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blond_princess06






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I need some help solving these problems
posted on: 9/7/2005 8:01:45 PM

Hello everyone i'am new here , First of all i'am a Senior in High school, and I need to pass the California High School Exit Examination (cahsee) to graduate.

Here are the problems I need help on.

1)2X-3=7
2)2N+3<17
3)4(X+5)-3(X+2)=14
4)5(2X-3)-6X<9
5)2X-3Y=12
6)(6A4BC)(7AB3C)

ANY HELP WILL BE APPRECIATED, THANKS APRIL
The_Big_K

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I need some help solving these problems
replied on: 9/7/2005 10:05:01 PM

Hello Blonde Princess !

Ok, let's solve your problems one by one-

1. 2X-3=7 (You've to solve for 'x')-

Here's how we go about it. Remember, in order to solve for 'x', you must keep the terms containing 'x' on one side of the '=' sign. In our problem, the term containing 'x' is '2x'. So let's keep it on Left Hand Side of '=' sign.
We Get-

2x = 7 + 3 ( see -3 changed to +3 on Right Side).

Therefore, 2x = 10. => x= 10/2 = 5
Therefore, x = 5 is your answer !
--------------------------------
2. 2N+3<17
This is an inequality, and we solve it the way we solved Problem#1.

2N+3<17
=> 2N < 17 - 3
=> 2N < 14
=> N < (14/2)
=> N < 7 --> That's your answer, Princess!
------------------
3. 4(X+5)-3(X+2)=14
Looks Complicated? Maybe. But It is not!
Work with me-keep in mind that we must group the terms containing 'x' on one side of '=' sign.
So-let's solve the brackets first.
4(X+5)-3(X+2)=14
=> 4x + 20 - ( 3x + 6 ) = 14 ( got it?)
=> 4x + 20 - 3x - 6 = 14 ( and this?)
=> x + 14 = 14
=> x = 14 - 14 = 0
Therefore x = 0 is what Princesses's correct answer.
-------------------
4. 5(2X-3)-6X<9
Now with Problems #1,#2 & #3 in bag, Princess must be smiling at Problem#4 !
5(2X-3)-6X<9
=> 10x - 15 - 6x < 9
=> 4x < 9 + 15
=> 4x < 24
=> x < 24/4
=> x < 6

------
Okay Princess, Now I want you to try Problem #5 & #6 on your own. If you get them correct, do send a 'thank you note' . If you still face some problem, feel free to write to me at the.big.k.in<at>gmail.com

Enjoy Math !

-The Big K -
Blog: http://the-big-k.blogspot.com
Quote: Unless you are the lead dog, the view never changes
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