Semester Review

Transcription

1 Class: Date: Semester Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the Area of the Rectangle. a. 20in 2 b. 9in 2 c. 18in 2 d. 40in 2 2. Find the perimeter of the rectangle. a. 23 yd b. 46 yd c. 120yd d. 7yd 3. Find the area of the triangle. a. 26m 2 b. 19m 2 c. 35m 2 d. 70 m 2 4. Find the perimeter of the triangle. a. 20 ft b. 15 ft c. 30 ft d. 120ft 21

2 5. A circular railroad-crossing sign has a diameter of 30 inches. Which measurement is closest to the area of the sign in square inches? a. 94.2in 2 b in 2 c in 2 d in 2 6. Find the area of the circle. a. b. c. d. 7. Find the circumference of the circle. a in b. c. d. 245 in 8. Find the circumference of the circle. Round your answer to the nearest tenth place value. a. Answer: b.. 9. Find the perimeter of the triangle. a. 90 ft b. 360 ft c. 49 ft d. 369 ft 2

3 10. Find the area of the triangle. a. 120ft 2 b. 255ft 2 c. 60ft 2 d. 20ft Find the lateral surface area of the following prism. a. 456 cm 2 b. 300 cm 2 c. 600 cm 2 d. 468 cm A triangular prism is shown below. What is the total surface area of the prism? What is the total surface area of the prism? a. 299 square units b square units c. 320 square units 13. Which is closest to the surface area of the cylinder? d. Not here a. 38 in 2 b. 52 in 2 c. 75 in 2 d. 12 in 2 3

4 14. What is the lateral surface area of the can shown below? a in 2 b in 2 c in 2 d in A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? a. 192 square centimeters c. 152 square centimeters b. 128 square centimeters d. 144 square centimeters 16. What is the total surface area of the triangular prism shown below? a. 468 in 2 b. 540 in 2 c. 576 in 2 d. 700 in Find the lateral surface area of the following triangular prims. a m 2 b. 295 m 2 c. 326 m 2 d. 348 m 2 4

5 18. What is the lateral surface area of the cylinder shown below? a. b. c. 19. A cylinder has a radius of 7 inches and is 11 inches tall. Which of the following is closest to the total surface area of the cylinder? a. 550 square inches c. 792 square inches b square inches d. 638 square inches 20. What is the total surface area of the rectangular prism shown below? a in 2 b in 2 c in 2 d in Rectangle MNPQ is similar to rectangle FGHJ. What is the length of x? a in. b. 10 in. c. 9.6 in. d in 22. Triangle ABC is similar to triangle PQR. What is the m R? a. 70 b. 80 c. 30 d

6 23. Quadrilateral QRST was dilated to form quadrilateral Q'R'S'T'. What appears to be the scale factor used to create the dilation? a. 4 b. 0.5 c. 5 d Triangle ABC and DEF are similar. What is the length of AB? a. AB 10.5 cm. b. AB 7.5 cm. c. AB 6 cm. d. AB cm 25. Parallelogram ABCD is similar to parallelogram MNOP. The m O is What is the m C? a b c d

7 26. With the origin as the center of dilation, rectangle ABCD will be dilated by a factor of 4 to form rectangle A B C D? What will be the length of A' B'? a. 12 units b. 24 units c. 6 units d. 7 units 27. Figure S was dilated to form figure T. What was the scale factor used? a. 2 b. 4 c. d. 28. Based on the definition of similar figures, are the following 2 figures similar? a. Yes b. No 7

8 29. ABC XYZ. Find XY. a. s = 8 b. s = 33 c. s = 8.25 d. s = A rectangle is graphed below. What are the new coordinates of Point A after rectangle ABCD is dilated by a scale factor of 3? a. A (-2,-1.5) b. (-12,-9) c. A (-12,9) d. A (9,-12) 31. Triangle JKL is dilated to form triangle J K L. What is the scale factor used? a. 1.5 b. 2.5 c. 5 d. 3 8

9 32. Triangle MNP is graphed on a coordinate grid with vertices at M (-3, -6), N (0, 3) and P (6, -3). Triangle MNP is dilated by a scale factor of x with the origin as the center of dilation to create triangle M N P. Which ordered pair represents the coordinates of the vertex P? Ê 6 a. (6 x, 3 x) b. x, 3 ˆ Ê c. 6 1 Ë Á x x, 3 1 ˆ d. Ê6x, 3x Ë Á x Ë Á ˆ 33. Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F G H J. Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F G H J. a. Ê (x,y) 7 x, 5 7 y ˆ Ë Á b. (x,y) Ê Ë Áx 1, y 2ˆ c. (x,y) Ê Ë Á1.4x,1.4yˆ d. (x,y) Ê Ë Áx 2, y 1ˆ 34. Dilate the figure by a scale factor of 1.5 with the origin as the center of dilation. What are the vertices of the image? a. J (1.5, 6), K (9, 6), L (9, 1.5), M (1.5, 1.5) b. J ( 1.5, 6), K ( 9, 6), L ( 9, 1.5), M ( 1.5, 1.5) c. J (6, 1.5), K (6, 9), L (1.5, 9), M (1.5, 1.5) d. J (1.5, 6), K (9, 6), L (6, 1), M (1, 1) 9

