Semester 2 Practice Exam

Transcription

1 Semester 2 Practice Eam A right triangle is shown below. What is the value of? (A) 1 (B) 17 (C) 4 (D) Figure is not drawn to scale. 4. Which of the following measurements represent a right triangle? (A) (B) (C) (D) I., 4, II., 12, 1 III. 4, 24, 8 IV., 7, 74 I and II I, II and III I, II and IV II and IV 2. A 1-foot ladder is placed against a wall. The bottom of the ladder is feet from the wall. To the nearest foot, how far up the wall does the ladder reach? (A) 10 feet (B) 14 feet (C) 16 feet (D) 20 feet. What can be concluded from observing a triangle translated 4 units up and then reflected across the -ais and rotated 90 counter clockwise? (A) The pre-image doubles with each transformation. (B) The pre-image multiplies b 4 with each transformation. (C) The image is similar to the pre-image. (D) The image is congruent to the preimage.. A cone has a diameter of 8 cm and a height of 4 cm. If the height is cut in half then the volume is: (A) One-half as large (B) One-fourth as large (C) Twice as large (D) The same GO ON

2 Semester 2 Practice Eam Find the length of AB. A 8. A 11 angle is rotated 180 degrees clockwise. What is the measure of the angle in the image? (A) 180 (B) 11 (C) 29 (D) 67 B (A) units (B) units (C) 41units (D) 41 units 9. A student dilates the given trapezoid b a scale factor of 2 about the origin. What ordered pair describes the location of point D after the dilation? 10 A D B C What is the distance between (, 2) and ( 2, 1)? (A) 2 (B) 10 (C) 2 (D) 8 (A) ( 0,0 ) (B) ( 1.,1. ) (C) (,) (D) (6,6) GO ON

3 Semester 2 Practice Eam If a figure is reflected over the -ais and then reflected over the -ais, what one transformation would accomplish the same end resulting figure? 1. The shape below was made b putting a hemisphere on top of a cone. What is the total volume of the shape? (A) Dilation (B) Reflection (C) Translation (D) Rotation (A) (B) (C) (D) 0 π cm 48 π cm 60 π cm 68 π cm 11. Which series of transformations will create similar figures? (A) Rotation and Translation (B) Reflection and Rotation (C) Reflection and Dilation (D) Reflection and Translation 14. Triangle EFG has vertices E(, 2), F(2,0), G(8, 2). Find the coordinates of the image of point E after a reflection across the -ais. (A) (2,) 12. The volume of a clinder is 144 π in and the radius is 4 in. What is the height of the clinder? (A) (B) (C) (D) in. 6 in. 9 in. 12 in. (B) ( 2,) (C) (, 2) (D) (, 2) GO ON

4 Semester 2 Practice Eam In the diagram, AB and DE are parallel. AE and BD intersect at point C. 17. ABC is similar to D DEF. Which statement(s) is true? (not drawn to scale) (A) The perimeter of ABC = 29 If B = 70 and E = 4, then what is the measure of DCE? (A) 4 (B) 6 (C) 70 (D) In ABC, m A= 20, m B= 2+ 40, and m C = What is the m C? (A) 1 (B) 17 (C) 0 (D) 7 (B) AB = 12 (C) The area of (D) AC = 1 ABC = ABC JKL, BC = 12, JK = 2., and AB = 10. What is the length of KL? (A) 11. units (B) 9 units (C) units (D). units 19. What value of makes the sstem of equations true? = 14 = + 12 (A) = (B) = 0 (C) = (D) = GO ON

5 Semester 2 Practice Eam Wh is it not possible to make a right triangle using lengths of 60 inches, 40 inches, and 2 inches? 22. Using the picture below, if m 1 = 4 and m 4 = 0, what is the m 1? (A) does not equal 2 (B) equals 2 (C) (60 40) 2 does not equal 2 2 (D) does not equal Using the picture below, find the value of. ( + 17) (2 + 40) 126 (A) 10 (B) 11 (C) 9 (D) 8 (A) 2 (B) 4 (C) 7 (D) GO ON

