KAYCEE'S EASY MATH TIPS!
 

 

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Linear Equations:

•     they have one variable.

q=2-2(2q-3+3q)	Now you need to add all of the like terms in the parentheses.
q=2-2(5q-3)	Now distribute the -2.

now you need to....

...  add all like terms.
q=8-10q	Now add 10 to both sides.
11q=8	You just got to divide each side by 11 and your threw.
q=8/11

Now here are some more problems. Work them out  yourself and check to see if you did them right.
1. 2x-4x=-5
-2x=-5
x=2.5

2. b=2-2(2b-3(1-b)
b=2-2(2b-3+3b)
b=2-2(5b-3)
b=2-10b+6
b=8-10b
11b=8
b=8/11
3. ((k+2)/3)-((2-k)/6)=k-2   (hint: to make this one easier, find the l.c.d. for all the fractions then multiply everything by it)
2k+4-2+k=6k-12
3k+2=6k-12
14=3k
14/3=k

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Now do you need help on Literal Equations?

• Remember- Literal Equations have more than one variable.

k=mgh; solve for h	Now you divide each side by mg
k/mg=h	It's that simple.

Here are some problems for you to work out:
1. E=IR; solve for R
E/I=R
2. S_O/S_i=D_O/D_i ; solve for D_i
D_OS_O/S_I=D_I
3. F=G(Mm/r²); solve for G
G=Fr²/Mm

Your doing a great job. It's not as hard as you thought it was is it.

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You must remember when you are writing the equation of a line there are three types of equations for every line !
Remember

• m= the slope and
• b = the y-intercept

The first one is....

slope intersect form:

• The equation for slope intersect is y=mx+b

The slope is 3/2 and one of the points are (o,-1)	Now just fill them in were they belong
y=3/2x-1	that's all

The second one is....

point slope form:

• the equation is y-y₁=m(x-x₁)

Use the same slope and same y-intercept as you did in the first equation.
y+1=3/2(x-0)	Now distribute the 3/2
y+1=3/2	It's not so hard is it.

The third one is...
standard form:

• the equation is ax+by=c

 

Now to make this one a little easier, use the slope intercept to help you out.	So you have y=(3/2)x-1. Now multiply each side by 2.
2y=3x-1	Subtract 3x from each side.
2y-3x=-1	The x should always be in the front, and not be a negative. So switch the 2y and 3x around, then divide each side by a negative so the 3x won't be a negative.
3x-2y=1	Now your finished.

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