Student Name # Teacher Class Period MATH 8 FINAL EXAM Review Packet Page 1 of 19
Show all work. 1. The radius of a cylinder is 6 cm. The height is 10 cm. Find the volume of the cylinder. Leave your answer in terms of π. V = r 2 h 2. Triangle WXY is the image of triangle MNO, after a dilation of scale factor 4, what is the length of side WX? M W 2 in. N 5 in. O X Y 3. The average distance from the Earth to the moon is about 678,000 kilometers. What is this number written in scientific notation? 4. Which point on the number line shows? F G H I 5 5.5 6 5. Between which two integers does lie on the number line? Page 2 of 19
6. What are the slope and y-intercept of the linear equation below? y = 1 x 3 4 slope = y-intercept = 7. Which of the following represents an irrational number? A. 360 C. 40 9 B. 21 D. 28.0 76 8. What is the volume of a sphere with a radius of 6 inches? Leave your answer in terms of pi. V= 3 4 r 3 9. What is the y -intercept of the linear equation below? Hint: Put in slope-intercept form first (y = mx + b) 4x + 2y = 12 Page 3 of 19
10. Solve the equation below for x. 5x 8 = 12 + x 11. What is the value of b in the equation below? 3(b 1) = 5b + 11 12. Given the right triangle below, find the length of side b. 13. Which of the following symbols results in a true number sentence when placed in the blank? 15.45 A. = C. < B. > D. x Page 4 of 19
14. What vocabulary term means same shape and same size? 15. Parallel lines l and m are intersected by transversal t as shown below. Which of the following angles are alternate exterior angles? A. 1 and 5 C. 2 and 7 B. 4 and 6 D. 3 and 6 16. What is the value of n in the equation below? 7(n + 6) = 3(n 3) + 15 17. The slope of a line is 5 and the y intercept is (0, 2). What is the equation of the line in slope intercept form? Page 5 of 19
18. What is the value of n in the triangle below? 19. Using exponents, what is the simplified form of the expression? 20. Using exponents, what is the simplified form of the expression 6 4 6 5? 21. What is the simplified form of the expression (2x 2 ) 3? 22. Write the equation 9x + 3y = 6 in slope-intercept form (y = mx + b). Page 6 of 19
23. Which of the following symbols when placed in the blank results in a true number sentence? A. = C. < B. > D. x 24. What type of relationship is shown in the scatter plot below? A. positive C. skewed B. negative D. no relationship 25. Multiply: (Write your answer using only positive exponents) 26. What is the value of the expression below x written in scientific notation? (3.5 10 5 )(4 10 2 ) Page 7 of 19
27. What is the slope of the points (3,6) and (-1,-4)? 28. What is the rate of change of the function represented in the table below? x y -8-8 -4 0 0 8 4 16 29. What is the value of the expression below written in scientific notation? (6.9 10 5 ) (3.1 10 3 ) 30. Which transformations could have been used to map Figure A onto Figure B? Figure A Figure B A. dilation, reflection C. translation, rotation B. dilation, translation D. reflection, rotation Page 8 of 19
31. Using the line of best fit in the scatter plot below, estimate the Mean Temperature in July when the Mean Rainfall per year is 39 inches. 32. What is the value of? 33. Using exponents, what is the simplified form of the expression? 34. Which of the following is equivalent to 2 3? A. -8 B. -6 C. D. Page 9 of 19
35. What is the slope of the function shown in the table? x 12 6 0-6 -12 y -4-2 0 2 4 36. What is the value of the expression? 37. Solve for x : 8x x + 10 = 12 9x 2 38. A hotel taxi service charges $0.75 per mile plus $8.25. A customer hires a shuttle, and the total charge is $12.75. Which equation can be used to determine the number of miles (m) from the hotel to the airport? A. 0.75m + 8.25 = 12.75 C. 9.0m = 12.75 B. 78.25m + 0.75 = 12.75 D. 7.5m = 12.75 Page 10 of 19
39. The table shows how much Addison earns for working various numbers of hours at a part-time job. What is the rate of change? Hours, x Earnings($), y 10 65.50 15 98.25 20 131.00 40. The population of the United States is about 2.5 10 7 people. What is this number written in standard form? 41. Using exponents, what is the simplified form of the expression below? c c c d d c d c c d 42. What is the solution to the system of linear equations shown below? Page 11 of 19
43. Find the y-intercept in the table below. x -4 0 4 8 12 y -10-5 0 5 10 44. What is the solution to the system of equations below? 5x 7y = 7 5x + 4y = 11 45. What is the slope of the line that passes through points R (0, 3) and T ( 3, 6)? 46. Robert has $240 in his savings account. He plans to save an additional $20 each month. Which function can Robert use to determine how much he will have saved s after m months? A. s = 240m + 20 C. s = 20m + 240 B. s = 260m D. s = 20m Page 12 of 19
47. What type of transformation is represented by the figures below? Figure A Figure B A. dilation C. rotation B. reflection D. translation 48. What is the solution to the system of linear equations shown below? 49. Which linear function has the steepest slope? A. y = 4 1 x 5 C. y = 5x 2 B. y = 2 1 x + 3 D. y = 7x + 1 50. Which of the following statements about a line of best fit is not true? A. About half of the points are below the line. B. All of the data points have to be on the line. C. About half of the points are above the line. D. Most of the data points are close to the line. Page 13 of 19
51. If point H ( 8, 3) is translated 4 units right and 6 units up, what are the coordinates of the translated image? 52. What is the value of x in the figure below? x 65 53. Which transformation does not result in an image congruent to the original figure? A. translation C. rotation B. dilation D. reflection 54. Which set lists the values below from least to greatest? 2 1 1 ( 2,,1.2 10, 2 ) 2 55. What is the value of x in the figure below? Page 14 of 19
56. What is the value of v in the equation below? 3(4v + 2) = 2(4v - 13) 57. What is the solution to the equation below? 0.6p + 0.2 = 1.28 58. Parallel lines l and m are intersected by transversal t as shown below. Which of the following angles are supplementary? 5 6 7 8 1 2 3 4 A. 3 and 7 C. 3 and 4 B. 1 and 4 D. 1 and 5 Page 15 of 19
59. Mary enlarged a 4- by 6-inch photo to a 14- by 21-inch photo. What is the scale factor of the dilation? 60. The legs of a right triangle measure 12 units and 35 units. What is the measure of the hypotenuse? Round to the nearest tenth if necessary. 61. If m 2 = 140, what is m 6? 62. In the figure below, what is m 4 if m 8 = 40? Page 16 of 19
63. What is the value of x in the triangle at the right? 64. Find the slope of the line in the graph below. 65. Solve the system of equations below. 8x + 4y = 12 3x + y = -13 Page 17 of 19
66. Which of the following figures show a 90 counterclockwise rotation of the figure shown below? A. C. ' B. D. 67. If the measure of an angle is 42, find its complement. 68. The dilation of CD is shown below. What is the scale factor of the dilation? Page 18 of 19
69. What is the scale factor of the dilated figure shown below? A. 4 C. 0.5 B. 2 D. 0.25 70. Point A ( 8, 4) is reflected across the y-axis. What are the coordinates of the image? Page 19 of 19