Pre-Algebra 8 Semester 2 Practice Exam A

Transcription

1 1. A right triangle is shown below. What is the value of x? (A) 6 (B) 9 12 (C) 4 (D) 81 1 x Figure is not drawn to scale. 4. Which of the following measurements represent a right triangle? (A) (B) I., 6, 7 II. 6, 8, 10 III. 4, 8, 80 IV., 26, 10 I and II II and III (C) I and IV (D) II and IV 2. A rectangular photograph has side lengths of 7 inches and 1 inches. To the nearest inch, how long is the diagonal of the photograph? (A) 6 inches (B) 11 inches (C) 1 inches (D) 20 inches. What can be concluded from observing a triangle translated 2 units to the right and then reflected across the x-axis twice? (A) The area of the triangle doubles. (B) The length of each side of the triangle remains the same. (C) The location of the triangle remains the same. (D) The measure of each angle in the triangle doubles.. A cone has a diameter of 8 cm and a height of 4 cm. If the height doubles then the volume is: (A) Four times larger (B) Three times larger (C) Twice as large (D) The same GO ON Clark Count School District Revised /1/2014

2 6. Find the length of AB. A B 8. A line segment that is units long is translated so that one endpoint of the image is ( 6,9 ). What is the other endpoint of the image? (A) ( 1, 4 ) (B) ( 6, 4 ) (C) ( 11,14 ) (D) ( 6,1 ) (A) 4 units (B) 8 units (C) 2 units (D) 2 units 9. A student dilates the given hexagon b a scale factor of 1:2about the origin. What ordered pair describes the location of point A after the dilation? 10 F A B E D C 7. What is the distance between (,1) and (2, 1) (A) 1 (B) (C) 21 (D) x (A) ( 8,16 ) (B) (4,8) (C) (2,4) (D) ( 1, 2 ) GO ON Clark Count School District Revised /1/2014

3 10. If a figure is reflected over the x-axis and then reflected over the -axis, 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) (B) (C) (D) 40 π cm 42 π cm 60 π cm 62 π cm (A) Dilation (B) Reflection (C) Translation (D) Rotation 11. Which series of transformations does not maintain congruence? (A) Rotation and Translation (B) Reflection and Rotation (C) Reflection and Translation (D) Reflection and Dilation 14. Triangle EFG has vertices E( 4, 2), F(0,6), G(6,2). Find the coordinates of the image of point E after a reflection across the x-axis. (A) ( 2, 4) (B) ( 4,2) (C) (4, 2) (D) (4,2) 12. The volume of a clinder is 108π in and the radius is 6 in. What is the height of the clinder? (A) in. (B) 6 in. (C) 9 in. (D) 12 in GO ON Clark Count School District Revised /1/2014

4 1. In the diagram, AB and DE are parallel. AE and BD intersect at point C. 17. ABC is similar to DEF (not drawn to scale). Which statement(s) is true? If B = 4 and E = 6, then what is the measure of DCE? (A) 4 (B) 6 (C) 70 (D) In ABC, m A= x, m B = 2x+ 0, and m C = x 10. What is the m C? (A) 0 (B) 2 (C) 10 (D) 1 (A) The area of DEF = 6 (B) DE = 8 (C) The perimeter of DEF = 19 (D) AC = 18. ABC JKL, AC = 7, AB =, and JL =.. What is the length of JK? (A) 2. units (B). units (C) 10 units (D) 14 units 19. Kate borrows $40 from her mother and agrees to pa her back the same amount each month without interest. After months she still owes her mother $60. Choose the linear function that models the amount Kate owed her mother each month since she borrowed the mone. (A) = 60 90x (B) = 60 18x (C) = 40 90x (D) = 40 18x GO ON Clark Count School District Revised /1/2014

5 20. Wh is it not possible to make a right triangle using lengths of 6 inches, 4 inches, and 2 inches? 22. Using the picture below, if m 1 = and m 4 = 60, what is the m 10? (A) 6 4 does not equal 2 (B) 6 4 equals 2 (C) does not equal 2 2 (D) (6 4) 2 does not equal Using the picture below, find the value of x? ( x + 8) (x + 20) 108 (A) 10 (B) 11 (C) 7 (D) 6 (A) 180 (B) 108 (C) 72 (D) GO ON Clark Count School District Revised /1/2014

6 2. Which pair of variables ma show a negative association? 24. Choose the graph that shows a strong negative association between x and. (A) x = the number of hours ou studied for a test = our test score (B) x = the number of pets ou own = our shoe size (C) x = average speed ou drove on a road trip = number of hours it took to reach our destination (D) x = number of text messages ou send per month = cost of our monthl cell phone bill (A) (B) (C) (D) x x x x GO ON Clark Count School District Revised /1/2014

7 2. Which equation best describes the line of best fit for the data shown in the scatter plot? 26. The scatter plot shows arm span length compared to an individual s height. What do the slope and -intercept mean? (A) (B) x = x+ 7 1 = x+ 8 (C) = x+ 8 (D) = 4 (A) The slope of 4 tells how much the arm span increases for each 1 in. increase in height. The -intercept is 4 in. and gives the arm span when the height is 4 in. (B) The slope of 1 tells how much the arm span increases for each 1 in. increase in height. The -intercept is 40 in. and gives the arm span when the height is 40 in. (C) The slope of 1 tells how much the arm span increases for each 1 in. increase in height. The -intercept is 0 in. and gives the arm span when the height is 0 in. (D) The slope of 2 tells how much the arm span increases for each 1 in. increase in height. The -intercept is 0 in. and gives the arm span when the height is 0 in GO ON Clark Count School District Revised /1/2014

