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1. Solve for x:

    4x-13=35
    4x-13+13=35+13=48
    4x=48
    4x/4=48/4
     x=12

To isolate 4x add 13 to both sides, so that you have 4x=48. Then divide both sides of the = sign by 4, so that x=12.

2. Solve for R:

    pV=nRT 
    pV/n=nRT/n
    pV/n=RT
    pV/n/T=RT/T
    pV/nT=R
 
 

 

Divide the literal equation by n first. By doing this you will remove the n from the right side of the problem so that you will begin to isolate the R. This will give you pV/n=RT.  Then divide both sides of the equation by T. Combine the variables n and T at this point, so that your answer is pV/nT=R. 
3.  Give the equation for the line with slope three through (2,9) in point-slope form:

point slope form: y-y1= m(x-x1)

y-9= 3(x-2)
 
 

In this equation m is the slope and the x and y values are two and nine, respectively. (The first number in the ordered pair is the x value, while the second is the y value.)  The y value is placed in the y1 position and the x value is placed in the location of the variable, x1.  (The y and x variables should  remain in their original location untouched.)  The slope is already known, so the finished equation is y-9=3(x-2). 
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