7th Grade Semester 1 Final (Practice Test)

Accelerated Math 7 – First Semester Final Practice Test

Name__________________________________________ Period______ Date____________ Part 1 – Learning Target 7.02: I can create and manipulate algebraic expressions & write and solve equations with rational numbers. 1. Simplify: 7(𝑥 − 2)

A. 7𝑥 − 2 C. 7𝑥 − 5 B. 7𝑥 − 14 D. 7+ 𝑥 − 2 2. Simplify: 2 𝑥 + 3 − 7

A. 2𝑥 − 1 C. 2𝑥 + 10 B. 2𝑥 − 10 D. 2𝑥 + 13 3. What is the solution to the equation: 𝑥 − 24 = 88

A. 𝑥 = 3.6 C. 𝑥 = 112 B. 𝑥 = 64 D. x = 2,112 4. Which of the following phrases describes the expression x+ 3 ? A. The quotient of x and three B. The sum of x and three C. Three less than x D. Three minus x 5. What is the solution to the equation: 𝑥 − 12 = −40

A. 𝑥 = 52 C. 𝑥 = −28 B. 𝑥 = 28 D. x = −52 6. What is the value of 5x+ 2 , when 𝑥 = −2 ?

A. 5 B. −8 C. −12 D. 12

7. What is the value of −6− 5x , when 𝑥 = −4 ?

A. 14 B. −26 C. 26 D. −14 8. The sum of x and twelve is eight. What is the value of x?

A. −7 B. 3 C. 20 D. −4 9. What is the solution to the equation: !

!+ 6 = 4

A. 𝑥 = −4 C. 𝑥 = 5 B. 𝑥 = 20 D. x = − !

!

10. Ethan is thinking of a number. 3 more than four times the number is fifteen. What is the number?

A. 0.3 B. 1.3 C. 3 D. 5 11. Simplify: 7(𝑥 − 5)

A. 7𝑥 + 35 C. 7𝑥 − 5 B. 7𝑥 − 35 D. 7𝑥 − 75 12. Simplify: 3 𝑥 + 8 − 5

A. 3𝑥 + 3 C. 3𝑥 − 19 B. 3𝑥 + 19 D. −3𝑥 + 29 13. What is the solution to: 6x+ 3 = 21

A. 2 B. 6 C. 7 D. 3

7th Grade Semester 1 Final (Practice Test)

14. What is the first step that should be taken to solve the equation 𝑦 + 8 = 48 ? A. Divide both sides of the equation by 8 B. Rewrite 𝑦 + 8 as 8𝑦 C. Divide both sides of the equation by 48 D. Subtract 8 from both sides of the equation 15. Which of the following word phrases describes the expression: 𝑥 − 7 ? A. The product of x and 7 B. The quotient of x and 7 C. The sum of x and 7 D. Seven less than x 16. Solve: !

!=  −11

A. 55 B. −55 C. 50 D. −50

17. Translate this sentence into an equation: Eight more than nine times a number is -23.

A. 8𝑥 + 9 = −23 C. 8 𝑥 + 9 = −23 B. 9𝑥 + 8 = −23 D. 9 8+ 𝑛 = −23 18. Solve the equation: −2 = 2 𝑎 + 5 + (−4𝑎)

A. 7 B. 8 C. 5 D. 6 19. Solve the equation: 6𝑥 − 11− 3𝑥 = 10

A. 6 B. 7 C. 9 D. 8 20. Solve the equation: −2+ 4 3𝑥 + 2 = 42

A. 3 B. −3 C. 4 D. 5

Part 2 – Learning Target 7.03: I can write and solve inequalities in the form of px+q >r or px+q < r. 21. Which symbol means less than ?

A. ≤ B. ≥ C. < D. > 22. Which symbol means greater than or equal ?

A. ≤ B. ≥ C. < D. > 23. What would the circle look like if you were graphing the inequality: 3𝑥 + 7 ≥ −12

A. open/empty C. extra large B. closed/filled in D. very small

24. Which way would the arrow point when you graph the equation: −2𝑥 > −6

A. Up B. Down C. Right D. Left 25. Solve the inequality: −5𝑥 ≥ −25

A. 𝑥 ≤ 5 B. 𝑥 ≥ 5 C. 𝑥 < 5 D. 𝑥 > 5 26. Which inequality represents: A number decreased by 6 is at least 13 ?

A. 𝑥 − 6 < 13 C. 𝑥 − 6 > 13 B. 𝑥 − 6 ≤ 13 D. 𝑥 − 6 ≥ 13

7th Grade Semester 1 Final (Practice Test)

