Sites Pre-Algebra Part II, (Revision B) Exams & Quizzes Log Out 04 - Lessons 4 & 5, Exam 4 Part 1 of 2 - 0.0/ 49.999508 Points 0.0/ 3.3333 Points Question 1 of 30 You cut square corners with side lengths that are whole numbers from a piece of cardboard with dimensions 20 inches by 30 inches. You then fold the cardboard to create a box with no lid. Which of the following dimensions will give you the greatest volume? A. 12 in. by 22 in. by 4 in. B. 10 in. by 20 in. by 5 in. C. 14 in. by 24 in. by 2 in. D. 10 in. by 24 in. by 6 in. 0.0/ 3.3333 Points Question 2 of 30 The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for pi. A. 1,780 ft3 B. 1,382 ft3 C. 21,363 ft3 D. 5,341 ft3 0.0/ 3.3333 Points Question 3 of 30 Find the volume of a can of soup that has a height of 16 cm and a radius of 5 cm. Use 3.14 for pi. A. 1,256.0 cm3 B. 251.2 cm3 C. 4,019.2 cm3 D. 502.4 cm3 0.0/ 3.3333 Points Question 4 of 30 Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high. A. 960 in.2 B. 689 in.2 C. 714 in.2 D. 664 in.2 Question 5 of 30 The length of a rectangular room is 7.9 m and its width is 8.6 m. Find the area of the room. 0.0/ 3.3333 Points A. 73.96 m2 B. 62.41 m2 C. 67.94 m2 D. 33 m2 Question 6 of 30 Find the area A. 607.32 in. 2 B. 36.7 in. 2 C. 303.66 in. 2 0.0/ 3.3333 Points D. 77.2 in. 2 Question 7 of 30 Find the volume of the cylinder to the nearest cubic foot. Use a calculator. 0.0/ 3.3333 Points A. 236 ft3 B. 942 ft3 C. 75 ft3 D. 251 ft3 Question 8 of 30 Find the area of the rectangle. A. 44 ft2 B. 64 ft2 C. 196 ft2 D. 112 ft2 0.0/ 3.3333 Points Question 9 of 30 Find the area of a triangle with a base of 8 m and a height of 6 m. 0.0/ 3.3333 Points A. 7 m2 B. 48 m2 C. 24 m2 D. 14 m2 Question 10 of 30 0.0/ 3.3333 Points Find the area A. B. C. D. Question 11 of 30 Find the area of the trapezoid. 0.0/ 3.3333 Points A. 92.43 yd2 B. 219.96 yd2 C. 127.53 yd2 D. 439.92 yd2 Question 12 of 30 0.0/ 3.3333 Points Find the area A. 30 yd 2 B. 6.5 yd 2 C. 13 yd 2 D. 15 yd 2 Question 13 of 30 Find the volume of the sphere to the nearest whole number. Use pi = 3.14. 0.0/ 3.3333 Points A. 131 in.3 B. 393 in.3 C. 4,187 in.3 D. 523 in.3 0.0/ 3.3333 Points Question 14 of 30 Renata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator. A. 1,214 in.2 B. 2,040 in.2 C. 2,647 in.2 D. 1,931 in.2 0.0/ 3.3333 Points Question 15 of 30 Write the most precise name for the space figure with the given properties. a lateral surface and two circular bases A. prism B. sphere C. cone D. cylinder Part 2 of 2 - 0.0/ 49.999508 Points Question 16 of 30 0.0/ 3.3333 Points Use a calculator to find the given value. Round to four decimal places. sin 21 A. 0.3584 B. 2.7904 C. 0.9336 D. 0.3839 0.0/ 3.3333 Points Question 17 of 30 Charlene made the sketch below in order to find the height x of a pole. She positioned a mirror on the ground so that she could see the reflection of the top of the pole. Her height, her distance from the mirror, and her line of sight to the mirror determine the smaller triangle. The pole's height, its distance from the mirror, and the distance from the top of the pole to the mirror form a larger similar triangle. Find the height of the pole to the nearest tenth. A. 16.5 ft B. 22.0 ft C. 20.5 ft D. 17.5 ft 0.0/ 3.3333 Points Question 18 of 30 Max is in a control tower at a small airport. He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of . What is the distance of the plane from the base of the tower? Round to the nearest foot. A. 25 feet B. 110 feet C. 56 feet D. 98 feet Question 19 of 30 0.0/ 3.3333 Points Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the distance directly from Ferris to Butte than the distance Wayne found? A. 20 mi B. 25 mi C. 10 mi D. 35 mi Question 20 of 30 0.0/ 3.3333 Points Find the missing side length A. 10 B. 48 C. 28 D. 100 0.0/ 3.3333 Points Question 21 of 30 The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary. A. 15.6 cm B. 22 cm C. 7.8 cm D. 19.1 cm 0.0/ 3.3333 Points Question 22 of 30 For , find the sine, cosine, and tangent of A. sin P = , cos P = , tan P = B. sin P = , cos P = , tan P = C. sin P = , cos P = , tan P = D. sin P = , cos P = , tan P = . 0.0/ 3.3333 Points Question 23 of 30 Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle of elevation from the ground to the top of the pole is . What is the height of the pole? A. 178.0 ft B. 374.3 ft C. 159.8 ft D. 129.3 ft 0.0/ 3.3333 Points Question 24 of 30 Find the midpoint of . A. (3, 1) B. (1, 1) C. (10, 4) D. (4, 4) Question 25 of 30 Use a calculator to find the given value. Round to four decimal places. 