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Linear Equations
Equation Explanation
q=(3/2)q-4 the starting equation (the problem)
2q=3q-8 multiply everything by 2 to get rid of the denominator
-q=-8 subtract 3q from both sides to get all variables to one side
q=8 divide both sides by -1 (the coefficient of q)

Literal Equations

Equation Explanation
a=(vf-vi )/t we'll use the formula for acceleration (solve for vi)
at=vf-vi multiply by t to get rid of the denominator
at-vf=-vi subtract vf from each side
-at+vf=vi divide both sides by -1 (the coefficient of vi)
vi=vf-at rearrange to make better appearance

3 forms of a line Equations

Equations Explanations
line with slope 2 and passes through (0,4) the problem
y-4=2(x-0) begin with Point-Slope form (its easiest)
y-4=2x use distributive property
y=2x+4 add 4 to both sides (this is Slope-Intercept form)
-2x+y=4 subtract 2x from both sides
2x-y=-4 multiply everything by -1 to make better appearance (this is Standard form)
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