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Micro Intro (ECON 1110)
Final: ANSWER SHEET, Version A
Name __________________
Date: ____________
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Name: ________________________ Class: ___________________ Date: __________
ECON1110
ID: A
Final
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
1. The amount of money that a firm receives from the sale of its output is called
a. total gross profit.
b. total net profit.
c. total revenue.
d. net revenue.
Scenario 13-5
Samantha has been working for a law firm and earning an annual salary of $80,000. She decides to open her
own practice. Her annual expenses will include $15,000 for office rent, $3,000 for equipment rental, $1,000
for supplies, $1,200 for utilities, and a $35,000 salary for a secretary/bookkeeper. Samantha will cover her
start-up expenses by cashing in a $20,000 certificate of deposit on which she was earning annual interest of
$500.
____
2. Refer to Scenario 13-5. According to Samanthas accountant, which of the following revenue totals will yield
her business $50,000 in profits?
a. $55,200.
b. $105,200.
c. $132,500.
d. $185,700.
Table 13-1
Alysons Pet Sitting Service
Number of
Output (number
Workers
of pet visits)
0
0
1
20
2
45
3
60
4
70
____
3. Refer to Table 13-1. What is the marginal product of the second worker?
a. 15
b. 20
c. 22.5
d. 25
1
Name: ________________________
____
ID: A
4. Suppose that for a particular firm the only variable input into the production process is labor and that output
equals zero when no workers are hired. In addition, suppose that marginal cost of the third worker hired is
$40, and the average total cost when three workers are hired is $50. What is the total cost of production when
three workers are hired?
a. $50
b. $90
c. $120
d. $150
Figure 13-4
____
5. Refer to Figure 13-4. Curve A is always declining because of
a. diminishing marginal product.
b. dividing fixed costs by higher and higher levels of output.
c. the fact that increasing marginal product follows decreasing marginal product.
d. the fact that decreasing marginal product follows increasing marginal product.
2
Name: ________________________
ID: A
Figure 13-6
____
6. Refer to Figure 13-6. Which of the figures represents the production function for a firm?
a. Figure 1
b. Figure 2
c. Figure 3
d. Figure 4
Table 14-6
Johns Vineyard
COSTS
REVENUES
Quantity
Produced
Marginal
Cost
Quantity
Demanded
Price
0
1
2
3
4
5
6
7
8
____
Total
Cost
$0
$50
$102
$157
$217
$285
$365
$462
$582
--
0
1
2
3
4
5
6
7
8
Total
Revenue
$80
$80
$80
$80
$80
$80
$80
$80
$80
7. Refer to Table 14-6. What is the marginal revenue from selling the 1st unit?
a. $30
b. $50
c. $80
d. $160
3
Marginal
Revenue
--
Name: ________________________
ID: A
Table 14-7
Quantity
12
13
14
15
16
17
____
____
____
____
____
Marginal
Cost
$5
$6
$7
$8
$9
$10
Marginal
Revenue
$9
$9
$9
$9
$9
$9
8. Refer to Table 14-7. If the firm is currently producing 14 units, what would you advise the owners?
a. decrease quantity to 13 units
b. increase quantity to 17 units
c. continue to operate at 14 units
d. increase quantity to 16 units
9. Profit-maximizing firms enter a competitive market when existing firms in that market have
a. total revenues that exceed fixed costs.
b. total revenues that exceed total variable costs.
c. average total costs that exceed average revenue.
d. average total costs less than market price.
10. In the long run, assuming that the owner of a firm in a competitive industry has positive opportunity costs, she
a. should exit the industry unless her economic profits are positive.
b. will earn zero accounting profits but positive economic profits.
c. will earn zero economic profits but positive accounting profits.
d. should ignore opportunity costs because they are a type of sunk cost that disappears in
the long run.
11. In the long-run equilibrium of a competitive market, the number of firms in the market adjusts until the market
demand is satisfied at a price equal to the minimum of
a. average fixed cost for the marginal firm.
b. marginal cost of the marginal firm.
c. average total cost of the marginal firm.
d. average variable cost of the marginal firm.
12. When firms are neither entering nor exiting a perfectly competitive market,
a. total revenue must equal total cost for each firm.
b. economic profits must be zero.
c. price must equal the minimum of marginal cost for each firm.
d. Both a and b are correct.
4
Name: ________________________
ID: A
Figure 15-4
____ 13. Refer to Figure 15-4. If the monopoly firm is currently producing Q3 units of output, then a decrease in output
will necessarily cause profit to
