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A collection of linear equation problems from a spring 2009 exam for the course mat 1101. Students are required to simplify equations, find intercepts, determine slopes, and graph lines. Problems include finding the equations of lines passing through specific points and having a given slope, as well as solving systems of linear equations.
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Test 2 MAT 1101 Spring 2009 Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
Find the equations of the lines with the given properties:
(2, 3) and (-1, 6). having a slope of 3
7 x + 2 , find the inverse (f -1(x)).
x y
x y
and find the point of intersection.
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
x y
x y
x y
x y
x y
x y
a) What is the rate of change? b) How much gasoline is in c) Find the linear equation G(x). the tank when x = 0?
d) How much gasoline is in the tank after 10 minutes? e) How many minutes does it tank to empty the tank?
a) What is average rate of change b) Find the equation g(x). in grams per degree Celsius?
c) How many grams can be d) What would the temperature need to be to dissolve dissolved at 0o^ Celsius? 100 grams of ammonium chloride in the water?
a) How many calories are burned b) Lance Armstrong cycles 6 hours a day. How per hour of cycling? many calories does he burn each day by cycling?
c) If 1 pound of weight is 3500 calories, how long does one have to cycle to exercise off 1 pound?