Math 2

EOCT Practice Test #2

1. The curves in these graphs represent the distribution of wait times for two traffic lights. Which statement best describes the range and the standard deviation of the wait times at each traffic light?

2. An English teacher determined that there is a positive linear relationship between students’ scores on an essay test and the length of time students take to complete the test. Based on this information, which conclusion is valid?

3. The function f(x) is graphed on this coordinate grid. What are the domain and the range of the function f- (x)?

4. This function models the height, f(x), in feet, of an object x seconds after it is tossed into the air.

Which statement describes the object 1.5 seconds after it is tossed into the air?

5. Quadrilateral LMTP is an isosceles trapezoid. What is the length of LP?

6. A picture has a length of 10 inches and a width of 8 inches. Marcus will build a frame for the picture. The frame will be x inches wide as shown in this diagram.

Marcus increases the dimensions of the picture by a scale factor of k. He then builds a new frame with the same width x. Which expression represents the increase in the area, in square inches, of the new frame?

7. Which graph could model the relationship between the area, y, in square inches, of the frame alone and the width of the frame, x, in inches?

8. Bianca uses an angle-measuring device on a 3-foot tripod to find the height, h, of a weather balloon above ground level, as shown in this diagram.

The balloon is at a 40° angle of elevation. A radio signal from the balloon tells Bianca that the distance between the tripod and the balloon is 25,000 feet.

Which expression represents the height, h, of the balloon above ground level?

9. The base of the cone has a radius of 6 cm. Which expression represents the slant height, in centimeters, of the con?

10. What is wrong with the information given in the diagram?

11. The ratio of the surface area of Pluto to the surface area of Mercury is approximately 1 to 4. Assuming the planets are roughly spherical, what is the ratio of the volume of Pluto to the volume of Mercury?

12. The radius of a blue marble is 34 the radius of a

red marble. The volume of the red marble is 32π cubic centimeters. Assuming both marbles are spherical, what is the volume, in cubic centimeters, of the blue marble?

13. An igloo is a shelter constructed from blocks of ice in the shape of a hemisphere. This igloo has an entrance below ground level. The outside diameter of the igloo is 12 feet. The thickness of each block of ice that was used to construct the igloo is 1.5 feet.

What happens to the outside radius of the igloo if the outside surface area of the igloo is multiplied

by 14 ?

14. The graph of the function f ( x )=|x| is reflected across the line y=1. Which function describes the graph after the reflection?

15. This piecewise function is equivalent to an absolute value function. What is the value of k?

16. Which equation describes the graph of a function that has the roots x = -1 and x = -3 ?

17. Which function describes a graph that has its vertex at the point (2, 6)?

18. A student bought a car for $8000. The value of the car depreciates by 20% per year. What is the value of the car after 3 years of depreciation?

19. Which equation represents the function?

20. The first 5 terms in a geometric sequence are listed.

500, 250, 125, 62.5, 31.25, ...Which function can be used to determine the nth term of the sequence?

21. A geometric sequence has a common ratio of 3. Which expression represents the sequence if a is a realnumber and n is the number of each term in the sequence?

22. What is the solution for the equation:

23. For what values of x does it appear that f(x) is greater than g(x)?

24. The graph of f ( x )=|x| is translated 2 units down on a coordinate plane. Which function represents the result of this translation?

25. Which function is graphed on this coordinate plane?

26. Which function could match this description?

27. Which function has zeros at x = -2 and x = 4?

28. Which equation is equivalent to:

29. Which equation has no real solutions?

30. What are the solutions of the equation:

x2=2 x−5

31. In which graph are f(x) and g(x) inverse functions?

32. If which f ( x )= 3x+1 equation represents

the inverse function of f(x)?

33. The values of three complex numbers are shown.

34. This triangle has the dimensions shown.

35. A small square is inscribed inside a large square, as shown in this figure. The perimeter of the large square is 64 meters. What is the AREA of the small square?

36. This diagram represents the distance between a boat and a lighthouse. Based on the diagram, which equation must be true?

37. The tangent of α in this diagram is 724

. The height of the mountain, z, is 1400 feet. Which equation must be true?

38. Circle O is inscribed inside quadrilateral PRST, as shown in this diagram.

39. Segments KJ and KL are tangent to circle P.

40. This diagram shows circle P with FG‖JH .

41. Points N, P, and Q lie on circle O, as shown in this diagram.

The measure of Q̂P is 38°. What is the measure of ∠NPQ?

42. Chord KL is congruent to chord LM in circle O, as shown.

43. An exercise ball has a volume of 2304cubic inches. What is the surface area of the ball?

A. 96sq. in.

B. 192sq. in.C. 288sq. in.D. 576sq. in.

44. The body of this container is in the shape of a cylinder.

45. The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end.

What is the volume, to the nearest cubic millimeter, of the vitamin?

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