a. remain unchanged.
b. decrease.
c. increase as long as the new level of output is at least Q2.
d. increase as long as the new level of output is at least Q1.
Table 15-1
Quantity
1
2
3
4
5
6
7
8
9
10
Price
$35
Total
Revenue
$35
$64
Average
Revenue
Marginal
Revenue
$32
$29
$29
$17
$11
$23
$120
$17
$99
$80
$11
$8
$-1
$-7
$-13
____ 14. Refer to Table 15-1. When 4 units of output are produced and sold, what is average revenue?
a. 17
b. 21
c. 23
d. 26
5
Name: ________________________
ID: A
____ 15. If a monopolist sells 100 units at $8 per unit and realizes an average total cost of $6 per unit, what is the
monopolist's profit?
a. $200
b. $400
c. $600
d. $800
Figure 15-7
____ 16. Refer to Figure 15-7. What is the monopoly price and quantity?
a. price = F; quantity = A
b. price = G; quantity = B
c. price = G; quantity = A
d. price = D; quantity = A
Figure 15-8
____ 17. Refer to Figure 15-8. The deadweight loss caused by a profit-maximizing monopoly amounts to
a. $150.
b. $200.
c. $250.
d. $500.
6
Name: ________________________
ID: A
____ 18. A special kind of imperfectly competitive market that has only two firms is called
a. a two-tier competitive structure.
b. an incidental monopoly.
c. a doublet.
d. a duopoly.
____ 19. Which of the following statements is correct?
a. When duopoly firms reach a Nash equilibrium, their combined level of output is the
monopoly level of output.
b. When oligopoly firms collude, they are behaving as a cartel.
c. In an oligopoly, self-interest drives the market to the competitive outcome.
d. An oligopoly is an example of monopolistic competition.
____ 20. The primary purpose of antitrust legislation is to
a. protect small businesses.
b. protect the competitiveness of U.S. markets.
c. protect the prices of American-made products.
d. ensure firms earn only a fair profit.
____ 21. Predatory occurs pricing when a firm
a. exercises its oligopoly power by raising its price through the formation of a cartel.
b. exercises its monopoly power by raising its price.
c. cuts its prices in order make itself more competitive.
d. cuts its prices temporarily in order to drive out any competition.
____ 22. Suppose that a competitive firm hires labor up to the point at which the value of the marginal product equals the
wage. If the firm pays a wage of $700 per week and the marginal product of labor equals 20 units per week,
then the marginal cost of producing an additional unit of output is
a. $35
b. $70
c. $700
d. We do not have enough information to answer this question.
____ 23. Which of the following events could decrease the demand for labor?
a. An increase in the number of migrant workers
b. An increase in the marginal productivity of workers
c. A decrease in demand for the final product produced by labor
d. A decrease in the supply of labor
____ 24. Along the vertical axis of the production function we typically measure
a. revenue.
b. the marginal product of the input.
c. the quantity of input.
d. the quantity of output.
7
Name: ________________________
ID: A
Table 18-3
Quantity of
Labor
0
1
2
3
4
5
Number of Baseballs
Per Day
0
100
240
360
440
500
____ 25. Refer to Table 18-3. This table describes the number of baseballs a manufacturer can produce per day with
different quantities of labor. Each baseball sells for $5 in a competitive market. What is the marginal revenue
product of the third worker?
a. 120 baseballs.
b. $300
c. $400
d. $600
Figure 18-5
____ 26. Refer to Figure 18-5. If the price of apples decreases, the
a. demand for apple pickers will shift to the left.
b. demand for apple pickers will shift to the right.
c. supply of apple pickers will shift to the left.
d. supply of apple pickers will shift to the right.
____ 27. Economists define capital as the
a. accumulation of goods produced in the past that are being used in the present to produce
new goods and services.
b. the goods and services that are most affected by changes in technology.
c. factors of production that can be rented by firms.
d. factors of production that can be purchased by firms.
8
Name: ________________________
ID: A
____ 28. A difference in wages between a highly-educated worker and a less-educated worker is
a. a compensating differential for the cost of becoming educated.
b. a signal that the market is indifferent to a worker's level of human capital.
c. considered unfair by economists.
d. considered unfair by everyone.
____ 29. In recent years, the amount of international trade in which the United States engages has increased. Which of
the following accurately describes the effect(s) on labor demanded by firms in the United States?
a. The demand for both skilled and unskilled labor has increased.
b. The demand for both skilled and unskilled labor has decreased.
c. The demand for skilled labor relative to unskilled labor has risen.
d. The demand for unskilled labor relative to skilled labor has risen.
Scenario 19-5
Billy works for the local piano moving company part-time after school. Billy has worked for the company for
two years but still hasn't received a wage increase, even though newer employees have received raises. Billy
has threatened his employer with a lawsuit if he doesn't get a raise in the next few weeks. Billy believes he is
a victim of labor-market discrimination.
____ 30. Refer to Scenario 19-5. Why might an economist be skeptical of Billy's discrimination complaint?
a. Through antitrust laws, discriminating firms can be penalized with large fees.
b. In a competitive market, employers pay employees based on their value to the firm.
c. Discrimination leads to profit maximization.
d. Only cost minimizers practice discrimination.
Table 20-1
Group
Top Quartile (25%)
Second Quartile
Third Quartile
Bottom Quartile
Annual Family Income
$85,000 and over
$50,000 to $84,999
$28,000 to $49,999
Under $28,000
____ 31. Refer to Table 20-1. Fifty percent of all families have incomes below what level?
a. $28,000
b. $50,000
c. $85,000
d. There is insufficient information to answer this question.
9
Name: ________________________
ID: A
Figure 20-1
Number of Poor
____ 32. Refer to Figure 20-1. Between 1965 and 2001, during recessions (the shaded bars) the number of individuals in
poverty has
a. increased.
b. decrease.
c. not changed.
d. decreased and then increased.
____ 33. Ms. Spring currently earns $100,000 a year, while her junior partner, Mr. Fall, earns $55,000 a year. From the
perspective of a utilitarian, if both of their incomes are subject to diminishing marginal utility, taking a dollar
from Ms. Spring and giving it to Mr. Fall will
a. increase society's total utility.
b. lower Ms. Spring's marginal utility of income.
c. increase Mr. Fall's marginal utility of income.
d. lower societys total utility.
____ 34. In-kind transfers are politically popular because
a. they provide high quality food and shelter.
b. they provide cash.
c. allow resale of food stamps for cash, if needed.
d. the public believes that the aid is not going to support addictions.
____ 35. Consider two goods, books and hamburgers. The slope of the consumer's budget constraint is measured by the
a. consumer's income divided by the price of hamburgers.
b. relative price of books and hamburgers.
c. consumer's marginal rate of substitution.
d. number of books purchased divided by the number of hamburgers purchased.
10
Name: ________________________
ID: A
____ 36. The following diagram shows two budget lines: A and B.
Which of the following could explain the change in the budget line from A to B?
a. a decrease in the price of X
b. an increase in the price of Y
c. a decrease in the price of Y
d. More than one of the above could explain this change.
____ 37. The following diagram shows a budget constraint for a particular consumer.
If the price of X is $5, what is the consumers income?
a. $2
b. $10
c. $30
d. $300
11
Name: ________________________
ID: A
Figure 21-7
____ 38. Refer to Figure 21-7. Which of the following statements is correct?
a. If a consumer moves from bundle C to bundle A, her loss of cake cannot be compensated
for by an increase in donuts.
b. Bundle E is preferred to all other points identified in the figure.
c. Since more is preferred to less, bundle C may be preferred to bundle E in some
circumstances for this consumer.
d. Even though bundle E has more of both goods than bundle B, we could draw a different
set of indifference curves in which bundle B is preferred to bundle E.
____ 39. All of the following are properties of indifference curves except
a. higher indifference curves are preferred to lower ones.
b. indifference curves are downward sloping.
c. indifference curves do not cross.
d. indifference curves are bowed outward.
12
Name: ________________________
ID: A
Figure 21-11
____ 40. Refer to Figure 21-11. Assume that the consumer depicted in the figure has an income of $80. If the price of
chocolate chips is $4 and the price of marshmallows is $4, the optimizing consumer would choose to purchase
a. 9 marshmallows and 6 chocolate chips.
b. 10 marshmallows and 10 chocolate chips.
c. 5 marshmallows and 5 chocolate chips.
d. 3 marshmallows and 9 chocolate chips.
13