10 35. Which of the following statements will always be TRUE about a figure and its dilation? a. The image must be smaller than the preimage. b. The image will be congruent to the preimage. c. A smaller image is called a reduction. d. The image must be one-half as large as the preimage. 36. Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y) Ê 1 4 x, 1 4 y ˆ to create pentagon M N P Q R. Which statement is true? Ë Á a. Pentagon M N P Q R is larger than pentagon MNPQR, because the scale factor is greater than 1. b. Pentagon M N P Q R is smaller than pentagon MNPQR, because the scale factor is less than 1. c. Pentagon M N P Q R is smaller than pentagon MNPQR, because the scale factor is greater than 1. d. Pentagon M N P Q R is larger than pentagon MNPQR, because the scale factor is less than Trapezoid ABCD is similar to trapezoid LMNO. What scale factor was used to dilate trapezoid ABCD to trapezoid LMNO? a b c d

11 38. Figure ABCDE is similar to figure VWXYZ. Which proportion must be true? a. AE XY CD VZ b. AB VW YZ DE c. BC XY DE YZ d. AB VW CD XY 39. Tell whether ABC and XYZ could be similar. a. are not similar b. could be similar 40. Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image? a. F (2.5, 3), G (0.5, 5), H (0.5, 1) c. F (3, 2.5), G (5, 0.5), H (1, 0.5) b. F ( 3, 2.5), G ( 5, 0.5), H ( 1, 0.5) d. F (3, 2.5), G (5, 0.5), H (2, 1) 11

12 41. The Fort Bend County Turtle Races were last weekend. The table below shows the time in minutes each turtle took to complete one lap. Which of the following lists the turtle s names in order from the least time to greatest time? a. Donatello, Artie, Bertie, Crush b. Donatello, Crush, Artie, Bertie c. Bertie, Artie, Crush, Donatello d. Crush, Bertie, Artie, Donatello 42. Between which two consecutive integers does lie? a. 22 and 23 b. 6 and 7 c. 5 and 6 d. 44 and An equation is modeled below. What is the equation modeled and the solution to the equation? a. The equation is 4x + 9 = x. The solution is -3. c. The equation is 4x = x + 9. The solution is 4. b. The equation is 4x = x + 9. The solution is 3. d. The equation is 5x = 9. The solution is In the year 2000, approximately 169,000,000 personal computers were used in the United States. What is this number expressed in scientific notation? a X 10-8 b X 10-7 c X 10 7 d X An inch is about meter. How is this number written in scientific notation? a X 10-2 b X 10 3 c X 10-3 d X

13 46. Which Venn diagram correctly classifies the numbers,, and -7? a. c. b. d. 47. If an electron has a charge of units, what is another way to express this measure? a. 2,600,000,000 units c. 26,000,000,000 units b units d units 48. Which statement is true? a. Every integer is a counting number. b. Every integer is a rational number. c. Every real number is an integer. d. Every terminating decimal number is an irrational number. 49. Which number line shows the approximation of? a. c. b. d. 50. A red light has a wavelength of approximately centimeters. This wavelength expressed in standard form is? a cm c. 570,000,000 cm b cm d. 570,000 cm 51. What is the solution to the equation 2x - 2 = -x + 10 a. x = 5 b. x = 4 c. x = 3 d. x = 12 13

14 52. An equation is modeled below. Which statement is true? a. The equation modeled is 4x + 2 = -x + 8 and the solution is x= 1.2 b. The equation modeled is 4x - 2 = -x + 8 and the solution is x= 2 c. The equation modeled is 4x - 2 = -x + 8 and the solution is x= -2 d. The equation modeled is 4x + 2 = -x + 8 and the solution is x= The equation 5w + 3 = 4w + 9 is modeled below. What value of w makes the equation true? a. 12 b. 6 c. 1 d Look at the list of numbers below. Which of the numbers in the list are irrational numbers? a. and only c and only b. None of them d. All of them 55. For a science project, Keith measured the stride length in feet of various animals shown in the following table: Which of the following shows the stride length in order from greatest to least? a. II, III,I, IV b. I, IV, II, III c. I, II, III, IV d. IV, I, II, III 56. In one 24-hour day, there are 86,400 seconds. What is this number written in scientific notation? a X 10 4 c X 10 3 b X 10 3 d X

