How to solve/check equations

Today I will teach you how to solve/check equations.We will learn how to check first. Checking equations is way easier than solving them because the answer is already there. Just plug in your answer from the solve for the variable. But you still have to solve a problem. These are examples of checking equations.

Addition

x+5=12

7+5=12

12=12 (normally there would be a check mark above the equal sign)

x=7

Subtraction

7=y-5

7=12-5

7=7

y=12

Multiplication and division are a little bit more difficult.

Multiplication

3z=12 (3z is 3 times z)

3x4=12 (Instead of an "x" to multiply, a dot would be there)

12=12

z=4

Division

v divided by 3=4 (Normally a division problem would be written like a fraction)

12 divided by 3=4

4=4

v=3

It is very complex to do, so be very careful on how you do it. Now it is time to solve equations. Solving equations are very, very hard at first. Just do not confuse the solve with the check. This can cause you to get the wrong answer. Solving is just doing the opposite operation of a number. These are examples of solving problems.

Addition

x+10=17

-10 -10

x=7

Subtraction

y-12=5

+12 +12

y=17

Multiplication and division are hard to solve with. These are a couple of examples of those operations.

Multiplication

8v=16

divided by 8 8(supposed to be centered)

v=2

Division

v divided by 8x8= 2x8

v=16

(bold means work for this problem)


Hard at first, but a little bit easier along the way. This is very important to do later on. This is a few vocabulary words that are very important.



Variable-a random number, usually represented by a letter. x+5=9

Operation-addition, subtraction, multiplication, and division. +, -, x(this is a basic multiplication sign, but in problems it is written as a dot), (there is no division sign, but a basic division sign would be a minus sign with two dots above and below it. Normally written as a fraction.)

If you want to try it out yourself, click http://go.hrw.com/math/midma/gradecontent/loadlesson.html?course=c2&chapter=2&lesson=10&SE=1&sz_audio=1&calc=1&state=xx&actCourse=0 for the check and http://go.hrw.com/math/midma/gradecontent/loadlesson.html?course=c2&chapter=2&lesson=11&SE=1&sz_audio=1&calc=1&state=xx&actCourse=0 for the solve.That is the end of the lesson.

WAY Better Blog (sorry)

About a week ago my previous blog grade came in and i did WAY better than before! That means a happy me!:)Although I'm sorry because I haven't been posting lately(I am limited to how long I go on now).Anyways, I am very happy about my blog score!

Factors and Greatest Common Factor (GCF)

Doing factors are very easy if you really know your multiplication. The process of "factor trees" or mainly called prime factorization. Prime factorization takes one large number and divide it into smaller numbers. Then take those smaller numbers and divide them into even smaller numbers. Then if you can take those numbers and divide into smaller numbers. If you can't divide those numbers they are prime and the tree ends. This is an example of one.

80
10 8
5 2 2 4
5 2 2 2 2
(To make the primes look better, make the most shown number and make it into exponents to make it look like this, 5 x 24)Pretty easy once you know it well. Now I will teach you how to do the GCF, or greatest common factor. The greatest common factor is the greatest common factor between two or more numbers. Pretty confusing, but it should look like this.

List all factors of both numbers
24:1,24,2,12,3,8,4,6
48:1,48,2,24,3,16,4,12,6,8
GCF:24

or

24
48:1,48,2,24,3,16,4,12,6,8
Take the biggest number and find the factors of that number.
Then see if the biggest factor goes in the other number(s)

Quite simple if you know your multiplication. Here is some key vocabulary.

Factor: A multiplier that multiplys another number.
Prime Factorization: Taking a big number and finding the prime factors.
Greatest Common Factor: The greatest factor shared between two or more numbers.

For more examples or problems on how to do GCF, go to http://go.hrw.com/math/midma/gradecontent/loadlesson.html?course=c2&chapter=2&lesson=5&SE=1&sz_audio=1&calc=1&state=xx&actCourse=0

For more examples or problems on Prime Factorization, go to http://go.hrw.com/math/midma/gradecontent/loadlesson.html?course=c2&chapter=2&lesson=4&SE=1&sz_audio=1&calc=1&state=xx&actCourse=0

For reasons why to do Prime Factorization, go to http://www.mathmojo.com/interestinglessons/why_learn_prime_factors/why_learn_prime_factors.html

(I would use a link to show you why GCF is used, but there are no examples, sorry)

Both very simple, but very hard if being used on bigger numbers. See you later!

Until the Summer

The big conversion from pre blog to Club Penguin blog will happen this summer(whenever school is over)until then, THIS IS A MATH BLOG!

Good News Yet Bad News

Ill do the bad news first, I did my first REAL blog entry a few days ago and I did horrible. But the good news is that my birthday is in 2 days, so happy birthday to me!