Semester 2 Practice Exam

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Semester 2 Practice Eam 2014-201 1. A right triangle is shown below. What is the value of? (A) 1 (B) 17 (C) 4 (D) 169 12 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 2014 201 1 GO ON

Semester 2 Practice Eam 2014-201 6. 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 -10-10 7. What is the distance between (, 2) and ( 2, 1)? - -10 (A) 2 (B) 10 (C) 2 (D) 8 (A) ( 0,0 ) (B) ( 1.,1. ) (C) (,) (D) (6,6) 2014 201 2 GO ON

Semester 2 Practice Eam 2014-201 10. 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) 2014 201 GO ON

Semester 2 Practice Eam 2014-201 1. 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) 180 16. In ABC, m A= 20, m B= 2+ 40, and m C = + 24. What is the m C? (A) 1 (B) 17 (C) 0 (D) 7 (B) AB = 12 (C) The area of (D) AC = 1 ABC = 120 18. 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) = 2014 201 4 GO ON

Semester 2 Practice Eam 2014-201 20. 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) 60 40 does not equal 2 (B) 60 40 equals 2 (C) (60 40) 2 does not equal 2 2 (D) 60 2 40 2 does not equal 2 2 21. 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) 126 2014 201 GO ON

Semester 2 Practice Eam 2014-201 2. 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) 4 2 1 4 2 1 1 1 2 4 2 4 (D) = number of tet messages ou send per month = cost of our monthl cell phone bill (B) 4 2 1 4 2 1 1 1 2 4 2 4 (C) 4 2 1 4 2 1 1 1 2 4 2 4 (D) 4 2 1 4 2 1 1 1 2 4 2 4 2014 201 6 GO ON

Semester 2 Practice Eam 2014-201 2. 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 100 90 80 70 60 0 40 0 20 10 Sitting Height (cm) 90 80 70 60 0 40 0 20 10 0 1 2 4 6 7 8 9 10 Years since beginning 2 4 6 8 10 12 14 16 18 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. 2014 201 7 GO ON

Semester 2 Practice Eam 2014-201 27. 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 8 29. How man solutions does the following sstem of equations have? + 6 = 6 + 2 = ( ) (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 ) -10-10 - 10 2014 201 8 GO ON

Semester 2 Practice Eam 2014-201 2. 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 67 44 711 Did not survive 164 126 1490 Total 171 470 2201 4. 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) 2014 201 9 GO ON

Semester 2 Practice Eam 2014-201 6. 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 24 1 9 Total 4 8 92 Male Female Total Children 1 2 8 Adults 16 8 4 Total 9 92 Male Female Total Children 2 8 61 Adults 16 1 1 Total 9 92 Male Female Total Children 1 2 8 Adults 24 0 4 Total 9 92 7. 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 2014 201 10 GO ON

Semester 2 Practice Eam 2014-201 9. Am bus used books at different garage sales. Number of Books Cents Amount Paid (cents) 1 0 2 60 100 7 200 9 20 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) 20 280 240 200 160 120 80 40 Cents 20 280 240 1 2 4 6 7 8 9 10 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? 200 160 (A) 18 120 80 (B) 0 40 1 2 4 6 7 8 9 10 Books (C) 9 (D) 12 Cents (C) 20 280 240 42. Which could be an eample of no association? 200 160 120 80 40 1 2 4 6 7 8 9 10 Books (A) A person's shoe size compared to their weight. (B) Your arm span compared to our height. (D) Cents 20 280 240 200 160 (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. 120 80 40 1 2 4 6 7 8 9 10 Books 2014 201 11 GO ON

Semester 2 Practice Eam 2014-201 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. 2014 201 1 GO ON

Semester 2 Practice Eam 2014-201 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 -10-10 - 10 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 2014 201 2 GO ON

Semester 2 Practice Eam 2014-201 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? 2014 201 GO ON

Semester 2 Practice Eam 2014-201 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 2014 201 4 GO ON

2014 201 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. -