[answered] Math 012 - Fall 2016 Mid-Term Exam Name____________________

Complete the following 16 question math quiz in Microsoft Word. Show all work as required. If you have any questions don't hesitate to ask.?

Math 012 ? Fall 2016

 

Mid-Term Exam

 

Name________________________________ This exam is worth 100 points. There are 16 problems. The point value of each problem

 

is listed after the problem number. This exam is open book and open notes, and you may take as long as you like on it

 

provided that you submit the quiz 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

 

require work, write a sentence or two to justify your answer. 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. If you have any questions, please contact me by e-mail (eric.nardo@faculty.umuc.edu). At the end of your quiz 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 quiz myself, working independently and not consulting anyone except

 

the instructor. I have neither given nor received help on this quiz.

 

Name: Date: Remember to show ALL of your work on every problem. If there is no work to

 

show, then include a sentence or two explaining your answer.

 

Here are the basic rules of showing work:

 

a) Each step should show the complete expression or equation rather than a piece of it.

 

b) Each new step should follow logically from the previous step, following rules of algebra.

 

c) Each new step should be beneath the previous step.

 

d) The equal sign, =, should only connect equal numbers or expressions.

 

If you have questions about showing work, please ask. Math 012 - Fall 2016

 

Mid-Term Exam 1) (6 pts) Solve the equation: Page 2

 

15 x 4 x

 

= +

 

12 4 6 2) (6 pts) Jaime wins $225,000 (after taxes) in the lottery and decides to invest it in a 5-year CD

 

that pays 2% interest compounded quarterly. How much money will the CD be worth after the

 

5-year period? Show all of your work. Round to the nearest cent. 3) (6 pts) Two friends standing back-to-back on the sidewalk start walking in opposite directions

 

at constant speeds of 4 miles/hour and 5 miles/hour, respectively. How long will it take them to

 

be 3 miles apart from each other? (Show the algebra. Include the units in your answer and show

 

all of your work). Math 012 - Fall 2016

 

Mid-Term Exam Page 3 4) (6 pts) The length of three sides of a triangle are consecutive even integers and the perimeter

 

of the triangle is 156 feet. Find the length of each of the three sides. (Show the algebra. Include

 

the units in your answer and show all of your work). 5) (6 pts) In a room containing 228 students there are three times as many girls as there are boys.

 

How many girls and how many boys are in the room? (Show the algebra). 6) (10 pts) Given the points (2, 4) and (5, -2):

 

a) (2 pts) Find the slope of the line through the points. b) (2 pts) Write an equation in point-slope form of the line through the points. c) (2 pts) Write the equation in slope-intercept form. d) (2 pts) Convert the equation to standard form. Math 012 - Fall 2016

 

Mid-Term Exam Page 4 e) (2 pts) Graph the equation. You may use the axes provided, or create your own graph.

 

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 7) (6 pts) Solve the inequality. Write your answer in interval notation and graph the solution set

 

on a number line: 2? 3 x?1<8 8) (6 pts) Evaluate 2 4 x ?2 x?4 a) (3 pts) x=?1 b) (3 pts) x=5 when: Math 012 - Fall 2016

 

Mid-Term Exam

 

9) Page 5 (6 pts) Write the following numbers in scientific notation. No work is required.

 

a) (3 pts) 14,325,300,000 b) (3 pts) 0.00000889 10) (6 pts) Write the following numbers in standard notation without exponents. No work is

 

required.

 

a) (3 pts) 10.1265? 104 b) (3 pts) 4.3678 ?10 ?3 11) (6 pts) Simplify. Write the answer using positive exponents only.

 

?3 16 a b

 

3

 

30 ab 8 12) (6 pts) Simplify. Write the answer using positive exponents only.

 

2 x3

 

?1

 

3y 3 ( ) 13) (6 pts) Simplify. Write the answer using positive exponents only. Math 012 - Fall 2016

 

Mid-Term Exam ( Page 6 ?1 ?1 3ab

 

3 ?2

 

a b ) 14) (6 pts) Perform the indicated operations and simplify your answer: ( 4 b2?4 ) + ( 2?6 b 2 )?( 5 b2 +2 b ) 15) (6 pts) Perform the indicated operations and simplify your answer: ( x?1 ) ( 2 x 2?3 x?5 ) 16) (6 pts) Solve using long division and show the check of your solution.

 

x 2 +2 x?8

 

x?2 End of exam: please remember to sign and date the statement in the box on the first page of the exam.

 

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