Geometry
Advanced Algebra/Precalculus: Problem Sets
2nd Term
READ THE DIRECTIONS CAREFULLY!
• Problem sets are designed to review concepts taught in previous courses as well as those taught in this class. Problem sets must be taken seriously and emphasis should be on the process to answer each question and not necessarily the answer itself.
• Problem sets are due according to the schedule below. Points are deducted for each day late. If you are absent on the due date, it is YOUR responsibility to turn in the assignment on the first day back to school. Absences for school related activities (sports, field trips, club activities, etc.) DO NOT excuse you from submitting problem sets on the due date. You can take a picture of your problem set and send it in if you are out!
• You may seek help any time before the due date. STUDENTS ARE NOT ALLOWED TO ASK FOR HELP ON THE DAY IT IS DUE!!! Students must also have work to show the teacher before asking questions.
• Work must be shown to receive credit. Work done on a separate sheet of paper must be securely attached to the actual problem set. Calculations performed on a calculator must be shown on the paper.
• You MUST earn a minimum of 50% on EACH problem set to earn quarter mastery grade.
Packet Due at the BEGINNING of class on or before the class date:
1 11/30 or 12/1
2 12/14 or 12/15
3 1/11 or 1/12
REMINDER – NO Problem set = NO grade replacement from Cumulative Quarter Test!
Precalculus (2nd term) Name ___________________
Problem Set #3 Due: 1/11 or 1/12 Period ______
1) Write the equation of the conic with the following characteristics: Foci (0, ±5), Vertices ([pic].
Questions 2 – 5: Given the angle, find a positive and a negative coterminal angle.
|2) [pic] |3) [pic] |4) [pic] |5) [pic] |
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Questions 6 – 7: Convert to DMS (decimal) as appropriate.
6) [pic] 7) [pic]
Questions 8 – 10: Complete the following table. Show all work on the back of this page where indicated. NO WORK NO CREDIT.
| |Wheel Radius |Linear speed |Rotational speed |Angular speed |
| | |(miles per hour) |(revolutions per minute) |(radians per second) |
|8) |30 in |25 miles per hour | | |
|9) |2 feet | |880 rpm | |
|10) |10 cm | | |0.2 radians per second |
1 inch = 2.54 cm
Work for #8.
Work for #9
Work for #10
Precalculus (2nd term) Name ___________________
Problem Set #2 Due: 12/14 or 12/15 Period ______
Questions 1 – 2: For each system of equations, write a matrix equation. Use the matrix equation to solve the system. Show all work!
|1) [pic] |2) [pic] NO calculator! |
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Questions 3 – 4: Find the inverse of the matrix, if it exists. NO CALCULATOR. SHOW ALL WORK.
|3) [pic] |4) [pic] |
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Question 5: Solve for [pic].
5) [pic]
Question 6: Graph the piecewise function.
6) [pic]
Questions 7 – 10: Convert the given angle to radians (degrees) and state the quadrant in which the angle lies. Leave radian measures in terms of [pic] and degree measures rounded to 2 decimal places. Show all work.
|7) [pic] |8) [pic] |
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|9) [pic] |10) [pic] |
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Precalculus (2nd term) Name ___________________
Problem Set #1 Due: 11/30 or 12/1 Period ______
Questions 1 – 4: Rationalize the following expressions.
|1) [pic] |2) [pic] |
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|3) [pic] |4) [pic] |
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Questions 5 – 8: Write each conic in standard form and identify the type of conic.
|5) [pic] |6) [pic] |
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|7) [pic] |8) [pic] |
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Questions 9 – 10: Use the following scenario.
Consumerism. Suppose the cost of driving a car for a month is determined by the formula [pic], where g is the gas mileage of the car, in miles per gallon. The mileage depends on the average speed, r, of the car, in miles per hour, and is given by the formula [pic].
9) Write a formula for the cost in terms of the average speed of the car. SHOW all work!
10) If the average speed of the car is 40 mph, determine the cost of driving the car for a month.
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