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	Name:\underline{\hspace{8cm}}  & Math 095 Midterm III \\
	& \hspace{3cm} 12 November 2010
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\textbf{Section I} Write a symbolic mathematical expression equivalent to each phrase.  (3 pts. each)
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\prob Some value is three times another value.
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\prob Twice a number is less than four less than a different number.
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\prob The least a number can be is twenty-five.
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\prob Seven more than a number is less than half of itself.
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\prob The difference between seven and a number is half the difference between 5 and that number.
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\textbf{Section II}  Write an inequality and solve the problem.  (5 pts. each)
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\prob  Twice a number decreased by seven can't be more more than 21.  What is the biggest it can be?
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\prob  A rectangular room is 12 feet long, but 96 square feet of tile could not cover it!  What's the narrowest the room could be?
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\prob  Cell phone plan $A$ costs \$30 per month and includes 180 minutes of talk time while additional minutes cost \$0.44 each.  Plan $B$ costs $80$ per month and includes 320 minutes of talk time with additional minutes costing only \$0.22.   How many minutes do you have to talk to make plan $B$ the less expensive option?
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\prob  You got 65\% on the first exam and (as soon as you made the retake) 98\% on the second exam.  What do you need to get on this exam in order to have an B or better (80+\%) average on your midterm exams?
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\prob  I'm riding my bicycle to Houston (350 miles) in four days or less.  I can ride 25\% farther on the second two days than I did on the first two due to training effects.   What is the fewest number of miles I have to ride on the first day to get there on time?
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\textbf{Section III}  Plot the expression on the Cartesian coordinate system.  (5 pts. each)
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\prob  $y>3x+2$
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\prob $x\leq3y$
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\prob $3\geq\frac{y-3}{x-3}$ and $y>2x$
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\prob $-3>\frac{y+4}{x-2}$ and $x+7\geq y$
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\textbf{Section IV}  Where do these lines intersect? Indicate whether you are using substitution or elimination.  Use each one at least twice. (5 pts. each)
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\prob $y=2x+6$ and $x=2y+6$ &\prob $3x+2y=6$ and $2x+3y=6$
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\prob $x+3y=4$ and $2x+y=3$ &\prob $6(x+y)=48$ and $y-x=2$
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\prob $2x+3y=19$ and $12y+6x=66$ &\prob $3x+2(y-x)=x+y$ and $x=2y+4(2-\frac{1}{2}y)$
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\textbf{Section V}  Solve.  (5 pts. each)
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\prob Hummingbird food is usually made at a ratio of 4:1 water to sugar.  If you make 68 liters of hummingbird food, how much water did you use?
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\prob I ordered half as many boxes of wings as I did pizzas for my algebra class.  A box of wings feeds 4 students and a pizza serves 5.  I anticipated feeding 28 students.  How many of each did I order?
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