## [answered] Math 012 - Bohner Midterm Name_____________________________

Can someone help me with just question # 7, #8, # 9, # 10 please?

Math 012 ? Bohner Midterm Name________________________________

Instructions: The exam is worth 75 points. There are 15 questions, each worth 5 points. Your score on

the exam will be converted to a percentage and posted in your assignment folder with

This exam is open book and open notes, and you may take as long as you like on it

provided that you submit the exam no later than the due date posted in our course

schedule of the syllabus. You may refer to your textbook, notes, and online classroom

materials, but you may not consult anyone.

You must show all of your work to receive full credit. If a problem does not seem to

Please type your work in your copy of the exam, or if you prefer, create a document

containing your work. Scanned work is also acceptable. Be sure to include your name in

the document. Review instructions for submitting your exam in the Exams Module.

(kathy.bohner@faculty.umuc.edu). At the end of your exam you must include the following dated statement with your name

typed in lieu of a signature. Without this signed statement you will receive a zero.

I have completed this exam myself, working independently and not consulting anyone except the

instructor. I have neither given nor received help on this exam.

Name: Date: Please remember to show all work on every problem. Math 012

Midterm Exam

1) Solve the equation below. 3 x 2 7 x 6 x 2 x 2) Solve the equation below. x 4 5 x 3 2 x 3 5 3) Solve the equation below by clearing the fractions in the first step. 2 n 7 2n 17

5

6

6 Page 2 Math 012

Midterm Exam Page 3 4) Solve the inequality below. Write your answer in interval notation and graph the solution set

on a number line. 8 x 1 2 2 4 1 3x 5) Solve the inequality below by clearing the fractions in the first step. Write your answer in

interval notation and graph the solution set on a number line. 3

1 1

x x

7 10 2 6) Solve the inequality below. Write your answer in interval notation and graph the solution set

on a number line. 77 5 8 x 43 Math 012

Midterm Exam Page 4 7) The water usage in a city varies directly with the population of a city. City A has a population

of 225,000 people and uses an average of 28,925,000 gallons of water per day. How many

gallons of water per day should we expect City B to produce if its population is 4,890,000

people? 8) Michael wins \$500,000 (after taxes) in the lottery and decides to invest half of it in a 5-year

CD that pays 4.95% interest compounded monthly. He invests the other half in a money

market fund that retirement account that averages 7.3% interest compounded annually over

the 5-year period. How much money will he have altogether in the two accounts at the end

of the 5-year period? 9) Given the following two linear equations, determine whether the lines are parallel,

perpendicular, or neither. Show all work and explain your conclusion fully. 5x 4 y 40

8 x 15 10 y Math 012

Midterm Exam Page 5 10) The average annual tuition and fees at all 4-year institutions in the US in 2003 was \$18,608

and in 2012 was \$ 25,114. Let y be the average tuition and fees in the year x, where x = 0

represents the year 2002.

a) Write a linear equation, in slope-intercept form, that models the growth in average tuition

and fees at all 4-year institutions in the US in terms of the year x. b) Use this equation to predict the average tuition and fees at 4-year institutions in the US in

the year 2025. c) Explain what the slope of this line means in the context of the problem. 11) Given the equation 3x ? 5y = 15:

a) Rewrite the equation in slope-intercept form. b) Write an equation in point-slope form of the line through the point (-4, 1) parallel to the

line with the equation given above. c) Convert the equation found in part (c) to slope-intercept form. Math 012

Midterm Exam Page 6 d) Convert the equation found in part (c) to standard form, Ax + By = C, where A, B, and C

are integers. e) Graph both lines on one coordinate system. You may use the grid below or create your

own.

8

7

6

5

4

3

2

1

-7 -6 -5 -4 -3 -2 -1

-1

-2

-3

-4

-5

-6

-7 y x 1 2 3 4 5 6 7 8 Math 012

Midterm Exam Page 7 12) Show all work as you perform the indicated operations and simplify the result: 2 x6 y5 7 x y 3 5 4 13) Show all work as you perform the indicated operations and simplify the result. Write the

answer with positive exponents only. 24 x 9 y12

63x 7 y 14) Show all work as you perform the indicated operations and simplify the result: 5x 3 3x 2 2 x 4 x 2 7 x 3 8 x3 7 x2 12 15) Show all work as you multiply the polynomials and simplify the result: 8 x 7 3x 2 7 x 5 Math 012

Midterm Exam Page 8

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