Accelerated Math 7 – Second Semester Final – Practice Testmrvsmath.weebly.com/uploads/1/3/4/5/13456042/semester_2_final_ac… · 7th Grade Semester Final (Practice Test) 19. Two

7th Grade Semester Final (Practice Test)

Accelerated Math 7 – Second Semester Final – Practice Test

Name__________________________________________ Period______ Date____________ Part 1 – Learning Target 5: I can solve problems applying scale factor to geometric figures or scale drawings. 1. What is the value of x in the proportion

!!"= !

! ?

A. 8.3 C. 16.8 B. 10.7 D. 18.5 2. ΔMAT is similar to ΔRUG. Which side of ΔRUG corresponds to AM in ΔMAT? A. RU B. UG C. UR D. RG 3. What is the value for y in the similar figures? A. 6.5 B. 7 C. 7.5 D. 8 4. What is the scale factor for the similar figures? A. 2 : 3 B. 1 : 2 C. 3 : 4 D. 4 : 5

5. Inessa ran 5 laps in 12 minutes. How long would it take her to run 15 laps at this pace? A. 36 minutes C. 24 minutes B. 26 !

! minutes D. 33 !

! minutes

6. Mia ran 12 laps in 10 minutes. How many laps did Mia run in 1 minute? A. 1.3 laps per min B. 1.2 laps per min C. 1.4 laps per min D. 0.83 laps per min 7. Two similar triangles have a scale factor of 2 : 3. The smaller triangle has a perimeter of 18 inches. What is the perimeter of the larger triangle? A. 18 inches C. 27 inches B. 21 inches D. 36 inches 8. Trevor bought 8 packages of cake mix for $22.00. How much would 13 packages of cake mix cost? A. $30.00 C. $36.25 B. $35.75 D. $37.50

32 10

24 y

R

U

G

M

A

T

18

24


Use the figure below for questions 9-11. 9. What is the scale factor? A. 4 : 3 C. 7 : 4 B. 7 : 3 D. 3 : 4 10. What is the ratio of the perimeters? A. 4 : 3 C. 7 : 4 B. 7 : 3 D. 3 : 4 11. What is the ratio of the areas? A. 16 : 9 C. 25 : 9 B. 25 : 16 D. 49 : 9 12. A map has a scale of 1 inch : 8 miles. If two cities are 8 inches apart on the map, how far apart are they in real life? A. 8 miles C. 48 miles B. 16 miles D. 64 miles 13. Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 21 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree. A. 10.5 feet C. 86 feet B. 42 feet D. 39 feet

14. What is the value for x in the similar figures? A. 15 B. 21 C. 22 D. 23 15. A map scale is 1 inch : 6 kilometers. If two cities are 48 kilometers apart in real life, how far apart are they on the map? A. 10 inches C. 8 inches B. 12 inches D. 1 inch 16. A blue print of a house has a scale of 1 inch : 3 feet. Find the actual length of a wall that is 9 inches on the blue print? A. 9 feet C. 27 feet B. 18 feet D. 36 feet 17. Two similar triangles have a scale factor of 2 : 3. The smaller triangle has a perimeter of 16 inches. What is the perimeter of the larger triangle? A. 17 inches C. 21 inches B. 24 inches D. 27 inches 18. A model car has a scale of !

!". The length

of the frame on the model is 8 inches. How long is the frame (in feet) on the real car? A. 144 C. 12 B. 2.25 D. 15

42 cm

18 cm 24

8

5 x


19. Two squares are similar. The smaller one has a side length of 3 and the larger has a side length of 4. What is the ratio of their areas? A. 3 : 4 C. 4 : 3 B. 6 : 8 D. 9 : 16

20. A wildlife ranger caught and tagged 108 rabbits in a forest and then released them back into the wild. Later, he caught 405 rabbits, and of those, 45 had tags. Approximately how many rabbits are in the forest? A. 972 C. 12 B. 169 D. 1000

Part 2 – Learning Target 6: I can apply properties of angle relationships to triangles and quadrilaterals, and parallel lines cut by a transversal to find missing measures.

21. Supplementary angles have to add up to… A. 90 degrees C. 180 degrees B. 270 degrees D. 360 degrees 22. Which is NOT a type of special angle relationship? A. Alternate Interior Angles B. Vertical Angles C. Linear Pair D. Opposite Sideways Angles 23. ∠𝑋 is complementary to ∠𝑌. ∠𝑋 is 39°. What is the measure of ∠𝑌? A. 141° C. 321° B. 51° D. 91° 24. If the 3 angles in a triangle are (x + 4)°, (3x -3)° and 30°, what does x equal? A. 30.75 C. 37.25 B. 37.75 D. 41.25 25. Assuming two lines are parallel and cut by a transversal, the resulting alternate interior angles are... A. Fascinating C. Complementary B. Supplementary D. Congruent

26. The triangle described in problem 24, is what type of triangle?

A. Acute C. Obtuse B. Right D. Equilateral 27. Which of the special angle relationships below does not deal with two congruent angles?