6 Semester 2 Practice Eam Which pair of variables ma show a positive association? 24. Which scatter plot has a strong positive association between and? (A) = the age of our computer = the value of our computer (B) = the number of pets ou own = our shoe size (C) = average speed ou drove on a road trip = number of hours it took to reach our destination (A) (D) = number of tet messages ou send per month = cost of our monthl cell phone bill (B) (C) (D) GO ON

7 Semester 2 Practice Eam The graph shows the number of members that have been in Theatre club and the number of ears after the club began. 26. The scatter plot shows an individual s age compared to their sitting height. What do the slope and -intercept mean? # of members Sitting Height (cm) Years since beginning Age (ears) Based on the trend shown in the data, predict the ear after which the club will have no members. (A) 1 ear (B) ears (C) 6 ears (D) 8 ears (A) The slope of 60 tells how much the sitting height increases for each 1 ear increase in age. The -intercept is 0 cm and gives the sitting height when the age is 0 ears. (B) The slope of 60 tells how much the sitting height increases for each 1 ear increase in age. The -intercept is 0 cm and gives the sitting height when the age is 0 ears. (C) The slope of 2. tells how much the sitting height increases for each 1 ear increase in age. The -intercept is 0 cm and gives the sitting height when the age is 0 ears. (D) The slope of 2. tells how much the sitting height increases for each 1 ear increase in age. The -intercept is 0 cm and gives the sitting height when the age is 0 ears GO ON

8 Semester 2 Practice Eam Which of the following represent the value of? 2 = 1 0. Which rectangles are similar? (not drawn to scale) I. 9 2 II. 81 III. 1 IV. 1 (A) I (B) I and II (C) III and IV (D) IV (A) 2 and (B) 1 and 2 (C) 1 and (D) None are similar 28. Between which two whole numbers is the square root of 2? (A) 2 and (B) 1 and 2 (C) 8 and 9 (D) 7 and How man solutions does the following sstem of equations have? + 6 = = ( ) (A) One solution (B) Two solutions (C) Infinitel man (D) No solutions 1. What is the solution to the sstem of equations? 10 - (A) ( 2,0) (B) ( 0, 2 ) (C) ( 0, 2) (D) ( 2, 2 ) GO ON

9 Semester 2 Practice Eam The table shows the Titanic survival data. Approimate what percentage of males survived. (A) 20% (B) 0% (C) 0% (D) 7%. Two lines intersect to form a 6 angle. The lines are rotated 90 about the origin. What is the measure of the angle after the transformation? (A) 72 (B) 126 (C) 6 (D) 4 Male Female Total Survived Did not survive Total The table below shows the voting results on a bill in the House of Representatives. Yes No Total Democrats 20% 22% 42% Republicans 7% 21% 8% Total 7% 4% 100% Which statement is true? (A) (B) (C) (D) Fewer representatives voted es than no. Republicans tended to vote es on the bill. Both Democrats and Republicans tended to favor the bill. There are more Democrats than Republicans in the House of Representatives.. What ordered pair satisfies both equations? = 2 1 = + 2 (A) ( 6,9) (B) ( 4, ) (C) ( 2, 1) (D) ( 2, 2) GO ON

10 Semester 2 Practice Eam A total of 92 people attended the school pla. Of the 92 that attended, 8 were children and were female. Not all the females were adults; 2 of the females were children. Which two-wa frequenc table represents this data? (A) (B) (C) (D) Male Female Total Children 0 2 Adults Total Male Female Total Children Adults Total 9 92 Male Female Total Children Adults Total 9 92 Male Female Total Children Adults Total The same figure is transformed using two different transformations. Describe the difference between the two transformations. Transformation 1: (, ) ( 4, 4) Transformation 2: (, ) (, ) (A) The image in Transformation 2 has a perimeter that is times greater than the perimeter of the image in Transformation 1. (B) The image in Transformation 1 has an area that is 2 times greater than the image in Transformation 2. (C) The image in Transformation 2 moves the original image 2 units in each direction. (D) All but one of the vertices in the image of Transformation 1 is different from the original. 8. Which statement supports a scatterplot that shows a negative association? (A) A perfect straight line of points (B) A line that slopes down to the right (C) A random pattern of points (D) The points form a horizontal pattern GO ON

