Name: ________________________ Class: ___________________ Date: __________ ID: A

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Semester Review 2017-2018

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Find the Area of the Rectangle.

a. 20 in 2 b. 9 in 2 c. 18 in 2 d. 40 in 2

2. Find the perimeter of the rectangle.

a. 23yd b. 46yd c. 120yd d. 7yd

3. Find the area of the triangle.

a. 26m2 b. 19m2 c. 35m2 d. 70 m2

4. Find the perimeter of the triangle.

a. 20 ft b. 15 ft c. 30 ft d. 120 ft

Name: ________________________ ID: A

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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. 94.2 in 2 b. 188.4 in 2 c. 706.5 in 2 d. 286.6 in 2

6. Find the area of the circle.

a. b. c. d.

7. Find the circumference of the circle.

a. 122.5 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

Name: ________________________ ID: A

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10. Find the area of the triangle.

a. 120 ft2 b. 255 ft2 c. 60 ft2 d. 20 ft2

11. Find the lateral surface area of the following prism.

a. 456 cm2 b. 300 cm2 c. 600 cm2 d. 468 cm2

12. 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

unitsb. 305.5 square

unitsc. 320 square

unitsd. Not here

13. Which is closest to the surface area of the cylinder?

a. 38 in2 b. 52 in2 c. 75 in2 d. 12 in2

Name: ________________________ ID: A

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14. What is the lateral surface area of the can shown below?

a. 62.8 in2 b. 94.3 in2 c. 102.1 in2 d. 51.1 in2

15. 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 centimetersb. 128 square centimeters d. 144 square centimeters

16. What is the total surface area of the triangular prism shown below?

a. 468 in2 b. 540 in2 c. 576 in2 d. 700 in2

17. Find the lateral surface area of the following triangular prims.

a. 318.09 m2 b. 295 m2 c. 326 m2 d. 348 m2

Name: ________________________ ID: A

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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 totalsurface area of the cylinder?a. 550 square inches c. 792 square inchesb. 2001 square inches d. 638 square inches

20. What is the total surface area of the rectangular prism shown below?

a. 156.25 in2 b. 162.5 in2 c. 487.5 in2 d. 237.5 in2

21. Rectangle MNPQ is similar to rectangle FGHJ. What is the length of x?

a. 11.2 in. b. 10 in. c. 9.6 in. d. 10.6 in22. Triangle ABC is similar to triangle PQR. What is the m R?

a. 70 b. 80 c. 30 d. 100

Name: ________________________ ID: A

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23. Quadrilateral QRST was dilated to form quadrilateral Q'R'S'T'. What appears to be the scale factor used to createthe dilation?

a. 4 b. 0.5 c. 5 d. 0.2524. 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 5.625 cm25. Parallelogram ABCD is similar to parallelogram MNOP. The mO is 138.4

What is the m C ?

a. 138.4 b. 41.6 c. 32.4 d. 52.4

Name: ________________________ ID: A

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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 units27. 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

Name: ________________________ ID: A

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29. ABC XYZ. Find XY.

a. s = 8 b. s = 33 c. s = 8.25 d. s = 8.76

30. A rectangle is graphed below. What are the new coordinates of Point A after rectangle ABCD is dilated by a scalefactor 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

Name: ________________________ ID: A

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32. Triangle MNP is graphed on a coordinate grid with vertices at M (-3, -6), N (0, 3) and P (6, -3). Triangle MNP isdilated by a scale factor of x with the origin as the center of dilation to create triangle M’N’P’. Which ordered pairrepresents the coordinates of the vertex P’ ?

a. (6 x, 3 x) b.6x

, 3x

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃ c. 6 1

x, 3 1

x

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃ d. 6x, 3xÊ

ËÁÁˆ¯̃̃

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. (x,y) 57

x,57

yÊ

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃

b. (x,y) x 1, y 2ÊËÁÁ

ˆ¯̃̃

c. (x,y) 1.4x, 1.4yÊËÁÁ

ˆ¯̃̃

d. (x,y) x 2, y 1ÊËÁÁ

ˆ¯̃̃

34. Dilate the figure by a scale factor of 1.5 with the origin as the center of dilation. What are the vertices of theimage?

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)

Name: ________________________ ID: A

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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) 14

x,14

yÊ

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃ to create pentagon M’N’P’Q’R’. Which statement is true?

a. Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor isgreater than 1.

b. Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor is lessthan 1.

c. Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor isgreater than 1.

d. Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor is lessthan 1.

37. Trapezoid ABCD is similar to trapezoid LMNO. What scale factor was used to dilate trapezoid ABCD to trapezoidLMNO?

a. 1.33 b. 0.75 c. 0.60 d. 0.45

Name: ________________________ ID: A

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38. Figure ABCDE is similar to figure VWXYZ.

Which proportion must be true?

a.AE

XY CD

VZb.