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Purdue - MA - 11100

MA 11100ScheduleSpring 2011Exam 1: Lessons 1-11; Exam 2: Lessons 12-22; Exam 3: Lessons 23-36JanuaryFebruaryMarchAprilMonday10Lesson 117 MLK day(no class)24Lesson 631Lesson 97Exam Review14Lesson 1421Lesson 1728Lesson 207Exam Revi

Purdue - MA - 11100

MA 11100 Calculator PolicyThe recommended calculator for MA 11100 students is a TI-30XA. It is the requiredcalculator for MA 15200 and MA 15300. You will need a calculator for some homeworkproblems. A calculator is never allowed on quizzes or exams.

Purdue - MA - 11100

These slides are to help thosestudents who have previously usedCourseCompass (previouslyregistered) for MA 15200 or MA11100. If you used MathXL; it isdifferent than MyMathLab. Youwould need to view thepresentation to register for the firsttime.Fo

Purdue - MA - 11100

Need your MyMathLab card with youraccess code (behind the pull off tab) Need a Valid E-Mail Address Need to know Purdues zip code is 47907and your course ID for your Class You may use an ITaP computer or on yourown computer (need Adobe FlashPlayer)

Purdue - MA - 11100

Using CourseCompassFeaturesYou must already beregistered or enrolled in acurrent class. Open up an internet browser.CourseCompass especially likesExplorer. Go to www.coursecompass.com Login with your login name andpassword. Click on your course

Purdue - MA - 11100

MA 11100Even AnswersSp11These even problems are from the bolded print problems on the assignment list. Anyeven problems that correspond to problems on coursecompass are not included in thisdocument. You will know the correct answers to those problems

Purdue - MA - 11100

MA 11100, Exam 3 Grade Approximations, Spring 2011Exam Average: 62.3Exam Range: 27 100These cut-offs are intended for approximations only. If you arenear a cut-off, your score could be considered either grade. Forexample, if you received a 87, your g

Purdue - MA - 11100

Exponent Rules and ExamplesAZero Exponent Rulea0 = 1Examples:1)12 0 = 12)( xyz ) 0 = 13)4 wrv 0 = 4 wr (1) = 4 wr4)60 + 4 = 1 + 4 = 56 x 0 6(1)5)==61h0BNegative Exponent Rulesna1=na1= annaabnb= anExamples:1)2)3)(3)

Purdue - MA - 11100

Lessons 23 Sections 4.2 and 4.33-part Inequality, Absolute Value Inequalities3-Part Inequality: 2 < x < 10 x < 10 AND x > 2The number must meet both conditions, therefore the conjunction and.Where are these numbers on the number line?-10-8-6-40-

