READ THE DIRECTIONS CAREFULLY! You may seek help anytime before the due date. STUDENTS ARE NOT ALLOWED TO

Transcription

1 Advanced Algebra/Precalculus: Problem Sets rd Term READ THE DIRECTIONS CAREFULLY! Problem sets are due according to the schedule below. You may seek help anytime 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 attached to the problem set. Late problem packets WILL NOT be accepted if you are at school on the due date. 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 ecuse you from submitting problem sets on the due date. The primary purpose of problem sets is to reinforce the spiral approach of mathematics placing more emphasis on the Standards of Learning. Packet Due at the BEGINNING of class on or before the class date: / or / /6 or /7 / or / 4 /5 or /6 5 /9 or /0 Advanced Algebra/Precalculus rd Term

2 Advanced Algebra/Precalculus rd Term

3 Precalculus ( rd term) Early Name Problem Set #5 Due: /9 or /0 Period ) Solve using matrices. Round answers to two decimal places. 5 6y z 0 8 y 7z 9 4y z ) Ma is riding a bicycle with wheels that have a inch radius. If Ma is traveling 5 mph, what is the rotational speed of the wheels in revolutions per second? ) A firefighter places a 50 foot ladder is against a building such that the angle it makes with the ground is 7. Can the firefighter rescue a stranded occupant at the 4 th floor window which is 45 feet above the ground? Show all work to support your conclusion. 4) Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 0 and from the second sensor it is 5. Determine how high the aircraft is at this time. Advanced Algebra/Precalculus rd Term

4 Questions5 6: Verify the identity. 5) sin cos sin csc cos 6) sin sec Questions 7 8: Find all solutions in the interval 0, : 7) cos 0 8) cos 0 9) A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s 96 80t 6t. After how many seconds will the ball pass the top of the building on the way down? 0) Find the dimensions of a rectangle whose perimeter is 9. meters and whose area is 50.7 square meters. Advanced Algebra/Precalculus rd Term

5 Precalculus ( rd term) Early Name Problem Set #4 Due: /5 or /6 Period ) Graph y, 4, Questions 5: Perform the indicated operations. Simplify answers. Do not leave in factored form. Show all work for each problem on this paper (or an attached paper) including common denominators, factorizations, and reciprocals. Do not omit steps that show how the problem was worked. ) ) ) ) Advanced Algebra/Precalculus rd Term

6 6) Graph a on the number line. a a a + 7) If the slope of a line is, what is the slope of a line perpendicular to it? Questions 8 9: Determine the intervals in which each graph is apparently increasing, decreasing, or constant. Use interval notation. ( pts each) 8) 9) Increasing: Decreasing: Constant: Increasing: Decreasing: Constant: 0) Solve triangle ABC. Show all work. A 4, a 5, b 8 Advanced Algebra/Precalculus rd Term

7 Precalculus ( rd term) Early Name Problem Set # Due: / or / Period Directions: Show all work for full credit. Questions : Solve for. ) A ) B 0 4 A C C 46 B Questions 4: Find : ) A 4) 7 0 C 5 A C B B 5) The point (, 4) is on the terminal side of an angle in standard position. Determine the eact values of the sine, cosine, and tangent of the angle. Advanced Algebra/Precalculus rd Term

8 Questions 6 7: Determine the amplitude, period, and phase shift for the following: 6) y sin 7) 4 y cos 4 Questions 8 9: Determine the period, domain, and range: 8) y tan 9) y tan 4 0) Find the eact value of sin5 Advanced Algebra/Precalculus rd Term

9 Precalculus ( rd term) Early Name Problem Set # Due: /6 or /7 Period Questions : Simplify the following. Neatly show all steps for full credit. ) ) Questions 6: Perform the indicated operations. Simplify answers. Do not leave in factored form. Show all work for each problem on this paper (or an attached paper) including common denominators, factorizations, and reciprocals. Do not omit steps that show how the problem was worked. ) ) Advanced Algebra/Precalculus rd Term

10 5) ) 5 7 Questions7 and 8: Solve using matrices. No calculators. Show all work. 7) y 8 8) 6 5 y y 5 y 5 Questions 9 and 0: Rewrite into standard form. Identify the center, foci, and vertices. 9) 4 4y 8y 4 0 0) y 4 4y 4 0 Advanced Algebra/Precalculus rd Term

11 Precalculus ( rd term) Early Name Problem Set # Due: / or / Period Questions 4: Rationalize the following epressions. ) ) ) 4) Questions 5 8: Determine the domain and range. Show all work for full credit. Place answers in the appropriate blanks. 5) y sin( ) Domain: Range: 6) y cos Domain: Range: Advanced Algebra/Precalculus rd Term

12 7) y tan Domain: Range: 8) y sec( ) Domain: Range: Questions 9 0: Simplify the following. Neatly show all steps for full credit. 9) 0) Advanced Algebra/Precalculus rd Term