elearning Assignment

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1 Name: Date: Class: Pre-Calculus elearning Assignment Place your answer in the blank provide. 1. A bus company always keeps 3 tires in stock for every bus it owns, plus an additional 30 tires in stock for emergencies. According to this policy, the bus company needs to have a total of 120 tires in stock. How many buses does the company have? A. 30 B. 35 C. 40 D. 45 E x 3 2x 2y 4x 2y is equivalent to: A. 9x 7 y 2 B. 9x 12 y 2 C. 24x 7 y 2 D. 24x 12 y E. 24x 12 y 2 3. If x is a real number such that x 3 = 64, then x 2 + x =? A. 4 B. 10 C. 18 D. 20 E If 12x = 8(10 x), then x =? A. 20 B. 8 C D E Shannon is planning to tile a rectangular kitchen countertop that is 24 inches wide and 64 inches long. She determined that 1 tile will be needed for each 4-inch-by-4-inch region. What is the minimum number of tiles that will be needed to completely cover the countertop to its edges? A. 44 B. 88 C. 96 D. 176 E. 384

2 6. A company rents moving vans for a rental fee of $25.00 per day with an additional charge of $0.30 per mile that the van is driven. Which of the following expressions represent the cost, in dollars, of renting a van for 1 day and driving m miles? A. 0.30m + 25 B. 25m + 30 C. 30m + 25 D m E. 55m 7. In figure below, lines m and n are parallel, transversals r and s intersect to form an angle of measure x and 2 other angle measures are as marked. What is the value of x? A. 15 B. 25 C. 35 D. 65 E If 5 times a number n is subtracted from 15, the result is a negative. Which of the following gives the possible value(s) for n? A. 0 only B. 3 only C. 10 only D. All n > 3 E. All n < 3 9. When a + b = 6, what is the value of 2(a + b) + a+b 6 + (a + b)2 2? A. 23 B. 37 C. 38 D. 43 E In the right triangle shown below, which of the following statements is true about angle A? A. CosA = B.sinA = C. tana = D. cosa = E. sina = 13 12

3 11. The 2 graphs shown below represent a car trip. The graph on the left shows the total distance as a function of time. The graph on the right shows the total number of gallons of gasoline used as a function of the total distance. Approximately how many gallons of gasoline were used during the first 2 hours of the trip? A. 2 B. 4 C. 8 D. 25 E At a refinery, 100,000 tons of sand are required to produce each 60,000 barrels of tarry material. How many tons of sand are required to produce 3,000 barrels of this tarry material? A. 5,000 B. 18,000 C. 20,000 D. 40,000 E. 50, A circle in the standard (x,y) coordinate plane is tangent to the x-axis at 5 and tangent to the y-axis at 5. Which of the following is an equation of the circle? A. x 2 + y 2 = 5 B. x 2 + y 2 = 25 C. (x 5) 2 + (y 5) 2 = 5 D. (x 5) 2 + (y 5) 2 = 25 E. (x + 5) 2 + (y + 5) 2 = What is the degree measure of the smaller of the 2 angles formed by the line and the ray shown in the figure below? A. 14 B.28 C. 29 D. 58 E. Cannot be determined from the given information 15. Four points A, B, C, and D, lie on a circle having a circumference of 17 units. B is 5 units counterclockwise from A. C is 3 units clockwise from A. D is 11 units clockwise from A and 6 units counterclockwise from A. What is the order of the points, starting with A and going clockwise around the circle? A. A, B, C, D B. A, B, D, C C. A, C, B, D D. A, C, D, B E. A, D, C, B

4 16. Lucky found $8.25 in pennies, nickels dimes, and quarters while walking home from school one week. When she deposited this money in the bank, she noticed that she had twice as many nickels as pennies, 1 fewer dime than nickels, and 1 more quarter than nickels. How many few quarters did Lucky find that week? A. 3 B. 9 C. 16 D. 21 E In the standard (x,y) coordinate plane below, an angle is shown whose vertex is the origin. One side of this angle with measure Ɵ passes through (4,-3), and the other side includes the positive x-axis. What is the cosine of Ɵ? A. 4 3 B. 3 4 C. 3 5 D. 4 5 E The relationship between temperature in degrees Fahrenheit, F, and temperature in degrees Celsius, C, is expressed by the formula F = 9 C Calvin reads a temperature of 38 on a Celsius thermometer. To the nearest 5 degree, what is the equivalent temperature on the Fahrenheit thermometer? A. 36 B. 53 C. 68 D. 70 E A company earned a profit of $8.0 million each year for 3 consecutive years. For each of the next 2 years the company earned a profit of $9.0 million. For this 5-year period, what was the company s average yearly profit, in millions of dollars? A. 8.2 B C. 8.4 D. 8.5 E Which of the following expressions, if any, are equal for all real numbers x? I. ( x) 2 II. x III. x A. I and II only B. I and III only C. II and III only D. I, II and III E. None of the expressions are equivalent

5 21. Mark and Juanita own a sandwich shop. They offer 3 kinds of bread, 5 kinds of meat and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat and 1 cheese. How many types of sandwiches are possible? A. 11 B. 15 C. 30 D. 45 E What is the distance in coordinate units, between the points ( 3,5)and (4, 1) in the standard (x,y) coordinate plane? A. 13 B. 17 C. 85 D. 13 E By definition the determinant a b c d equals ad bc. What is the value of 2x 3y when x = 3 5x 4y and y = 2? A. 138 B. 42 C. 12 D. 42 E Which of the following equations expresses c in terms of a for all real numbers a, b, and c such that a 3 = b and b 2 = c? A. c = a 6 B. c = a 5 C. c = 2a 3 D. c = 1 2 a E. c = a 25. In the standard (x, y) coordinate plane below, the points (0,0), (10,0), (13,6)and (3,6)are the vertices of a parallelogram. What is the area, in square coordinate units, of the parallelogram? A. 30 B. 60 C D E. 60 5

6 26. In the standard (x,y) coordinate plane below, the vertices of the square have coordinates (0,0), (6,0), (6,6)and (0,6). Which of the following is an equation of the circle that is inscribed in the square? A. (x 3) 2 + (y 3) 2 = 9 B. (x 3) 2 + (y 3) 2 = 3 C. (x + 3) 2 + (y + 3) 2 = 9 D. (x + 3) 2 + (y + 3) 2 = 6 E. (x + 3) 2 + (y + 3) 2 = Which of the following quadratic equations has solutions x = 6a and x = 3a? A. x 2 18ab = 0 B. x 2 x(3b 6a) 18ab = 0 C. x 2 x(3b + 6a) + 18ab = 0 D. x 2 + x(3b 6a) + 18ab = 0 E. x 2 + x(3b + 6a) + 18ab = The volume of a right circular cylinder with a height of 6 cm is 150π cubic centimeters. What is the lateral surface area, in square centimeters, of this cylinder? (Note: For a right circular cylinder with a radius r and height h, the lateral surface area is 2πrh and the volume is πr 2 h) A. 25π B. 36π C. 50π D. 60π E. 110π 29. The breaking distance, y feet, for Damon s car to come to a complete stop is modeled by y = 3(x2 +10x), 40 where x is the speed of the car in miles per hour. According to this model, which of these is the maximum speed, in miles per hour, Damon can be driving so that the breaking distance is less than or equal to 150 feet? A. 10 B. 30 C. 40 D. 50 E The curve y = 0.005x 2 2x for 0 x 200 and the line segment from F(0,200)to G(200,0) are shown below in the standard (x,y) plane below. What is the y coordinate for the point on the curve with x-coordinate 20? A. 160 B. 162 C. 164 D. 166 E. 168