Dear Honor Pre-Calculus or Advanced Algebra and Trig Student: Enclosed please find your Spring Break Math Packet. Please complete each assignment on the day assigned. Please have all questions completed with all necessary work on Monday, 21 March, at the beginning of class. If you have not submitted it within five minutes of the start of your class, it is late and will receive a 10 point deduction in score. Each day that this assignment is late will result in an additional 10 point deduction. Packets will not be accepted after Saturday, 26 March, and all missing packets will receive a grade of zero (0). This grade will count toward the fourth quarter as a quiz. Grade Calculation: Number of questions correct Total Earned Points (Max. 90) /75 Times 3 Completed Daily Chart Total Earned Points (Max. 25) /25 Directions are to complete a minimum of five questions each day during Spring Break for a total of 25 questions. There are a total of 30 questions provided. To ensure accountability, please fill out the following chart daily and have your legal guardian sign for each day. If you are 18 years old and are NOT living with your parents or guardians when you were a minor, please sign it yourself. The assignment is to work Monday to Friday of Spring Break, but you may begin working on this packet on Saturday, 12 March, and end as late as Sunday, 20 March. Day of Week Question # Completed Did the student complete at least 5 questions? Parent Signature If you have any questions, please feel free to contact me at mrteal@hotmail.com. Thanks, and enjoy your Spring Break. Mr. M. Teal Middle College High School Pre-Calculus & Adv. Alg./Trig Teacher
1) John currently has enough money to buy 45 books. If the cost of each book was 10 cents less, John could buy 5 more books. How much money does John have to spend on books? $40 $45 $50 $75 $100 2) How many 3-person committees can be formed in a club with 8 members? 24 48 56 78 336 3) Sara has some oranges. She sold 40% more than she ate. If she sold 70 oranges, how many did she eat? 25 50 75 100 None of the above. 4) Find x if 6.4/x = 4/7. 3.4 9.4 11.2 44.8 52.1
5) Peter's weight is 12 pounds more than twice Susan's weight. Find Peter's weight if together they weigh 150 pounds. 84 pounds 104 pounds 121 pounds 152 pounds This cannot be determined from the information provided. 6) If 6x - 3y = 30 and 4x = 2 - y then find x + y. -4-2 0 2 4 7) In the figure, AB CE, AE = 12, DE = 6, and CE = 4. What is the length of AB? 8 10 12 14 16 8) Mike received a 10% raise each month for 3 consecutive months. What was his salary after the three raises if his starting salary was $1000 per month? $1300 $1331 $1248 $1410 $1555
9) The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle? 30 35 40 45 50 10) 100 people will attend a dance if tickets cost $30 each. For each $5 increase in price, 10 fewer people will attend. What price will deliver the maximum dollar sales? 30 35 40 45 50 11) Which of the following sets is not closed under addition? Integers Odd Integers Even Integers Whole Numbers All are closed under addition 12) Jane can mow a lawn in 2 hours. Henry can mow the same lawn in 1.5 hours. About how long will it take to mow the lawn if Jane and Henry worked together? 28 minutes 42 minutes 51 minutes 1.2 hours 1.5 hours
13) Which of the following could not be a solution to: 4-3x < -3? 3 2.5 2 4 4.5 14) In the figure AB = BC, CD = BD, and angle CAD = 70. What is the measure of angle ADC? 80 70 60 50 This cannot be determined from the information provided. 15) Given the five integers 6, 7, 12, 13, 32, which of the following statements is most accurate? The median is equal to the mean. The median is 2 less than the mean. The median is 2 greater than the mean. The mean is 1 less than the median. The mean is 1 greater than the median. 16) log 10 A/B = log 10 A log 10 B log A 10 - log B 10 log 10 A - log 10 B log A 10 + log B 10 None of the above.
17) If A is greater than B, C is less than A, and B is greater than C, then which of the following is true? A < B < C B < A < C B < C < A C < A < B C < B < A 18) What is the area of a rectangle with a length of 36 and diagonals of 39? 108 540 702 1404 1621 19) In a class of 200 students, 120 students take Italian, and 100 study Spanish. If a student must study at least one of these languages, what percent of the students study Spanish but not Italian? 80% 60% 40% 20% This cannot be determined by the information given. 20) A drawer contains red socks, black socks, and white socks. What is the least number of socks that must be taken out of the drawer to be sure of having 4 pairs of matching socks. 8 9 10 11 This cannot be determined from the information given.
21) The sales tax rate in a small town is 8% of which the town keeps all the proceeds. The town is saving for a new traffic meter which costs $124. How much must the town sell to earn enough money to purchase the new traffic meter? $992 $874 $1,148.15 $1,550 $9,920 22) What is the point that is exactly midway between (6, 1) and (2, 5)? (4, 3) (4, 6) (6, 5) (8, 3) (4, 4) 23) A builder has a wooden board measuring 189" long. She needs to cut this board into 15 separate boards. What should the length of each board be? 10.4" 12.6" 13.2" 15.8" 20.9" 24) y -2 y 8 y -6 is equivalent to: 0 1-1 y 3 y -3
25) (YB is parallel to ZD) If BAC = (a + 30) degrees, then ACD expressed in terms of a is: a + 30 a + 150 150 - a 60 + a a - 60 26) Factor completely: 2x 2-2x - 12. (2x + 3)(x - 2) (2x - 7)(x - 5) (3x + 4)(x - 3) (2x + 3)(x - 4) (2x + 4)(x - 3) 27) John has 3 pants and 4 shirts ready for wear on a particular day. How many different outfits can John choose? 7 9 12 16 20 28) A right triangle has a hypotenuse of 30 inches and a first leg of 18 inches. What is the length of the second leg? 6" 20" 24" 36" 42"
29) 16.49 is closest to: 17 16 16.4 16.5 16.45 30) (-2) 2-4(-2) = -4 4-12 12-8