Purdue - MA - 11100

Lesson 24, Section 5.1PolynomialsDefinition: A term is a number, a variable, a power of a variable, or the product of anyof these. A term is also commonly called a monomial. 3wExamples: 4x4 xy 2Definition: A Polynomial is a sum (or difference) of

Purdue - MA - 11100

Lesson 25Section 5.2Multiplication of PolynomialsTo multiply two monomials, use the rules of exponents.1)(8 x 2 y 3 z )(2 x5 y 2 z 2 ) =2)(5a 2b3 )(3a 5b 2 ) =To multiply a monomial and a polynomial with 2 or more terms, use the distributiveprope

Purdue - MA - 11100

Lesson 26, Sections 5.3 and 5.4 (part 1)Factoring out the Greatest Common Factor, Factoring by GroupingFactoring Trinomials (part 1)Factoring out the GCF is reversing the distributive property. It is putting thepolynomial back as a product (multiplied

Purdue - MA - 11100

Lessons 27Factoring Trinomials, Perfect Square Trinomials, Difference of SquaresTRINOMIALS (leading coefficient not a 1)Form: ax 2 + bx + c Always write terms in descending order!Notice: (3 x 5)(2 x + 3) = 6 x 2 + 9 x 10 x 15 = 6 x 2 x 156 x 2 is the

Purdue - MA - 11100

Lesson 28Factoring CompletelyFACTORING COMPLETELY1. Always factor out a GCF first, if possible.2. Count the number of terms. If there are 2 terms (binomial), look for a difference of squares pattern. If there are 3 terms (trinomial), look for a perf

Purdue - MA - 11100

Lesson 29Section 5.8Using Factoring to Solve Some Equations.Principle of Zero Products: If two factors have a product of 0, at least one of thefactors must be zero. ab = 0 a = 0 or b = 0Solve:( x 2)( x + 3) = 01)2)3 y (2 y + 1)( y 5) = 0Steps fo

Purdue - MA - 11100

Lesson 30Section 6.1Rational Expressions and FunctionsA Rational Expression is a polynomial divided by a non-zero polynomial.The following are examples of rational expressions.32w9+ xr2 ry2 2y + 5,,,,4x53r + 1y2 8A Rational Function is

Purdue - MA - 11100

Lesson 31Section 6.2Addition or Subtraction of Rational ExpressionsRemember: Fractions (rationals) can only be added or subtracted if they have a common325denominator. For example: + =888To add or subtract rational expressions with the same denomin

Purdue - MA - 11100

Lesson 32Section 6.4Rational EquationsRemember that a fraction cannot have a zero denominator. Because a rationalexpression cannot have a zero denominator, you must determine any values of x thatwould make a zero denominator when solving equations wi

Purdue - MA - 11100

Lesson 33, Section 6.5Application Problems Using Rational Equations1.2.3.4.1)Define a VariableDevelop A PlanWrite an EquationSolve and Answer the QuestionThe reciprocal of 5, plus the reciprocal of 7, is the reciprocal of what number?Let x = t

Purdue - MA - 11100

Lesson 34Section 6.8, VariationExamine this table:# hours workedPay1$82$163$244$326$4910$80When a relation between pairs of numbers is a constant ratio, such as above; it is called a8Direct Variation. The ratio above is and we say the p

Purdue - MA - 11100

Lesson 36Section 7.212What is a value for 9 ?Consider This.121211+229 9 = 9= 91 = 9 using the product rule of exponents.Now, Think!What other number times itself equals 9? 3 3 = 912Since both products equal 9, we can conclude that 9 = 3

Purdue - MA - 11100

Lesson 37Examine the following:4 9 = 23 = 6Sections 7.3 & 7.4Since both equal 6, the expressions are equal.4 9 = 36 = 6Conclusion: 4 9 = 4 9Likewise:16=44=22Since both equal 2, the expressions are equal.16= 4=24Conclusion:164=164Th

