## [answered] Math 009 Quiz 4 Professor: Steve McKee Name________________

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Math 009 Quiz 4

Professor: Dr. Steve McKee

Name________________________________

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

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

This quiz allows 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 should show all of your work to receive full credit. If you do not show work, you

may earn only partial or no credit.

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

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

the document. 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: 1) Solve the inequality. Write the answer using both set-builder notation and interval

notation. Graph the solution set on a number line.

X?2&gt;6 2) Solve the inequality. Write the answer using both set-builder notation and interval notation.

Graph the solution set on a number line.

2x ? 3 &lt; 6(2 + 2) 3) Matt has a triangular flower bed in his back yard. The measure of the largest angle is 30? less

than twice the measure of the smallest, and the measure of the middle angle is 10? more than the

measure of the smallest angle. Find the measures of the three angles. Start your work by

defining the unknown quantities in terms of a variable. Show all work and write a complete

answer, including units. 4) Julie decided to ride her bicycle across the country during her 3-month summer vacation. The

route she took from New York City to Portland, Oregon, covered a total of 3420 miles. To keep

her mind occupied during some of the long flat stretches of countryside, she often did algebra

problems in her head. One day, for example, she determined that her distance from her starting

point was exactly 60 miles more than twice the distance remaining until the finishing point.

How far was Julie from the finishing point of her journey when she made that calculation? Start

your work by defining the unknown quantities in terms of a variable. Show all work and write a

complete answer, including units. 5) Solve the inequality. Write the answer using both set-builder notation and interval notation.

Graph the solution set on a number line.

-2x -5 ? 9x + 16 6) Mary is planning to invest a total of \$16,000 in two accounts. If she invests \$10,000 in a CD

paying 12% annual simple interest, at what rate does the remainder of her money need to be

invested so that the two investments together yield at least \$1900 in yearly simple interest? (Set

up and solve an inequality to answer this question). 7) Given the equation below, find four ordered pair solutions by completing the table, showing

all work in the space below. Then use the ordered pairs to graph the equation. You may use the

grid below or attach your own.

y = 3x + 2

Show work below:

x y 0

2

0

5 y x 8) The population of a city was 18,600. The population dropped 420 people each year for 6

years. What was the population of the city after 6 years?

Answer: 9) Pat?s new fuel efficient car traveled 465 miles on 15.5 gallons of gas. At this rate, how amny

gallons will be needed to travel 310 miles?

Answer: 10) Jane spent \$180 on an area rug in a department store. Later, she saw the same rug on sale

online. She realized that she had spent one and a half times the online price. What was the online

price?

Answer: 11. Graft the equation and identify the y-intercept. y = x ? 3

y x 12. During a chemical reaction, the temperature in the beaker decreased every minute by the

same amount of degrees. The temperature was 16? C at 11:08 A.M. By 11:43 A.M., the

temperature had dropped to negative 17?C (-17C). By how many degrees did it drop each

minute?

Answer: 13. Solve the inequality. Write the answer using both set-builder notation and interval notation.

Graph the solution set on a number line. Multiply both sides of the inequality by the LCD first to

clear fractions. -4/5 x ? 2

or 4 x2

5

Answer: 14. Given the equation below, find four ordered pair solutions by completing the table, showing

all work in the space below. Then use the ordered pairs to graph the equation. You may use the

grid below or attach your own.

y = 2/3 x- 4

x y 0

3

0

-3 y x 15) Distance from a storm. The formula M = 1/5 t can be used to determine how far M you are

form lightning when its thunder takes t seconds to reach your ears. It takes 8 seconds to hear the

thunder after you have seen the lightning. How far away is the storm?

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