15 57. Two sets of real numbers are shown below. Set A: {..., -4, -2, 0, 2, 4,...} Set B: {2, 3, 5, 7, 11, 13, 17,...} Which of the following statements is true? a. Only set B contains only intege b. Neither set A nor set B contain only integers. c. Only set A contains only integers. d. Both set A and set B contain only integers. 58. Which statement is true? a is an irrational number. c is an integer. b is an irrational number. d. - is an integer. 59. Point D best represents which of the following numbers? a. b. c. d. 60. This Venn diagram shows the relationship of the subsets of the real number system. Which of the following sets would belong to the integer subset but NOT the Whole Number nor Natural Numbers subsets of real numbers? a., b. c. d. 15

16 61. The data in the table represents a linear relationship. Determine the slope and y-intercept of the line on which the points lie. x y a. m = 2; y-intercept = -1 c. m = 1 2 ; y-intercept = 2 b. m = 1 2 ; y-intercept = -1 d. m = 2; y-intercept = It takes Josh 3 minutes to solve 5 math problems. If this relationship represents a direct variation, how many math problems can Josh solve in 24 minutes? a. 72 b. 40 c. 15 d The table shows the wages of a worker in an office. Which equation can be used to represent how much money, y, the worker earns in x, hours? a. y = 15.5x + 26 c. y = 10.5x + 5 b. y = 10.5x d. y = 5x If x varies directly with y, and x = 12 when y = 3, what is x when y = 8? a. 2 b. 32 c. 24 d What is the equation of a line that contains points with coordinates (4, 5) and (7, 17)? a. y = 4x b. y = x + 1 c. y = 4x - 11 d. y = 1 4 x

17 66. A proportional relationship is represented by the equation y = 2x. Which graph below represents this relationship? a. b. c. d. 67. The table below shows the relationship between Meg and Coy s ages. Meg s Age, m Coy s Age,c Which equation represents the relationship between Meg and Coy s ages? a. c = m - 8 b. c = 2m c. c = m + 8 d. m = c Karla rides her bicycle at 10 miles per hour. Which graph represents this relationship? a. c. b. d. 17

18 69. What are the slope and the y-intercept of the graph of the linear function shown on the grid? a. Slope = 4, y-intercept = -6 c. Slope = -4, y-intercept = -1.5 b. Slope = - 1 4, y-intercept = -1.5 d. Slope = 1, y-intercept = There are about 200 calories in 50 grams of Swiss cheese. Willie ate 280 calories of this cheese. About how many grams of cheese did he eat if the number of calories varies directly as the weight of the cheese? a grams b. 80 grams c. 130 grams d. 70 grams 71. Which function is best represented by this graph? a. y = 1 2 x + 6 b. y = -2x + 3 c. y = 2x + 6 d. y = x

19 72. Which set of ordered pairs represents y as a function of x? a. {(2, 1), (4, 2), (6, 3), (8, 4)} c. {(3, 3), (3, 4), (4, 3), (4, 4)} b. {(0, 0), (1, 1), (1, 0), (2, 1)} d. {(1, 5), (1, 5), (2, 10), (2, 15)} 73. Determine the domain and range for the relation. {( 8, 9), ( 5, 7), ( 3, 9), ( 6, 1)} a. Domain: {8, 6, 5, 3} Range: {1, 7, 9} c. Domain: {8, 6, 5, 3} Range: {1, 7} b. Domain: {8, 6, 5} Range: {1, 7, 9} d. Domain: {1, 7, 9} Range: { 8, 6, 5, 3} 74. Which graph represents a non-proportional relationship? a. c. b. d. 19

20 75. The graph below shows the relationship between the number of quarters and the number of dimes in a coin collection. Based on the information in the graph, what is the unit rate of dimes to quarters? a. 2 dimes per quarter c. 1.5 dimes per quarter b. 3 dimes per quarter d. not here 76. A tree in Dante s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year? a. c. b. d. 20

21 77. Which equation shows the proportional relationship in the table? Time (weeks) Trees Planted a. y = 2x b. y = 65x c. y = 130x d. y = 2x Which table describes a function? a. b. c. d. Numeric Response 79. A line contains points with coordinates (9-13) and (6, 5). What is the slope of the line? Record your answer on the grid below. Be sure to use the correct place value. 21

22 80. The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 22