27. Solve the inequality: −5.4+ 𝑥 > −8.3

A. 𝑥 > 2.9 C. 𝑥 > −13.7 B. 𝑥 < −2.9 D. x > −2.9 28. Solve the inequality: !

!!≥ 4

A. 𝑥 > 24 C. 𝑥 ≥ −24 B. 𝑥 ≤ 24 D. x ≤ −24 29. This is the solution to which inequality?

A. 5(𝑥 + 28) ≤ 90 C. 2𝑥 − 12 > −32 B. −5(−4+ 𝑥) ≥ 55 D. −2𝑥 + 6 ≤ 26 30. Which graph is the correct one for: 𝑥 < −7 ? A. B. C. D. 31. Which graph is the correct one for: −18 < 𝑥 − 17 ? A. B. C. D.

32. This is the solution to which inequality?

A. 𝑥 + 13 > 18 C. 3𝑥 + 10 ≥ 82 B. −3𝑥 + 1 > −71 D. 𝑥 − 15 ≤ −10 33. The graph of the inequality 𝑥 > 5 could be described as: A. open circle, arrow left B. closed circle, arrow right C. open circle, arrow right D. closed circle, arrow left 34. This is the solution to which inequality?

A. 𝑥 < 10 C. −𝑥 − 2 > 8 B. 𝑥 − 6 > 16 D. 𝑥 + 4 ≥ 20 35. Which graph is the correct one for: !

!!≥ 1 ?

A. B. C. D. 36. Which graph is the correct one for: 𝑥 − −2 > −1 ? A. B. C. D.

7th Grade Semester 1 Final (Practice Test)

37. Which graph is the correct one for: −2𝑥 + 10 > 24 ? A. B. C. D. 38. Which graph is the correct one for: 9 > 2+ 2𝑥 − 5 ? A. B. C. D.

39. Which graph is the correct one for: −3 𝑥 + 2 < 12 ? A. B. C. D. 40. When solving an inequality, such as 𝑥 + 4 < 8 the graph of the solution has: A. an open circle at 12, arrow left B. a closed circle 12, arrow left C. an open circle at 4, arrow right D. an open circle at 4, arrow left

Part 3 – Learning Target 7.04: I can solve problems and explain formulas involving surface area of geometric solids.

41. The area of the triangle, shown below, is 40 cm². What is the height of the triangle? A. 4 cm B. 6 cm C. 8 cm D. 10 cm 42. The area of the trapezoid is ______. A. 100 mi² B. 200 mi² C. 150 mi² D. 120 mi²

43. The area of the parallelogram is ______. A. 35 ft² B. 50 ft² C. 70 ft² D. 350 ft² 44.    Find the value of h in the trapezoid below. The area of the trapezoid is 36 cm². A. 2 cm B. 3 cm C. 4 cm D. 6 cm

8 mi

10 mi

15 mi

9 mi

10 ft

5 ft 7 ft h

10 cm

7 cm

h

11 cm

7th Grade Semester 1 Final (Practice Test)

45. If the diameter of a circle is 8 feet, then the radius of that circle is: A. 16 feet. C. 4 feet. B. 24 feet. D. 3.14 feet. For questions 46-48, refer to the diagram below:

46. Which of the following are chords in the diagram:

A. 𝐸𝐵  &  𝐸𝐷  𝑜𝑛𝑙𝑦 C. 𝐴𝐹  &  𝐵𝐷  𝑜𝑛𝑙𝑦 B. 𝐴𝐹  𝑜𝑛𝑙𝑦 D. 𝐸𝐷, 𝐸𝐵  &  𝐸𝐶 47. Which of the following is a radius:

A. 𝐴𝐹 B. 𝐵𝐷 C. 𝐸𝐹 D. 𝐸𝐶 48. Which of the following angles are central angles in the E diagram:

A. ∠BEC & ∠AFB B. ∠BFE & ∠DEC C. ∠CED & ∠BEC D. ∠BAC, ∠CAD & ∠BAD 49. Find the measure of the missing angle.

A. 83° B. 73° C. 93° D. 91°

50. Find the circumference of this circle.

A. 3.14 cm B. 37.68 cm C. 6.28 cm D. 18.84 cm 51. A circular swimming pool has a circumference of 47.1 feet. What is the diameter of the swimming pool? A. 3 feet C. 18 feet B. 15 feet D. 13 feet 52. What is the area of circle shown below? Use 3.14 for π. A. 28.26 ft² B. 9.42 ft² C. 3.14 ft² D. 113.04 ft² 53. A rectangular gift box is 8 inches wide, 10 inches long and 5 inches tall. How much wrapping paper is needed to cover the box exactly?

