# Pre-Algebra 2

Course Name: Pre-Algebra 2 Course ID: MTHH022256 Student: Arslan Rizvi Student ID: H97684848 Generated Date: June 14, 2021 Progress Test 2 This Progress Test covers the course materials that were assigned in Units 3 and 4. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is important that you do your own work. Only a four-function calculator may be used on progress tests. You may also use scratch paper to work out the solutions. Select the response that best completes the statement or answers the question. ____ 1. In the following right triangle, which ratio is equal to tan R? A. B. C. D. ____ 2. If the length of a leg in a 45-45-90 triangle is 17 yards, what is the length of the hypotenuse? A. 8.5 yards B. 17 yards C. yards D. yards ____ 3. What is the distance between the points (–7, 7) and (7, 8) to the nearest tenth? A. 14.0 B. 19.8 C. 15.7 D. 36.9 ____ 4. In the following right triangle, if q = 45, which equation can you use to find r? A. sin 35° = B. tan 35° = C. cos 35° = D. cos 35° = ____ 5. Find the area of a trapezoid with bases of 10 in. and 4 in. and a height of 3 in. A. 30 in.2 B. 42 in.2 C. 21 in.2 D. 35 in.2 ____ 6. In 432 B.C., part of the Greek city of Olympus was divided into rectangular city blocks measuring 120 feet by 300 feet. To the nearest foot, what is the diagonal distance across each city block? A. 275 ft B. 323 ft C. 420 ft D. 104,400 ft ____ 7. Which of the following sets of numbers could be the lengths of the sides of a right triangle? A. 16, 30, 35 B. 5, 12, 14 C. 9, 12, 15 D. 6, 8, 9 ____ 8. Rounded to the nearest tenth, what is the value of r in right if sin 21 ≈ 0.3584? A. 4.7 B. 14.1 C. 5.0 D. 2.5 ____ 9. A side length of cube B is twice a side length of cube A. If the volume of cube A is 27 cubic meters, what is the volume of cube B? A. 216 m3 B. 729 m3 C. 54 m3 D. 324 m3 ____ 10. What is the value of x in a 30-60-90 triangle when the hypotenuse is 28 ft and x is the long leg? A. ft B. 14 ft C. 14 ft D. 28 ft ____ 11. What is the distance between point A(–3, 4) and point B(4, –1)? A. units B. 7 units C. units D. units ____ 12. If the area of a circle is 85 square inches, what is its approximate diameter? A. 6 in. B. 8 in. C. 10 in. D. 15 in. ____ 13. What is the approximate volume of a cylinder with a diameter of 18 meters and a height of 3 meters? A. 54 m3 B. 243 m3 C. 763 m3 D. 3054 m3 ____ 14. The figure below shows two shaded circles that are the same size inside a rectangle. (All sides and edges are to be touching.) Which statement is true? A. The unshaded area is more than half of the shaded area. B. The unshaded area is less than 1/3 of the total area. C. The shaded area is equal to the unshaded area. D. The shaded area is less than 2/3 the total area of the rectangle. ____ 15. What is the surface area of a rectangular prism with a height of 4 in., a base of 5 in., and a width of 8 in.? A. 92 in.2 B. 104 in.2 C. 160 in.2 D. 184 in.2 ____ 16. Which of the following lengths cannot be the side lengths of a right triangle? A. 9, 12, 15 B. 15, 16, 19 C. 7, 24, 25 D. 24, 32, 40 ____ 17. Find the exact area of a circle with a radius of 11 cm. A. 242 cm2 B. 5.5 cm2 C. 22 D. 121 cm2 cm2 ____ 18. The height of a cylinder is 10 inches, and the diameter of its base is 6 inches. What is the approximate volume of the cylinder? A. 117 in.3 B. 283 in.3 C. 360 in.3 D. 1130 in.3 ____ 19. Find the midpoint W of a segment with endpoints X(2, –6) and Y(–2, 12). A. W(0, 9) B. W(2, 3) C. W(–2, –3) D. W(0, 3) ____ 20. Which space figure can you form from the net shown? A. triangular pyramid B. square pyramid C. triangular prism D. square prism ____ 21. The height of a parallelogram is 13.5 feet. If the base is 4 times the height, what is the area of the parallelogram? A. 45.4625 ft2 B. 54 ft2 C. 182.25 ft2 D. 729 ft2 ____ 22. What is the approximate surface area of a cone that has a slant height of 12.5 meters and base diameter of 12 meters? A. 348 m2 B. 697 m2 C. 319 m2 D. 805 m2 ____ 23. What is the closest whole number to ? A. 8 B. 9 C. 70 D. 80 ____ 24. What is the volume of the hollow region of the concrete cylinder below? A. 325π m3 B. 52π m3 C. 117π m3 D. 351 π m3 ____ 25. A cone has a height of 3 feet. The radius of the base is 4 