Purdue - MA - 11100

Lesson 38Sections 7.5When two radicals have the same indices (plural of index) and same radicands, they aresaid to be 'like radicals'. They can be combined the same as 'like terms'.Like Radicals: 3 r , r,2 3 5m ,4r 3 x 3 5m , 12 3 5m5 4 5, 10 4 5

Purdue - MA - 11100

Lesson 39 Sections 7.6 and 8.1Solving Radical EquationsUsing the Principle of Square Roots to Solve an Equationx=3You know you can add, subtract, multiply, or divide (by nonnegative number) and get atrue equation. Let's see if both sides can be raise

Purdue - MA - 11100

Lesson 40Section 8.2Quadratic Formula:If ax 2 + bx + c = 0 , then the value(s) of x can be found by x =Note: b mean the opposite of b 4ac means (-4)(a)(c) b b 2 4ac.2ab 2 is always positiveUse the quadratic formula to solve the following quadrat

Purdue - MA - 11100

Linear ConnectionsAny two points ofthe line-pt. 1:( x1 , y1 )pt. 2: ( x 2 , y 2 )Slope Formulahorizontalline:y = y1m=y 2 y1 r=x 2 x1 sverticalline:x = x1Point-Slope Form of Liney y1 = m( x x1 )Standard Form ofLineA, B, & C areintegers

Purdue - MA - 11100

MA 11100 and MA 15200 Spring 2011Information Needed to Register for Online HomeworkAddress: www.coursecompass.comPurdue Zip Code: 47907Adobe FlashPlayer is all that is needed on a computer.For your UserName: Use your Purdue email address (with the @p

Purdue - MA - 11100

E-mail messages Spring 2011message 1Hello!You are enrolled in MA 11100 for this fall semester. The class begin on Monday,January 10th and the class meets Monday, Wednesday, and Friday for most weeks.Vacation days are Martin Luther King Day (January 1

Purdue - MA - 11100

E-mail messages, spring 2011Message 2Hello!I recommend you buy your textbook as soon as you are able. It is advantageous to have yourtextbook and MyMathLab kit by Wednesday, January 12. Students will be asked to bringthe MyMathLab student access kit

Purdue - MA - 11100

E-Mail messages, spring 2011Message 3Hello!Today, I have attached some general comments about the class that I used tocommunicate to students the first day. However, since there are so many announcementsplus a lesson on the first day, I decided to se

Purdue - MA - 11100

E-mail Messages, spring 2011Message 4Hello!The course web page has all of the information for this course. It includes courseinformation, resources, exam information, instructor information, lesson notes, onlinehomework information, etc.Address:www

Purdue - MA - 11100

Online Homework Information1. Information about upcoming deadlines for homeworkassignments is given on the home page (the page after you clickon your class name).2. Your first homework assignment is a tutorial of how to enteranswers. You will have th

Purdue - MA - 11100

MA 11100, Intermediate Algebra, Spring 2011Memo: To MA 11100 studentsFrom: Charlotte Bailey, Course CoordinatorConcerning Classes/LessonsBefore each class, read the appropriate pages form the textbook for that lesson.ATTEND CLASS!Have the large majo

Purdue - MA - 11100

Outline for Linear Equations and Inequalities of 2 variablesAGraphing a line by Plotting Points1.2.BSubstitute any value for x in the equation and solve for y. This results ina point (x, y). ORSubstitute any value for y in the equation and solve f

Purdue - MA - 11100

SOLUTION IS.1 ordered pair infinite ordered pairsno ordered pair

Purdue - MA - 11100

3 Methods for Solving a Linear or other Systems of EquationsMethodGraphicalSubstitutionEliminationStrengths1. Solution(s) is easilyvisible2. Can be used with anysystem that can begraphed1.2.1. Yields exact solution(s)2. Easy to use when ava