A. 340 in² C. 260 in² B. 450 in² D. 400 in² 54. What is the surface area of the cylinder shown below? Use 3.14 for π. A. 96 m² B. 54 m² C. 226.08 m² D. 351.68 m²

• E

D

C

B

A

F

x° 125°

87° 65°

6 cm

6 m

9 m

3 ft

7th Grade Semester 1 Final (Practice Test)

55. What is the surface area of the figure below? A. 508 in² B. 400 in² C. 384 in² D. 168 in² 56. A cone is sliced parallel to its base. What shaped is formed by the slice? A. Circle C. Sphere B. Rectangle D. Triangle 57. Which of the following is a net for a triangular prism? A. B. C. D. 58. How many Faces (F), Vertices (V) and Edges (E) does this solid have? A. F – 7, V – 7, E – 12 B. F – 6, V – 1, E – 7 C. F – 7, V – 6, E – 12 D. F – 7, V – 12, E – 7

59. What is the name of the solid shown? A. Heptagonal Prism B. Hexagonal Prism C. Pentagonal Prism D. Octagonal Prism 60. What is the lateral area of the figure below? Use 3.14 for π. A. 69.08 cm2 B. 153.86 cm2 C. 417.62 cm2 D. 263.76 cm2

9 in

6 in

10 in

8 in

12 cm

7 cm

7th Grade Semester 1 Final (Practice Test)

Part 4 – Learning Target 7.05: I can solve and explain formulas involving volume of geometric solids.

61. Which label would be appropriate for a volume measurement? A. ft² C. in2 B. m³ D. cm 62. What is the volume of the sphere shown below? Use 3.14 for π. A. ≈ 418.66 cm³ B. ≈ 4,186.66 cm³ C. ≈ 12,560 cm³ D. ≈ 34,464.63 cm³ 63. Cindy has a cylindrical water bottle. The water bottle is 8 inches tall and has a 2 inch radius. Approximately how much water can the water bottle hold? Use 3.14 for π.

A. 16 in³ C. 100 in³ B. 50 in³ D. 85 in³ 64. What is the volume of the cone shown below? Use 3.14 for π. A. ≈ 32 m³ B. ≈ 54 m³ C. ≈ 75 m³ D. ≈ 133 m³ 65. The area of the base of a trapezoidal pyramid is 30 ft². The pyramid is 13.6 feet tall. What is the volume of the pyramid?

A. 68 ft3 C. 304 ft3 B. 136 ft3 D. 480 ft3

66. Volume can be measured in “______ meters”? A. square C. regular B. cubic D. triangular 67. A rectangular prism measures 7 cm by 6.5 cm by 13.2 cm. What is the volume of the prism? A. 65.2 cm³ C. 600.6 cm³ B. 384.5 cm³ D. 818.8 cm³ 68. The area of the base of a square pyramid is 10 yd. The height of the pyramid is 18 yd. What is the volume of the pyramid?

A. 40 yd3 C. 120 yd3 B. 60 yd3 D. 150 yd3 69. A cylinder has been removed from a cube. What is the remaining volume of the solid? Use 3.14 for π. A. 21.86 cm³ B. 87.92 cm³ C. 343 cm³ D. 255.08 cm³ 70. A cylindrical water barrel is 4 feet tall. It has a 1.5-foot radius. What is the volume of the barrel? Use 3.14 for π. A. 28.26 ft3 C. 49.3 ft3 B. 31.4 ft3 D. 78.5 ft3

7 cm

7 cm

7 cm

2 cm

10 cm m

6.8 m 8 m

4 m

7th Grade Semester 1 Final (Practice Test)

71. A rectangular prism is 6 cm long, 4 cm wide and 9 cm tall. What is the volume of the prism? A. 24 cm3 B. 54 cm3 C. 216 cm3 D. 320 cm3 72. What is the volume of the composite solid? A. 256 cm3 B. 320 cm3 C. 482 cm3 D. 510 cm3 73. Most of the volume formulas contain “h”. What does the “h” stand for? A. Base length B. Height C. Area of the Base D. Perimeter of the Base

74. If the volume of the cylinder below is 100.48 cm³, what is the height? Use 3.14 for π. A. 0.5 cm B. 1 cm C. 1.5 cm D. 2 cm 75. When solving a problem like #69, which is the general strategy? A. Find the volume of each solid and add

them together. B. Find the volume of the rectangular prism

and then subtract off the volume of the cylinder.

C. Find the volume of each solid and multiply them.

D. Find the surface area of each solid and subtract them.

5 cm

9 cm

4 cm

10 cm

h

4 cm