A. Corresponding C. Vertical B. Alt. Exterior D. Same-Side Interior 28. What is the value for x in the figure below? A. 17 B. 27 C. 25 D. 15 29. What is the value for x and y in the figure below? A. 𝑥 = 5,𝑦 = 145 C. 𝑥 = 7,𝑦 = 165 B. 𝑥 = 4,𝑦 = 155 D. 𝑥 = 3,𝑦 = 155

76º (4x + 5)º

3xº

S

C

A

R

yº

4x + 3

19 25º


Use the figure below to answer questions 30 through 35.

30. Name a set of alternate exterior angles. A. ∠𝐺 𝑎𝑛𝑑 ∠𝐷 C. ∠𝐻 𝑎𝑛𝑑 ∠𝐵 B. ∠𝐹 𝑎𝑛𝑑 ∠𝐶 D. ∠𝐴 𝑎𝑛𝑑 ∠𝐻 31. Name a set of supplementary angles.

A. ∠𝐺 𝑎𝑛𝑑 ∠𝐹 C. ∠𝐸 𝑎𝑛𝑑 ∠𝐷 B. ∠𝐴 𝑎𝑛𝑑 ∠𝐸 D. ∠𝐵 𝑎𝑛𝑑 ∠𝐷 32. If the measure of ∠𝐻 is 125°, then what is the measure of ∠𝐹? A. 125° C. 65° B. 55° D. 110° 33. If the measure of ∠𝐵 is 66°, then what is the measure of ∠𝐺? A. 66° C. 114° B. 104° D. 76° 34. What should the sum be for ∠𝐸, ∠𝐹, ∠𝐺 and ∠𝐻? A. 180° C. 90° B. 360° D. 900° 35. What angle relationship do ∠𝐵 and ∠𝐹 create? A. Complementary C. Supplementary B. Corresponding D. Similar

Use the figure below to answer questions 36 through 40.

36. What is the value of A? A. 26° C. 59° B. 95° D. 90° 37. What is the value of B? A. 26° C. 59° B. 95° D. 90° 38. What is the value of C? A. 26° C. 59° B. 95° D. 90° 39. What is the value of D? A. 13 C. 14.4 B. 16.4 D. 18 40. What is the value of E? A. 13 C. 14.4 B. 16.4 D. 18

F

A B C D

G H E

20.8 A

B

C D

17.6

26°

E

59° 9 11


Part 3 – Learning Target 7: I can understand and apply the Pythagorean Theorem.

41. What is the value of 121 ? A. 10 C. 11 B. 12 D. 11.5 42. What is the approximate distance between (8, 2) and (4, 9)? A. 7.3 C. 7.8 B. 8.1 D. 9.2 43. What two integers does 75 fall between?

A. 5 and 6 C. 7 and 8 B. 8 and 9 D. 74 and 76 44. What is the approximate value of 35 to the nearest tenth?

A. 5.8 C. 5.7 B. 5.9 D. 6 45. Solve for x. Round to the nearest tenth, if necessary. 4𝑥! + 3 = 47 A. 𝑥 ≈ ±3.3 C. 𝑥 ≈ ±3.1 B. 𝑥 ≈ ±3.5 D. 𝑥 ≈ ±3.7 46. A rectangular park is being constructed in downtown Beaverton. The designer wants to put a gravel walkway that cuts diagonally through the park. The park is 120 ft wide and 160 ft long. What is the length of the walkway? A. 140 feet C. 160 feet B. 180 feet D. 200 feet

47. Which of the following are not the side lengths of a right triangle? A. 3, 4, 5 C. 7, 24, 25 B. 5, 12, 13 D. 6, 8, 11 48. Solve for x. Round to the nearest tenth, if necessary. 3𝑥! + 7+ 5𝑥! = 79 A. 𝑥 ≈ ±3.3 C. 𝑥 = ±3 B. 𝑥 ≈ ±2.9 D. 𝑥 ≈ ±3.5 49. A square has an area of 289 square inches. What is the length of one side of the square? A. 10 inches C. 17 inches B. 14.1 inches D. 25 inches 50. What is the approximate length of the hypotenuse in the triangle, to the nearest tenth? A. 4.8 B. 17.5 C. 23.2 D. 28.9 51. What is the value of x? Round to the nearest tenth, if necessary. A. x = 4.3 B. x = 5.7 C. x = 6.3 D. x = 5.2