0.0/ 3.3333 Points tan 27 A. 0.8910 B. 1.9626 C. 0.4540 D. 0.5095 Question 26 of 30 0.0/ 3.3333 Points In the given right triangle, find the missing length. A. 28 m B. 26 m C. 25 m D. 27 m 0.0/ 3.3333 Points Question 27 of 30 The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary. legs: 28 in. and 15 in. A. 37.5 in. B. 23.6 in. C. 29.6 in. D. 31.8 in. 0.0/ 3.3333 Points Question 28 of 30 The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot. A. about 14 feet B. about 8 feet C. about 11 feet D. about 10 feet Question 29 of 30 Write the tangent ratios for 0.0/ 3.3333 Points A. B. C. D. Question 30 of 30 Find the distance between the two points. Round to the nearest tenth if necessary. (2, 5) and (-1, -5) A. 1 B. 109 C. 10.4 D. 3 Switch to Full View 0.0/ 3.3333 Points Pre-Algebra Quarter 4 Exam Score: ______ / ______ Name: ______________________________ Student Number: ______________________ 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below. 1 Pre-Algebra Quarter 4 Exam 2. Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don't know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences. 3. Use the diagram below to answer the following questions. Type your answers below each question. a. Name three points. b. Name four different segments. c. Write two other names for d. Name three different rays. 2 FG . Pre-Algebra Quarter 4 Exam 4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane's altitude is 1,700 feet. Charlie's eyes are 5.2 feet from the ground. Draw a sketch of this situation (you do not need to submit the sketch). Find the ground distance from Charlie to the plane. Type your answer below. Explain your work. 3 Pre-Algebra Quarter 4 Exam _____ 5. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd? Type your answer in the blank to the left. A. 1 3 B. 1 2 C. 1 4 D. 1 8 6. Identify the number as rational or irrational. Explain. Type your answers below. - 127 7. Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The perimeter of the deck is to be at least 134 feet. a. Write an inequality that represents all possible values for the length of the deck. b. Find all possible values for the length of the deck. 4 Pre-Algebra Quarter 4 Exam 8. Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for. b. How many swimming lessons did she pay for? c. At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237? 9. Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Explain. 10. Identify the number as rational or irrational. Explain. 291.87 5 Pre-Algebra Quarter 4 Exam 11. Is the sequence 5, 9, 15, ... an arithmetic sequence? Explain. Type your answer below. 12. Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newly infected computer causes 8 more computers to become infected. The function y = 8x models this situation. Make a table with integer values of x from 1 to 4 in the space below. 13. For the function y=1 x , make a table with integer values of x from 0 to 4. Then graph the function (you do not need to submit the graph). Does the graph of show exponential growth, exponential decay, or neither? Explain your thinking. 6 Pre-Algebra Quarter 4 Exam _____ 14. Tell whether the sequence 1 , 0,1,2 ... 3 is arithmetic, geometric, or neither. Find the next three terms of the sequence. Type your answer in the blank to the left. A. neither; 7, -20, 61 B. geometric;7, -20, 61 C. arithmetic; 1 1 ,1 ,3 3 3 D. geometric; 1 5 7 3 ,5 ,9 3 9 27 15. Is the sequence 3, 12, 36, ... a geometric sequence? Explain. Type your answer below. 7 Pre-Algebra Quarter 4 Exam _____ 16. Graph the relation in the table. Then use the vertical-line test. Is the relation a function? Type your answer in the blank to the left. x -3 0 1 3 y -4 5 -5 1 A. B. The relation is not a function. The relation is not a function. C. D. The relation is a function. The relation is a function. 8 Pre-Algebra Quarter 4 Exam 17. A building lot in a city is shaped as a 30 -60 -90 triangle. The side opposite the 30 angle measures 41 feet. a. Find the length of the side of the lot opposite the 60 angle. b. Find the length of the hypotenuse of the triangular lot. c. Find the sine, cosine, and tangent of the 30 angle in the lot. Write your answers as decimals rounded to four decimal places. _____ 18. The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study? Type your answer in the blank to the left. 9 Pre-Algebra Quarter 4 Exam A. 50 minutes B. 81 minutes C. 16 minutes D. 100 minutes 19. If you know the number of yards for a measurement, you can change that measure to meters by multiplying the number of yards by 0.9144. a. Write a function rule that relates meters to yards. b. How many meters are equivalent to 7,200 yards? Round your answer to the nearest hundredth, if necessary. c. How many yards are equivalent to 2,500 meters? Round your answer to the nearest hundredth, if necessary. _____ 20. Brandon needs $480 to buy a TV and stereo system for his room. He received $60 in cash for birthday presents. He plans to save $30 per week from his part-time job. To find how many weeks w it will take to have $480, solve 60 + 30w = 480. Type your answer in the blank to the left. A. 16 weeks 10 Pre-Algebra Quarter 4 Exam B. 13 weeks C. 15 weeks D. 14 weeks 11