Exam 9: Systems of Equations and Inequalities
Exam 1: Equations and Inequalities67 Questions
Exam 2: Functions and Graphs88 Questions
Exam 3: Polynomial and Rational Functions79 Questions
Exam 4: Exponential and Logarithmic Functions95 Questions
Exam 5: Trigonometric Functions58 Questions
Exam 6: Trigonometric Identities and Equations25 Questions
Exam 7: Applications of Trigonometry24 Questions
Exam 8: Topics in Analytic Geometry102 Questions
Exam 9: Systems of Equations and Inequalities35 Questions
Exam 10: Matrices29 Questions
Exam 11: Sequences, Series, and Probability66 Questions
Exam 12: Preliminary Concepts63 Questions
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The lines whose equations are
and
all intersect at the same point. What is the value of k ?


(Multiple Choice)
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Solve the system of equations below by the substitution method.



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Find the partial fraction decomposition of the rational expression below. 

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A large, rectangular electronic advertising sign for a hotel has a diagonal of 29.2 feet. The height of the sign is 0.6 times its width. Find the height of the sign. Round to the nearest tenth of a foot.
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An ice cream supplier has two machines that produce vanilla and chocolate ice cream. To meet one of its contractual obligations, the company must produce at least 78 gallons of vanilla ice cream and 22 gallons of chocolate ice cream per day. One machine makes 11 gallons of vanilla and 2 gallons of chocolate ice cream per hour. The second machine makes 6 gallons of vanilla and 5 gallons of chocolate ice cream per hour. It costs $38 per hour to run machine 1 and $38 per hour to run machine 2. How many hours should each machine be operated to fulfill the contract at the least expense?
(Multiple Choice)
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Find the partial fraction decomposition of the rational expression below. 

(Multiple Choice)
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A roundabout is a type of intersection that accommodates traffic flow in one direction, around a circular island. The graphic model below shows the numbers of cars per hour that are entering and leaving a roundabout where
is 35 cars per hour,
is 60 cars per hour,
is 70 cars per hour,
is 50 cars per hour,
is 60 cars per hour,
is 70 cars per hour,
is 65 cars per hour, and
is 50 cars per hour.
What is the minimum number of cars per hour that can travel on
?










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Find the partial fraction decomposition of the rational expression below. 

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