Math 2 - Practice Final

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1 Class: Date: Math 2 - Practice Final Multiple Choice Identify the choice that best completes the statement or answers the question.. y varies inversely as the square of x. If y = 2 when x = 2, then what is x when y = 3? a. 0.5 b. c. 6 d. 2. A quadrilateral with vertices R(3, 5), S(-3, 5), T(6, ), and U(0, -8) undergoes a transformation according to the rule to form its image, R S T U. Which of the following statements is true? a. The area of R S T U is times as large as RSTU b. The perimeter of R S T U is times as long as RSTU c. d. The measure of angle R is times as large as the measure of angle R. 3. For the solutions to the following system of equations, what is the largest value of x? y = 3x 2 x 6 y = 5x + 3 a. 8 b. -2 c. 3 d. -. A rope connects two poles and hangs in the shape of a parabola. The poles are 20 ft tall and 80 feet apart. The rope reaches its minimum point at 3 feet above the ground. What is the height of the rope 0 feet from either pole? a ft b ft c ft d ft 5. For the function, which gives the maximum value of G? a. G 20 ˆ Á 3 b. G 0 ˆ Á 3 c. G 3 ˆ Á 0 d. G 3 ˆ Á 20

6. Which quadratic function is equivalent to? a. g(x) = (x 8) 2 9 c. g(x) = (x + 8) 2 9 b. g(x) = (x + ) 2 9 d. g(x) = (x ) 2 9 7.

2 6. Which quadratic function is equivalent to? a. g(x) = (x 8) 2 9 c. g(x) = (x + 8) 2 9 b. g(x) = (x + ) 2 9 d. g(x) = (x ) Which of the following is equivalent to RT in the triangle at the right? a. RS sin(38) c. b. ST cos(38) RS sin(38) d. RS 2 ST 2 8. In the diagram below, N L. Which of the following would make MNK MLK? a. NKM LKM c. MN NK b. NKM LMK d. MK MK 9. A rectangle is rotated 360 degrees around its line of symmetry. What 3-dimensional figure is formed? a. Cylinder b. Cone c. Sphere d. Prism men and women were surveyed on their preferences for two brands, A and B. 250 of the people who responed were male. 20 of the females preferred brand B. 70 of the total people who responded preferred brand A. Of that group, what is the probabiltiy of randomly selecting a male who preferred Brand B? a. 8/6 b. 2/25 c. 2/0 d. 9/0. Which of the following is an even function? a. f(x) = 2x 2 x + 3 c. f(x) = x b. f(x) = 2x 2 3 d. f(x) = 2x 6x 2

3 2. What is the axis of symmetry for the following equation: a. x = 2 b. x = c. x = d. x = 2 3. A bag has 0 yellow poker chips and green poker chips. If you reach in to randomly draw 5 chips, what is the probability of selecting exactly 3 yellow chips and 2 green chips? a. 220/6 b. 3/20 c. 5/ d. 360/00. If, what is the value of x a. 27 b. 3 c. 9 d A function f(x) = kx with a non-zero constant k, is transformed to form the new function g(x) = kx Which transformation mapped onto? a. Reflection over the x-axis c. Translation units down b. Rotation of 80 degrees d. Reflection over the y-axis. 6. Which of the following is an equivalent expression to? a. 3x 6 x 8x 3 + 2x c. 3x 6 8x 8x 3 + 6x 2 + 2x b. 3x 6 x 8x 3 + 6x 2 2x d. 3x 6 8x 8x 3 + 2x 7. A profit function for a new business follows the function, where x represents the number of months. After how many months will the company begin to make a profit? a. b. c. 7 d A projectile is launched from the ground at 28 feet per second and will hit the ground after a certain amound of time. It models the function g(x) = 6x x, where x represents the time of the of the flight (in seconds) of the projectile. What is an appropriate domain for this model? a. all real numbers c. x > 0 b. x > 8 d. 0 < x < 8 9. You cut out a shape from a piece of cardboard in the shape of a rhombus, with diagonals 8 inches and 2 inches. What is the amount of cardboard you need to make the shape? a. 3 square inches c. 26 square inches b. 08 square inches d. 5 square inches 3

20. The perimeter of the quadrilateral at the left is about 6 feet. Which of the following is the closest value to x? a. 3.0 b..2 c..58 d. 2.96 2.

What is the experimental probability that he will not get a hit at his next at bat? a. 3/0 b. /2 c. 7/0 d. 7/20 23. Point B is between points A and B. The ratio of to is 3:.

4 20. The perimeter of the quadrilateral at the left is about 6 feet. Which of the following is the closest value to x? a. 3.0 b..2 c..58 d Which of the following does the expression simplify to? a. 36y 2 x 3xy 2 c. 36y 2 x 3x b. 6y 2 x 3x d. 6y 2 3xy 22. Mark got a hit at 6 out of his last 20 at bats. What is the experimental probability that he will not get a hit at his next at bat? a. 3/0 b. /2 c. 7/0 d. 7/ Point B is between points A and B. The ratio of to is 3:. If point A(3, 7) and B(9, 25), then what are the coordinates of point C? a. (27, 5) b. (, 3) c. (36, 79) d. (5, 3) 2. Two angles, R and S, are complementary. If sin(r) = x, which of the following is always true? a. tan(s) = x b. cos(s) = x c. cos(s) < x d. sin(s) = x 25. Volume (V) varies inversely as Pressure (P). Which of the following is an appropriate equation if the volume if 200 cm 3 and the pressure is 2.8 kg/cm 2? a. V = 560 P b. V = 7. P c. V = 7.P d. V = 560P 26. A 0 inch by 2 inch rectangular piece of sheet metal will be made into an open-top box by cutting squares with side length x from each corner and folding up the sides. Which represents the surface area of the box? a x 2 c. 20-6x 2 b. x(0-2x)(2-2x) d. (0-2x)(2-2x) - x 2

5 27. If it s the weekend, the chances of Allison going to the store is /5. If its a weekday, the chances are 2/5. Given that Allison will not go to the store, what is the probability that it s the weekend? a. 2/35 b. /7 c. /5 d. 2/7 28. A rug is placed on a floor. The length of the floor is 6 ft more than its width, x. The length of the rug is 3 ft less than the length of the floor. The width of the rug is ft less than the length of the rug. Which of the following represents the area of the floor not taken up by the rug? a. 8x - 3 b. x - 3 c. x + 3 d. 8x Which rotation will carry a regular octagon onto itself? a. 60 b. 20 c. 26 d Which is a factor of? a. 5x 2 8 b. 5x + c. 0x 8 d. 5x 5

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior