold the equation true: 1. x = 0, if x = 0 then 0(0-3) = 0 2. x=3 then 3(3-3) = 0 => 3*0 = 0

Factoring does not take that much more time so I strongly recommend it if you are uncertain.
_________________

You're probably having a difficult time with algebra because it's your weak point. The best way to improve includes (1) incorporating solid guidebooks into your study plan, and (2) reinforcing the concepts learned with lots of high-quality math problems.

I urge you to study the first three math books from the Manhattan series. If necessary, read those books twice - especially the Number Properties guide. For question practice, use the OG material alongside the MGMAT books. This will help. Other good sources include GMATClub tests and Jeff Sackmann's math sets. Make sure to fully understand the explanation to each math question that you encounter. Overtime, you will improve your score.
_________________

Word of advice: Do not try to 'learn' algebra. No rules will help you get a good score. They may help you get 450-500 but nothing beyond. You have to understand what you are doing and why you are doing it. The only reason you have lists of rules or principles is to remind you of concepts you already know. Get some good basic algebra book first and practice the concepts. Thereafter, everything will make much more sense. Also, some of the principles you mentioned are not basic. Their relevance for GMAT is sketchy at best.

'If N is odd, then S would be a multiple of N. If N is even, then S would not be a multiple of N.'

(n!)^2 > n^n (which of course doesn't work for all values of n)

GMAT doesn't expect you to know these cold... Of course, it expects you to figure things out if need be by using a few examples or building on your basic concepts... But, remember, GMAT is not a test of knowledge. It is a test of application of basic concepts.

Basic concepts are: The sum of first n consecutive integers is n(n+1)/2 n! = 1.2.3.4..n n^n = n.n.n.n... n times etc Focus on these and try to apply these.
_________________

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...