11 Semester 2 Practice Eam Am bus used books at different garage sales. Number of Books Cents Amount Paid (cents) Which graph shows the line of best fit for these data? 40. What is the volume of a hemisphere with a diameter of 12 cm? (A) 288π cm (B) 144π cm (C) 72π cm (D) 6π cm (A) (B) Cents Books 41. For $60, a rock climbing gm offers a earl membership where members can climb as man das as the want and pa $4 per da for equipment rental. Nonmembers pa $10 per da to use the gm and $6 per da for equipment rental. After how man visits is the total cost for a member, including the membership fee and equipment rental, the same as the total cost for nonmembers? (A) (B) Books (C) 9 (D) 12 Cents (C) Which could be an eample of no association? Books (A) A person's shoe size compared to their weight. (B) Your arm span compared to our height. (D) Cents (C) The amount of calories ou consume compared to our weight. (D) A person's salar compared to the number of ears the went to school Books GO ON

12 Semester 2 Practice Eam Free Response 1. The local gm offers two different earl plans: Plan One:$11 per ear Plan Two: $2 per ear plus $ per visit (a) Let T = Total cost of gm membership and v = number of gm visits. Write linear equations to model Plan One and Plan Two. (b) Graph Plan One and Plan Two in a coordinate plane. (c) After how man visits will the cost of the two plans be equal? Show our work to support our answer GO ON

13 Semester 2 Practice Eam Free Response 2. Sketch the graph of ABC ' ' ' for each of the following transformations below using ABC. Write the ordered pairs for the image. A. Reflect it over the -ais. B. Dilate b a scale factor of. 10 A B A B - - C - C A B C A B C C. Rotate it 90 counter clockwise D. Translate it b (, 2) about the origin. A B A B C C A B C A B C GO ON

14 Semester 2 Practice Eam Free Response. A group of 100 students from the USA visited one foreign countr last week. Fift students visited Spain. Of those students, half were female. Thirt percent of all students visited German. Of the students that visited German, one-third was female. a) Complete the two-wa table. France German Spain Total Female 4 Male Total b) Of the students who visited Spain, what is the relative frequenc of males? GO ON

15 Semester 2 Practice Eam Free Response 4. Rand is designing a skateboard ramp as shown in the figure. He wants the sides WX and YZ to be parallel to each other. He also wants the measure of W to be two times the measure of Z. Eplain how he can find the correct measures of these two angles. W X Z Y GO ON

16 PRACTICE MATERIALS KEY SEMESTER 2 Multiple Choice # Question Tpe Common Core State Standard(s) KEY 1 MC 8.G.B.7 A 2 MC 8.G.B.7 B MC 8.G.C.9 A 4 MC 8.G.B.6 C MC 8.G.A.1 D 6 MC 8.G.B.8 D 7 MC 8.G.B.8 B 8 MC 8.G.A.1 B 9 MC 8.G.A. D 10 MC 8.G.A.2 D 11 MC 8.G.A.2 C 12 MC 8.G.C.9 C 1 MC 8.G.C.9 A 14 MC 8.G.A. D 1 MC 8.G.A. B 16 MC 8.G.A. D 17 MC 8.G.A.4 C 18 MC 8.G.A.4 C 19 MC 8.EE.C.8b A 20 MC 8.G.A.6 D 21 MC 8.G.A. A 22 MC 8.G.A. D 2 MC 8.SP.A.1 D 24 MC 8.SP.A.2 D 2 MC 8.SP.A.2 D 26 MC 8.SP.A. D 27 MC 8.EE.A.2 C 28 MC 8.NS.A.2 D 29 MC 8.EE.C.8b D 0 MC 8.G.A.4 D 1 MC 8.EE.C.8a A 2 MC 8.SP.A.4 A MC 8.G.A.1 C 4 MC 8.SP.A.4 B MC 8.EE.C.8b B 6 MC 8.SP.A.4 D 7 MC 8.G.A. A 8 MC 8.SP.A.1 B 9 MC 8.SP.A.2 D 40 MC 8.G.C.9 B 41 MC 8.EE.C.8c B 42 MC 8.SP.A.1 A 1 CR 1 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c - 2 CR 2 8.G.A. - CR 8.SP.A.4-4 CR 4 8.G.A. -