feet. What is the approximate volume of the cone? A. 12.6 ft3 B. 37.7 ft3 C. 50.2 ft3 D. 150.8 ft3 ____ 26. If the height of a parallelogram is 20 meters, and the base is one-fifth of the height, what is the area of the parallelogram? A. 4 m2 B. 40 m2 C. 80 m2 D. 100 m2 ____ 27. What is the approximate volume of a cone with radius 3 mm and height of 5.6 mm? A. 158.26 mm3 B. 15.68 mm3 C. 28.52 mm3 D. 52.75 mm3 ____ 28. What is to the nearest integer? A. 20 B. 21 C. 22 D. 23 ____ 29. Find the value of x in right , rounded to the nearest tenth, if cos 53 ≈ 0.6018. A. 7.2 B. 9.6 C. 11.2 D. 11.4 ____ 30. In the right triangle: , which ratio is equal to tan A? A. B. C. D. ____ 31. What is the value of the expression A. 12 B. 24 C. 36 D. 48 when m = 4 and n = 12? ____ 32. You have a glass prism with length 9 feet, height and width of 3 feet. If the prism has an open top and a wooden floor, how many square inches of glass are needed for the lateral area of the display? A. 24 ft2 B. 36 ft2 C. 72 ft2 D. 126 ft2 ____ 33. In a “golden rectangle” the ratio of length l to height h is about 1.7, where the length is greater than the height. If a golden rectangle has a height h of 25 feet, what is the approximate length of its diagonal? A. 43 ft B. 49 ft C. 3 ft D. 50 ft ____ 34. If the length of each side of a cube is doubled, how does that affect its surface area? A. It triples. B. It doubles. C. It quadruples. D. It increases by 4. ____ 35. How many cubes with edge lengths of 1 inch are needed to fill a box that is 10 inches by 14 inches by 12 inches? A. 428 B. 560 C. 856 D. 1,680 ____ 36. Given that is a right triangle, y = 16, and that tan 27° ≈ 0.5095, what is the approximate value of x? A. 0.5 B. 8.2 C. 7 D. 9.6 ____ 37. Which of the following numbers is irrational? A. B. C. D. ____ 38. Figure A is a rectangle 8 in. long and 6.5 in. high. Figure B is a triangle 8 in. long and 6.5 in. high. Which statement is true about the areas of Figures A and B? A. A = B B. A < B C. D. A = 2B ____ 39. What is the volume of a rectangular prism with a length of 16 inches, a height of 4 inches, and a width of 12 inches? A. 48 in.3 B. 768 in.3 C. 1810 in.3 D. 2413 in.3 ____ 40. If a rectangle has a perimeter of 110 ft and a length of 23 ft, what is its area? A. 2530 ft2 B. 32 ft2 C. 2001 ft2 D. 736 ft2 ____ 41. Find the volume of a cone with diameter 12 cm and height 9 cm. A. 56.52 cm3 B. 339.12 cm3 C. 381.51 cm3 D. 753.60 cm3 ____ 42. Each leg of a 45-45-90 triangle has a length of 15 units. What is the length of the hypotenuse? A. 7.5 units B. units C. 15 units D. 15 units ____ 43. What is the volume of a rectangular prism with a height of 4 in., a base of 5 in., and a width of 8 in.? A. 92 in.3 B. 104 in.3 C. 160 in.3 D. 184 in.3 ____ 44. If the diameter of a circle is 24 meters, what is the approximate area? A. 38 m2 B. 452 m2 C. 75 m2 D. 1809 m2 ____ 45. The base area of a triangular pyramid is 30 square centimeters. If the height of the pyramid is 6 centimeters, what is the volume of the pyramid? A. 40 cm3 B. 50 cm3 C. 60 cm3 D. 180 cm3 ____ 46. What is the approximate surface area of a cylinder with a radius of 3 yd and a height of 3.2 yd? A. 284 yd2 B. 25.3 yd2 C. 88 yd2 D. 116 yd2 ____ 47. Which of the following expressions represents the area of the figure? A. (3 + 6)2 B. 9 • 6 + (6 + 3) C. 62 + 3 • 6 D. 62 + (3 • 6) ____ 48. Find the volume of a globe with a diameter of 20 cm. Round to the nearest whole. A. 2,355 cm3 B. 33,493 cm3 C. 12,560 cm3 D. 4,187 cm3 ____ 49. What is the midpoint of the segment with endpoints (–8, 8) and (4, 6)? A. (–2, 7) B. (–1, 6) C. (0, 5) D. (6, –1) ____ 50. A child’s volleyball has a radius that is 3/4 the radius of a regulation size basketball with a radius of 10.8 cm. What is the surface area of the child’s volleyball? Round to the nearest whole. A. 92 cm2 B. 2,226 cm2 C. 1,466 cm2 D. 824 cm2 Carefully review your answers on this progress test and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to the online test submission page in the presence of your proctor. The University of Nebraska is an equal opportunity educator and employer. ©2021, The Board of Regents of the University of Nebraska. All rights reserved.

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