8 27. Jesse drives home from school, runs into the house and grabs his sweatshirt and quickl leaves the house to go to swim practice. Which graph best shows this situation? (A) distance from home (B) distance from home (C) time time 28. A pupp was born weighing 4 pounds and gains pounds each month. Which line best represents the growth of the pupp? Weight in pounds Pupp Growth D C B A Number of months (A) line A (B) line B (C) line C (D) line D distance from home (D) time 29. Which rectangles are similar (not drawn to scale)? distance from home time (A) 2 and (B) 1 and 2 (C) 1 and (D) 1, 2 and GO ON Clark Count School District Revised /1/2014

9 0. The graph shows Lisa s walking speed on her treadmill. Approximatel how long did she maintain a constant speed? 1. The table shows the Titanic survival data. Approximate what percentage of survivors were male. Male Female Total Survived Did not survive Total (A) 1 minutes (B) 20 minutes (C) 0 minutes (D) 6 minutes (A) 16% (B) 21% (C) 2% (D) 1% 2. The equation of a line is = 2x+ 1. How does a translation of 2 units right and 7 units up affect their slope? (A) The slope increases b 7. (B) The slope increases b 2. (C) The rise increases b 7 and run increases b 2. (D) The slope remains the same GO ON Clark Count School District Revised 10/12/2011

10 . A total of 00 people were asked which the preferred, hot dogs or hamburgers. Of the 00 people, 160 were male. Hot dogs were preferred b 60 females; hamburgers were preferred 70 males. Which two-wa table represents this poll? (A) (B) (C) (D) Preferred Preferred Hot Dogs Hamburgers Total Male Female Total Preferred Preferred Hot Dogs Hamburgers Total Male Female Total Preferred Preferred Hot Dogs Hamburgers Total Male Female Total Preferred Preferred Hot Dogs Hamburgers Total Male Female Total The two wa relative frequenc table shows the results of whether people of different ages prefer to get their news through television or newspaper, or through an online source. Newspaper or Television Online Total 40 ears old or less 2% 20% 4% Over 40 ears old 9% 16% % Total 64% 6% 100% What conclusion can be made from the table? (A) People less than 40 ears old prefer online news to newspaper/television. (B) There were people who were 40 ears old or older and 4 people who were under 40 ears old. (C) Online news is preferred overall to newspaper/television news. (D) People over 40 ears old prefer newspaper/television news more than people who are 40 ears old or ounger GO ON Clark Count School District Revised 10/12/2011

11 . The same figure is transformed using two different rules. Describe the difference between the two given transformations. Transformation 1: ( x, ) ( x 4, 4) Transformation 2: ( x, ) (2 x, 2 ) (A) The image in Transformation 2 has a perimeter that is 2 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. 6. Which statement supports a scatterplot that shows a no association? Tips ($) Tips ($) Items Sold Beck receives tips for some of her sales. Number of Items Sold Tips Collected ($) Which graph shows the best model for the data? (A) (B) (A) A perfect straight line of points (B) A random pattern of points (C) A line that slopes up to the right (D) The points form a horizontal pattern (C) Tips ($) Items Sold Items Sold Tips ($) (D) Items Sold GO ON Clark Count School District Revised 10/12/2011

12 8. What is the volume of a sphere with a diameter of 12 cm? (A) 864π cm (B) 76π cm (C) 288π cm (D) 144π cm 9. The table shows points on a line. 40. Which could be an example of a negative association? (A) The length a person can jump compared to their height. (B) Your arm span compared to the length of our leg. (C) The amount of calories ou consume compared to our weight. (D) The number of people that see a movie each time it is shown compared to length of time a movie is at the theatre. x What are the -intercept and rate of change of the line? (A) intercept = Rate of change = (B) intercept = 4 Rate of change = 2 (C) intercept = 8 Rate of change = (D) intercept = Rate of change = GO ON Clark Count School District Revised 10/12/2011

13 Semester 2 Practice Exam Free Response 1. A rectangular prism is show in the diagram below. A B C D 6 mm E 6 mm F G 8 mm H a) What is the length of the line segment that extends between vertex A and vertex H? Leave our answer in square root form GO ON Clark Count School District Revised 10/12/2011

14 Semester 2 Practice Exam 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 x-axis. B. Dilate b a scale factor of A B C x A B C x A B C A B C C. Rotate it 90 counter clockwise D. Translate it b( x, 2). about the origin. A B x A B x C C A B C A B C GO ON Clark Count School District Revised 10/12/2011

15 Semester 2 Practice Exam Free Response. A group of 100 students from the United States visited one foreign countr last week. 0 students visited Spain. Of those students, half were female. Thirt percent of all students visited German. Of the students that visited German, one-third were female. a) Complete the two-wa table. France German Spain Total Female 4 Male Total b) Of the students who visited German, what is the relative frequenc of males? GO ON Clark Count School District Revised /1/2014

16 Semester 2 Practice Exam 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 three times the measure of Z. Explain how he can find the correct measures of these two angles. W X Z Y GO ON Clark Count School District Revised /1/2014