Purdue - MA - 15300

Purdue - MA - 15300

Purdue - MA - 15300

Purdue - MA - 15300

MA 15300Exam 1 InformationThursday, February 36:30 pmSee your instructor for Exam locationYou will need to sit with your instructor's section.Lessons 1-9 (including lesson 1 and 9)BRING YOUR STUDENT ID TO THE EXAM WITH YOU.15 multiple-choice, mach

sheltonstate.edu - SPCH - 101

Topics for Persuasive SpeechHyeok LeeSPH 1061. Internet Filtering in college or public library .There still is controversy about whether filtering internet in public library and inschool is violation of the first amendment or not.2. It is about time

Purdue - MA - 15300

Exam 1Question #Orange FormAnswerSpring 201112AD3B45CE3a 2 b 52x + 3x 105 xy5 xy 267DDx 3x + 4 y x 4 x 4 y + 16 y 28Ax 3x + 5x ( x 3)9C1011AEx +1x+7x is less than 10.All real numbers x are solutionsx2 yx18 y12645

Purdue - MA - 15300

MA 15300Exam 2 InformationThursday, March 38:00 pmSee your instructor for Exam locationYou will need to sit with your instructor's section.Lessons 10-20BRING YOUR STUDENT ID TO THE EXAM WITH YOU.15 multiple-choice, machine graded problemsOnly you

Purdue - MA - 15300

Exam 2Question #Orange FormAnswerSpring 20111234EEDDNone of the above (-3/2, 3)5A3 4 2 i6789BDDB10E11C12CNone of the above (-1)[-5, 1]3 , 3] , )2(12 5iOne positive solution.57 3, 2 ) ( 2 , )( x 2 ) + ( y + 3)2-6

Purdue - MA - 15300

MA 15300Exam 3 InformationTuesday, April 126:30 pmSee your instructor for Exam locationWe are sitting in every other seat.Lessons 21-33 inclusive.BRING YOUR STUDENT ID TO THE EXAM WITH YOU.15 multiple-choice, machine graded problemsOnly your answ

Purdue - MA - 15300

Exam 3Question #Orange FormAnswerSpring 2011171234ACAC56CD7C8910DCE11By = 4x +132y = ( x + 2) 12 3, 1] [3, )12Dy = 2 ( x 2) 91314BB375 feet15Ex 13 x + 4021 , 4)2y = 5, y = 474 2, 1] 1, 2]2d ( t ) = 36t

Purdue - MA - 15300

MA 15300Final Exam InformationTuesday, May 33:20 pm (2 hour final)STEW 183 (Loeb Playhouse).Pick up a scantron from your instructor upon entering for yourassigned seat.200 pointsAccumulative (covers the entire semester)BRING YOUR STUDENT ID TO TH

Purdue - MA - 15300

GROUNDRULESforMA15300 Spring2011 CLASSPERIODStudentsareexpectedtoattendeveryclassmeetingandtoreadtheappropriatesectionsofthetextbeforecomingtoclass.Instructorsmaynothavetimetocovereverytopicinclass.TherearesupplementalvideosandPowerPointpresentations

Purdue - MA - 15300

MA 153Lesson 1 OutlineLesson 1 Section 1.1Example:If x>0 and y<0, find the resulting sign of:(a) xy(b)x yyExample:Express as an inequality:(a) y is nonpositive(b) The reciprocal of w is at least 9.Example:5 36Section 1.2 Exponentsx n ; x i

Purdue - MA - 15300

MA 153Lesson 2 OutlineAnswering of homework questions over lesson 1.Lesson 2 Section 1.2 (cont) RadicalsnaExample:(a) 0 =16 =(b)(c)38 =(d)416 =Laws(1) n ab = n a n bExample:36 x 2 y(2)na na=b nbExample:3278Example12 x 8 y 7 z

