814 Math Blog (2015)

So in this case, the constant comes before the co-efficient but this can easily be flipped and will not cause any problems.

5 + 4n = 29

4n + 5 = 29

Next, you need to isolate the co-efficient and the variable so in this case you have to subtract 5 in order to isolate it since you're cancelling out the positive 5.

4n + 5-5 = 29 - 5

4n = 24

-         -

4        4

n = 6

Remember to always balance out your equation so if you've subtracted 5 from one side you have to subtract 5 on the opposing side.Continue on with the the problem and do the math, 29 - 5 equals 24 and you're left with 4n = 24. This then leads you to the division part; 4n divided by 4 = n and 24 divided by 4 = 6. And don't forget your 'let' statement !!

let n = 64n + 5 = 24

4 (6) = 24

     24 = 24

                                                                                                                                                                   

one positive zayn + one positive girlfriend = one negative dane or two whatever??

(if you're actually here for help on two step equations, hope this kinda helps.)

#5)   -7y + 2 = -75      - first make sure you have it in order                                                                                                  (coefficient/variable, constant and answer)

• You have to isolate the variable. 
• first you have to get rid of  the constant so you use the opposite operation so you can cancel it out.
• than you have to get rid of the coefficient to do that you have to use the opposite operation.
• than you have to verify to check. 

https://www.youtube.com/watch?v=9ITsXICV2u0

Here is an example of to solve a two step algebraic equation.

3x+ 6 = 15

The blue is the coefficient.
The green is the variable.
the red is the constant.
the pink is the answer.

First you have to isolate the constant by doing the opposite to each side to balance it out. so in this equation in order to isolate the constant which is positive six you have to put a negative six beside it and to balance it out you have to put a negative six beside the answer as well. 

3x +6 - 6 = 15 - 6

Then you have to solve the part that is highlighted. You have to subtract positive six by six and the answer is zero. because the answer is zero you don't have to write it because it wont make a difference. then after that you have to subtract positive fifteen by six and the answer is positive nine. and then you re write the question.

3x +6 - 6 = 15 - 6
3x = 9

After rewriting the question in order to get the answer you must divide three x by three and nine by three to balance it out. and now all you have to do is solve one step algebraic equation.

3x +6 - 6 = 15 - 6
3x = 9
3x = 9
3      3

After that you have to divide three x by three and nine by three. in order to get the answer you have to divide three by three and the answer is one but you don't have to write that because there already is a one beside the variable it is just not written there because it is not needed so you just write x equals. and then after that you have to divide nine by three and the answer is three so you write down three.

3x +6 - 6 = 15 - 6
3x = 9
3x = 9
3      3
x = 3


  

•  finding the numbers' lowest terms
• (-1)  =          7                                                                                                                                                       5
• combining like terms
• negative divided by positive = negative
• negative divided by negative = positive
• positive divided by positive = positive

Ex.
    On the first down, a football team had a loss of 8yd. After two downs, the team had an over all gain of 20yd. How many yards were gained on a second?

     The team gained 28 yards on the second down.
                                    Let y= yard gained on 2nd down
   8yd loss (-8)
 20yd gain after two downs       First 2nd total yards
                                                 -8+y=20
                                                   -8+8+y=20+8
                                                    y=28

Hi it’s Joanna and I am going to help you with problem solving. I am going to help you with 2 of the questions that were for homework this weekend. So the first one that I am going to help you with is:

On the first down, a football team had loss of 8 yd. after two downs; the team had an overall gain of 20 yd. How many yards were gained on the second down?

 The first thing you have to do is read the question 3 times so that you can understand what you have to do with the question.  After reading it 3 times find  where the question is by underlining it

On the first down, a football team had loss of 8 yd. after two downs; the team had an overall gain of 20 yd. How many yards were gained on the second down?

Now that you know what the question is. Find another way to say that by using a blank for the answer. Like this

The team gained ____ yards on the second down

What are some other important words? After finding it Highlight them

On the first down, a football team had loss of 8 yd. after two downs; the team had an overall gain o f 20 yd. How many yards were gained on the second down?

Now we need to make the let statement

Let y= yards gained on the second down



Now that you know the answer is 28 you can now fill in the blank that you left in the beginning

The team gained 28 yards on the second down



Ben and Jerry together own 24 comic books. If Ben owns 6 comic books, how many does Jerry own?

So the first thing you have to do is read the question 3 times so that you can understand what you have to do with the question After reading it 3 times finds where the question is by underlining it

Ben and Jerry together own 24 comic books. If Ben owns 6 comic books, how many does Jerry own?

Now that you know what the question is. Find another way to say that by using a blank for the answer. Like this

Jerry owns ____Comic books

What are some other important words? After finding it Highlight them

Ben and Jerry together own 24 comic books. If Ben owns 6 comic books, how many does Jerry own?

Now we need to make the let statement

Let C= Jerry’s cb (comic books)


Jerry owns 18 Comic books

Here is a video to help you with problem solving as well

Hello! I'm Reina and today I am here to inform you about dividing negative integers, I'll show you how to solve different types of negative integer questions, but one thing all of us must know, the Sign Law.

positive divided by positive = positive
negative divided by positive= negative
negative divided by negative= positive

And now to talk about the different kinds of questions you'll encounter:
There are 3 types of negative integer division.
This is the first one-


-x = -3              Just to make things easier, which will all be the same thing in the end
 4                      we will move the negative sign to the denominator.



 x = -3               And now we can isolate the variable. which means we have to do the opposite
-4                                       operation, which is to multiply.


(-4)x = -3(-4)   Now that we have isolated the variable on the left side, now we can multiply

  -4                   on the right side


x = -12           And now you've solved the first question!

Here is the second one-

_ x = 3           Again, just to make things easier, move the negative sign to the denominator.
   4 


 x =-3            After moving the negative sign, isolate the variable.
-4


(-4)x = -3(-4)    Isolate the variable.
  -4     


x = 12            Now you have solved the second question!

Here is the last question-


 x = -3            Well now the question basically did half the work for us because we don't even
-4                   need to move the negative sign.


(-4)x  = -3(-4)      Isolate the variable.
  -4


x = 12            And wow you've magically solved the same question
                                   three times in a row!!

But there comes a time where you need to prove that your answer is right and the person next you is wrong so we need to "Verify by Visa". And since we all ended up with the same question I will just do this once from when we moved the negative sign to the denominator.

let "x" = 12
 x = -3 
-4
                          
12 = -3               
-4
  
-3 = -3

Here is a video I found on how to divide negative AND positive integers.

https://www.youtube.com/watch?v=bQ-KR3clFgs


And that is how you divide integers! Hope you actually learned something from this, BYE!!