15

9

7

4 x


52. Bill bikes 5 miles south and then 3 miles west. Approximately how far is Seth from his starting point? A. 1.5 miles C. 8.3 miles B. 5.8 miles D. 10.2 miles 53. A rectangular box is 6 inches long, 7 inches wide and 8 inches tall. What is the approximate length of its longest diagonal? A. 9.3 inches C. 12.2 inches B. 10.5 inches D. 18.3 inches 54. What is the length of c on the graph below? A. 5 B. 6 C. 7 D. 25 55. Find the length of the shortest side of the triangle in the diagram below. A. 3 feet B. 4 feet C. 5 feet D. 6 feet 56. The length of one leg of a right triangle is 9 m and the hypotenuse is 16 m. Find the length of the third side. Round to the nearest tenth if necessary. A. 28.8 meters C. 104 meters B. 13.2 meters D. 14.4 meters

57. Sara needs to paint a high wall in her house. She’s using a 14-foot ladder to reach the very top. She places the base of the ladder 6 feet away from the wall. About how high up the wall will the ladder touch? A. 10.8 feet C. 11.5 feet B. 13.2 feet D. 12.6 feet 57. Matt is the catcher for his school’s baseball team. The catcher must be able to throw from home plate to second base. What is the approximate distance from home plate to second base? A. 100 feet B. 112.5 feet C. 127.3 feet D. 132.6 feet 59. What is the approximate distance between (-6, -3) and (-5, 7)? A. 10 C. 10.5 B. 9.5 D. 11 60. Bill is making a garden in the shape of a right triangle. Bill has a problem with deer eating the plants so he wants to fence the garden. Bill has already fenced the two legs. One leg was 10 feet long, the other was 2 feet shorter. About how many feet of fence does he need for the hypotenuse? A. 10.8 feet C. 11.5 feet B. 12.8 feet D. 13.6 feet

c

A=169 ft2

A=144 ft2

90 ft

home plate

90 ft

90 ft 90 ft

second base

first base

third base


Part 4 – Learning Target 8: I can summarize and compare data displays and make inferences about populations using random samples.

Use the data set below to answer questions 61-64.

25, 28, 32, 32, 37, 41, 43, 55, 58 61. What is the mean of the data set above? A. 39 C. 38 B. 41 D. 43 62. What is the median of the data set above? A. 32 C. 41 B. 37 D. 34.5 63. What is the mode of the data set? A. 25 C. 58 B. 43 D. 32 64. What is the range of the data set? A. 25 C. 58 B. 33 D. 58 65. Which measure of center best represents the following data set? 29, 29, 32, 33, 34, 37, 59 A. the mean C. the median B. the mode D. the range 66. What are the mean, median and mode of the following data set?

27, 31, 33, 33, 35, 45

A. Mean = 32, Median = 32, Mode = 33 B. Mean = 33, Median = 32, Mode = 27 C. Mean = 34, Median = 33, Mode = 33 D. Mean = 35, Median = 33, Mode = 45

67. What is the mode of the following data set?

10, 11, 11, 11, 17, 21, 24, 24, 30

A. 11 C. 24 B. 17 D. 11 and 24 Use the histogram below to answer questions 68 and 69.

68. How many values are less than 18 in this histogram? A. 5 C. 7 B. 6 D. 8 69. What is the ratio of values less than 21 to total values? A. 3 : 13 B. 3 : 10 C. 8 : 13 D. 1 : 2 70. Which stems would be best to use to display the following data set?

608, 653, 716, 737, 756, 778, 789, 902, 935

A. 60-93 B. 6, 7, 8, 9 C. 6, 7, 9 D. 1-10


The stem-and-leaf plot shows some of the point totals of students on the latest quiz. Use the information to answer questions 71 and 72. 71. How many students scored above 20 points on this quiz? A. 5 C. 7 B. 6 D. 8 72. If 30 students took this test, about how many would you expect to have scored at least 20 points? A. 13 C. 20 B. 15 D. 24 73. Michael’s goal is to score an average of 18 points per game in his five basketball games. In his first four games, he scored 12, 18, 15, and 20 points. At least how many points will he need in his fifth game to reach his goal? A. 22 C. 19 B. 25 D. 23