AB

VW YZ

DEc.

BC

XY DE

YZd.

AB

VW CD

XY

39. Tell whether ABC and XYZ could be similar.

a. are not similar b. could be similar40. 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)

Name: ________________________ ID: A

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41. The Fort Bend County Turtle Races were last weekend. The table below shows the time in minutes eachturtle 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, Crushb. Donatello, Crush, Artie, Bertiec. Bertie, Artie, Crush, Donatellod. 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 46

43. 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 1.8.44. 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. 1.69 X 10-8 b. 16.9 X 10-7 c. 16.9 X 107 d. 1.69 X 108

45. An inch is about 0.0254 meter. How is this number written in scientific notation?a. 2.54 X 10-2 b. 2.54 X 103 c. 2.54 X 10-3 d. 2.54 X 10-1

Name: ________________________ ID: A

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46. Which Venn diagram correctly classifies the numbers , , and -7?

a. c.

b. d.

47. If an electron has a charge of 2.6 × 10-9 units, what is another way to express this measure?a. 2,600,000,000 units c. 26,000,000,000 unitsb. 0.0000000026 units d. 0.00000000026 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 5.7 × 10-5 centimeters. This wavelength expressed instandard form is?a. 0.057 cm c. 570,000,000 cmb. 0.000057 cm d. 570,000 cm

51. What is the solution to the equation 2x - 2 = -x + 10a. x = 5 b. x = 4 c. x = 3 d. x = 12

Name: ________________________ ID: A

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52. An equation is modeled below.

Which statement is true?a. The equation modeled is 4x + 2 = -x + 8 and the solution is x= 1.2b. The equation modeled is 4x - 2 = -x + 8 and the solution is x= 2c. The equation modeled is 4x - 2 = -x + 8 and the solution is x= -2d. The equation modeled is 4x + 2 = -x + 8 and the solution is x= 1.5

53. The equation 5w + 3 = 4w + 9 is modeled below.

What value of w makes the equation true?a. 12 b. 6 c. 1 d. 5

54. Look at the list of numbers below.

Which of the numbers in the list are irrational numbers?

a. and only c. 1.313233 and onlyb. 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 followingtable:

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. 8.64 X 104 c. 8.64 X 103

b. 86.4 X 103 d. 0.864 X 105

Name: ________________________ ID: A

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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 integeb. 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. 0.141414… is an irrational number. c. 9.14 is an integer.

b. 0.01011 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.

Name: ________________________ ID: A

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61. The data in the table represents a linear relationship. Determine the slope and y-intercept of the line on which thepoints lie.

x y-2 -20 -12 0

a. m = 2; y-intercept = -1 c. m = 12

; y-intercept = 2

b. m = 12

; y-intercept = -1 d. m = 2; y-intercept =12

62. It takes Josh 3 minutes to solve 5 math problems. If this relationship represents a directvariation, how many math problems can Josh solve in 24 minutes?a. 72 b. 40 c. 15 d. 8

63. The table shows the wages of a worker in an office. Which equation can be used torepresent how much money, y, the worker earns in x, hours?

a. y = 15.5x + 26 c. y = 10.5x + 5b. y = 10.5x d. y = 5x + 10.5

64. 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. 9665. 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 = 14x + 4

Name: ________________________ ID: A

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66. A proportional relationship is represented by the equation y = 2x. Which graph belowrepresents this relationship?

a. b. c. d.

67. The table below shows the relationship between Meg and Coy’s ages.Meg’s Age, m 8 12 14 20Coy’s Age,c 16 20 22 28

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 + 868. Karla rides her bicycle at 10 miles per hour. Which graph represents this relationship?

a. c.

b. d.

Name: ________________________ ID: A

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69. What are the slope and the y-intercept of the graph of the linear function shown on thegrid?

a. Slope = 4, y-intercept = -6 c. Slope = -4, y-intercept = -1.5

b. Slope = -14, y-intercept = -1.5 d. Slope = 1

4, y-intercept = -6

70. There are about 200 calories in 50 grams of Swiss cheese. Willie ate 280 calories of thischeese. About how many grams of cheese did he eat if the number of calories variesdirectly as the weight of the cheese?a. 35.7 grams b. 80 grams c. 130 grams d. 70 grams

71. Which function is best represented by this graph?

a. y = 12x + 6 b. y = -2x + 3 c. y = 2x + 6 d. y = -1

2x + 3

Name: ________________________ ID: A

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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.

Name: ________________________ ID: A

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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 quarterb. 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.

Name: ________________________ ID: A

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77. Which equation shows the proportional relationship in the table?Time (weeks) 2 5 10Trees Planted 130 325 650

a. y = 2x b. y = 65x c. y = 130x d. y = 2x + 13078. 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.

Name: ________________________ ID: A

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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.