Purdue - MA - 15300

MA 153Lesson 3 OutlineAnswering of homework questions over lesson 2.Lesson 3 Section 1.3 PolynomialsExample:9 x 6 + 4 x 5 + x 2 21Degree =Leading coefficient=Adding and subtracting polynomialsExample:(6x3 2 x2 + x 2) ( x2 x + 2)Multiplying an

Purdue - MA - 15300

MA 153Lesson 4 OutlineQuiz Solutions (Practice problems for distance learning students)1. Evaluate: 4 5 ( 2 ) + 3= 4 7 = 4 ( 7 )= 282. Simplify. Do not leave negative exponents in your answer.3x 5 y 46 x3 y 7=3 y46 x3 x5 y 7=12 x8 y 33. Si

Purdue - MA - 15300

MA 153Lesson 5 OutlineQuiz Solutions (Practice problems for distance learning students)1. Subtract and express as a polynomial.( 3x4+ 2 x 2 4 x + 1) ( x 4 5 x 2 + 7 )= 3x 4 + 2 x 2 4 x + 1 x 4 + 5 x 2 7= 2 x4 + 7 x2 4 x 62. Multiply. Express your

Purdue - MA - 15300

MA 153Lesson 6 OutlineQuiz Solutions (Practice problems for distance learning students)1. Factor each of the following as much as possible:(a) 3 x 2 + 1 0 x 8(b) 1 6 x 4 1= ( 3x 2 ) ( x + 4 )= (4 x 2 + 1)(4 x 2 1)= ( 4 x 2 + 1) ( 2 x + 1) ( 2 x 1)

Purdue - MA - 15300

MA 153Lesson 7 OutlineAnswering of homework questions over lesson 6.Lesson 7 Section 2.1 Equations(I) Linear EquationsExample:4 ( 2 y + 5) 3( 4 y ) = 0(II) Rational Equations(a) Example (Method 1):538 = 2+xx(a) Example (Method 2):538 = 2+

Purdue - MA - 15300

MA 153Lesson 8 OutlineAnswering of homework questions over lesson 7.Lesson 8 Section 2.2 ApplicationsExample:Kathy invested $50,000 into two different accounts. One account earns 7% simpleinterest and the other pays 5% simple interest. How much is i

Purdue - MA - 15300

MA 153Lesson 9 OutlineQuiz Solutions (Practice problems for distance learning students)1. Solve for x:7 ( 2 x 1) 3 ( 4 x ) + 2 = 814 x 7 12 x = 62 x = 13x=1322. The following equation is an identity in which 0=0. What is the solution for x?32

Purdue - MA - 15300

MA 153Lesson 10 OutlineAnswering of homework questions over lesson 9.Lesson 10 Section 2.3 Solving Quadratic Equationsax 2 + bx + c = 0Solving:(1) By factoring: If ab = 0 , then a=0 or b=0.Example:x ( 3x + 10 ) = 77Example:5x36+ +2=x2 xx (

Purdue - MA - 15300

MA 153Lesson 11 OutlinePractice Quiz Solution (Practice problems for distance learning students)1. If Jon and Kathy work together, they can do a job in 35 minutes. If Jon works alone,he can do the same job in 55 minutes. How long would it take Kathy t

Purdue - MA - 15300

MA 153Lesson 12 OutlinePractice Quiz Solution (Practice problems for distance learning students)1. Solve for x:x ( 3x + 7 ) = 23x 2 + 7 x + 2 = 0(3 x + 1)( x + 2) = 03 x + 1 = 0, x + 2 = 01x = , x = 232. Solve for x:( x 4)2=5x4= 5x = 4 5A

Purdue - MA - 15300

MA 153Lesson 13 OutlinePractice Quiz Solution (Practice problems for distance learning students)1. A ball is thrown upward with an initial velocity of 48 ft./sec. The number of feet, s,above the ground after t seconds is given by s ( t ) = 16t 2 + 48t