The box-and-whisker plot shows the ages of registered drivers in a city. Use the data to answer questions 74 and 75. 74. What was the median age of drivers in this city? A. 36 years old C. 38 years old B. 28 years old D. 52 years old 75. If 100 random drivers were asked their age, what percent would you expect to be 52 or older? A. 25% C. 75% B. 50% D. 20% 76. What are the missing numbers in the data set? Assume the numbers are in order. 23, 24, ___, 29, 33, ___

Range = 15 Mean = 29 A. 29, 37 C. 25, 48 B. 28, 36 D. 27, 38

77. What is the five-number summary of the following data set?

16, 19, 22, 23, 25, 27, 30, 35, 44, 45, 47

A. 19 ~ 23 ~ 27 ~ 44 ~ 45 B. 16 ~ 22.5 ~ 27 ~ 40 ~ 47 C. 16 ~ 22 ~ 27 ~ 44 ~ 47 D. 19 ~ 22 ~ 27 ~ 40 ~ 45

0 8 1 2 7 2 3 3 5 8 3 4 5

Key: 2 | 5 = 25


78. Candace collected data about the number of hours students spend watching TV each week. She determined the five-number summary to be:

1.5 ~ 9 ~ 13 ~ 16.5 ~ 22

What percent of students watched TV for at least 13 hours per week? A. 10% C. 50% B. 25% D. 75% 79. Use the given information to find the missing numbers in the following ordered data set. 13, ___, 22, 25, 28, 29, ___

Range = 22 IQR = 12

A. 22, 25 C. 17, 35 B. 18, 35 D. 17, 37

80. Consider the following data set: 39, 44, 45, 48, 51

A new number, 8, is included in the data set. How will that affect the mean and median of the data set? A. The mean and median will increase the same amount B. The median will change more than the mean C. Neither the mean nor the median will change D. The mean will change more than the median

Part 5 – Learning Target 9: I can describe, verify and use properties of congruence and similarity in transformations. 81. Which of the following is NOT a type of transformation? A. Rotation C. Reflection B. Deflection D. Translation 82. If a pre-image point was at (3, 4) and you reflected it over the y-axis, where would it end? A. (-3, -4) C. (-3, 4) B. (3, 4) D. (3, -4) 83. Which of the following transformations will NOT end with congruent figures? A. Reflection over y-axis B. (x + 3, y – 4) C. (0.75x, 0.75y) D. Rotation 90 degrees clockwise

84. To move a point 5 left and 4 down, what should you do to the x and y coordinates? A. (-5x, 4y) C. (-x , y) B. (x + 5, y – 4) D. (x – 5, y – 4) 85. Triangle ABC starts at A(3, 4), B(5, -2) and C(-1, 3). After rotating the triangle 180 degrees around the origin, where would A’, B’ and C’ be located? A. A’(4, -3) B. A’(-4, -3) B’ (-2, -5) B’ (2, -5) C’ (3, 1) C’ (-3, 1) B. A’(-3, -4) D. A’(4, 3) B’ (-5, 2) B’ (-2, 5) C’ (1, -3) C’ (3, -1)


86. Point A(3, 5) A’ (-3, 5). What happened? A. 90 degree rotation clockwise B. Dilation of -1 C. Reflection over y-axis D. Translation of 6 right 87. Point B(3, 5) B’ (-3, -5). What happened? A. Dilation of 2 B. Translation of 3 right and 2 down C. Rotation of 180 degrees D. Reflection over y-axis 88. Point C(3, 5) C’ (6, 10). What happened? A. Translation of 3 right and 3 down B. Rotation of 90 degrees clockwise C. Dilation of 2 D. Reflection over y-axis 89. Point D(3, 5) D’ (5, -3). What happened? A. Translation of 3 right and 3 down B. Rotation of 90 degrees clockwise C. Dilation of 2 D. Reflection over y-axis 90. Point E(3, 5) E’ (6, 2). What happened? A. Translation of 3 right and 3 down B. Rotation of 90 degrees clockwise C. Dilation of 2 D. Reflection over y-axis

Formulas: The Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. 𝒂𝟐+𝒃𝟐 = 𝒄𝟐 The Distance Formula The distance d between two points (𝑥!,𝑦!) and (𝑥!,𝑦!) is found by: 𝒅 = (𝒙𝟐 − 𝒙𝟏)𝟐 + (𝒚𝟐 − 𝒚𝟏)𝟐

b

a c

Documents

Accelerated Math 7 – Second Semester Final – Practice Testmrvsmath.weebly.com/uploads/1/3/4/5/13456042/semester_2_final_ac… · 7th Grade Semester Final (Practice Test) 19. Two