math 7 – first semester final practice...

7th Grade Semester 1 Final (Practice Test)

Math 7 – First Semester Final Practice Test

Name__________________________________________ Period______ Date____________ Part 1 – Learning Target 1: I can solve problems involving the four operations with rational numbers. 1. What is the result of multiplying a negative integer with a negative integer? A. Positive answer B. Negative answer C. The sign of the larger number D. It depends 2. Kendra bought !

! pounds of almonds. What

is this amount as a mixed number?

A. !! B. 1 !

! C. 1 !

! D. !"

!

3. What is the value of !

!+ !

!" ?

A. !"

!" B. !

! C. !!

!" D. !!

!

4. What is the value of !

! ÷ !

!" ?

A. !"

!" B. !

!" C. !"

!" D. 2

5. Julie bought 3 !

! pounds of apples and 2 !

!"

pounds of bananas. What was the total weight of the fruit she purchased? A. 6 !

! B. 5 !

!" C. 6 !

!" D. 7 !

!

6. What is the value of 8.2 – 1.75? A. 4.55 B. 2.85 C. 6.45 D. 1.85

7. Linda wants to split 9.2 feet of ribbon equally between four gifts. How many feet of ribbon will each gift get? A. 2.3 feet C. 7.2 feet B. 2.8 feet D. 36.8 feet 8. Which of the following fractions is equivalent to !

! ?

A. !

!" B. !"

!" C. !

! D. !"

!"

9. Suzy added 1 !

! cups of flour to her pancake

batter. What is this number as an improper fraction? A. !

! B. !

! C. !"

! D. !

!

10. Kate ate 1.5 servings of pretzels. Each serving is 1.2 ounces. How many ounces of pretzels did she eat? A. 2.3 ounces C. 1.8 ounces B. 2.0 ounces D. 0.7 ounces 11. What is the opposite of 8?

A. −8 B. 0 C. !

! D. 0.8

12. What is the value of 9 ?

A. −9 B. 9 C. 0 D. both 9 &− 9


13. Which of the following lists is in order of least to greatest?

A. −3,−2,−1, 0 C. 1,−3,−4,−5 B. 1,−2,−3,−4 D. −1,−4,−3, 1 14. What is the value of −5+ −4 ?

A. −9 B. −1 C. 9 D. 20 15. What is the value of −70÷ 10 ?

A. −70 B. −7 C. 80 D. −80 16. If Judy withdrew $15 from her bank on Monday, and the next day she deposited $20. What integer represents the total change in her account over these two days?

A. $35 B. $5 C. −$35 D. −$5

17. What is the LCM (least common multiple) of 7 and 5?

A. 35 B. 30 C. 15 D. 21 18. What is the GCF (greatest common factor) of 12 and 18?

A. 48 B. 6 C. 9 D. 72 19. What is the value of: −11 ?

A. 11 B. −11 C. !

!! D. −1.1

20. What is the value of −12− −43 ?

A. −55 B. −31 C. 31 D. 55

Part 2 – Learning Target 2: I can create and manipulate algebraic expressions & write and solve equations with rational numbers. 21. Simplify: 7(𝑥 − 2)

A. 7𝑥 − 2 C. 7𝑥 − 5 B. 7𝑥 − 14 D. 7+ 𝑥 − 2 22. Simplify: 2 𝑥 + 3 − 7

A. 2𝑥 − 1 C. 2𝑥 + 10 B. 2𝑥 − 10 D. 2𝑥 + 13 23. What is the solution to the equation: 𝑥 − 24 = 88

A. 𝑥 = 3.6 C. 𝑥 = 112 B. 𝑥 = 64 D. x = 2,112

24. 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 25. What is the solution to the equation: 𝑥 − 12 = −40

A. 𝑥 = 52 C. 𝑥 = −28 B. 𝑥 = 28 D. x = −52 26. What is the value of 5x+ 2 , when 𝑥 = −2 ?

A. 5 B. −8 C. −12 D. 12


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

A. 14 B. −26 C. 26 D. −14 28. The sum of x and twelve is eight. What is the value of x?

A. −7 B. 3 C. 20 D. −4 29. What is the solution to the equation: !

!+ 6 = 4

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

!

30. 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 31. Simplify: 7(𝑥 − 5)

A. 7𝑥 + 35 C. 7𝑥 − 5 B. 7𝑥 − 35 D. 7𝑥 − 75 32. Simplify: 3 𝑥 + 8 − 5

A. 3𝑥 + 3 C. 3𝑥 − 19 B. 3𝑥 + 19 D. −3𝑥 + 29 33. What is the solution to: 6x+ 3 = 21

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

34. 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 35. 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 36. Solve: !

!= −11

A. 55 B. −55 C. 50 D. −50 37. 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 38. Solve the equation: −2 = 2 𝑎 + 5 + (−4𝑎)

A. 7 B. 8 C. 5 D. 6 39. Solve the equation: 6𝑥 − 11− 3𝑥 = 10

A. 6 B. 7 C. 9 D. 8 40. Solve the equation: −2+ 4 3𝑥 + 2 = 42

A. 3 B. −3 C. 4 D. 5


Part 3 – Learning Target 3: I can write and solve inequalities in the form of px+q >r or px+q < r. 41. Which symbol means less than ?

A. ≤ B. ≥ C. < D. > 42. Which symbol means greater than or equal ?

A. ≤ B. ≥ C. < D. > 43. 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 44. Which way would the arrow point when you graph the equation: −2𝑥 > −6

A. Up B. Down C. Right D. Left 45. Solve the inequality: −5𝑥 ≥ −25

A. 𝑥 ≤ 5 B. 𝑥 ≥ 5 C. 𝑥 < 5 D. 𝑥 > 5 46. 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 47. Solve the inequality: −5.4+ 𝑥 > −8.3

A. 𝑥 > 2.9 C. 𝑥 > −13.7 B. 𝑥 < −2.9 D. x > −2.9

48. Solve the inequality: !!!≥ 4

A. 𝑥 > 24 C. 𝑥 ≥ −24 B. 𝑥 ≤ 24 D. x ≤ −24 49. 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 50. This is the solution to which inequality?

A. 𝑥 < 10 C. −𝑥 − 2 > 8 B. 𝑥 − 6 > 16 D. 𝑥 + 4 ≥ 20 51. This is the solution to which inequality?

A. 𝑥 + 13 > 18 C. 3𝑥 + 10 ≥ 82 B. −3𝑥 + 1 > −71 D. 𝑥 − 15 ≤ −10 52. 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


53. Which graph is the correct one for: 𝑥 < −7 ? A. B. C. D. 54. Which graph is the correct one for: −18 < 𝑥 − 17 ? A. B. C. D. 55. Which graph is the correct one for: !

!!≥ 1 ?

A. B. C. D. 56. Which graph is the correct one for: 𝑥 − −2 > −1 ? A. B. C. D.

57. Which graph is the correct one for: −2𝑥 + 10 > 24 ? A. B. C. D. 58. Which graph is the correct one for: 9 > 2+ 2𝑥 − 5 ? A. B. C. D. 59. Which graph is the correct one for: −3 𝑥 + 2 < 12 ? A. B. C. D. 60. 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 4 – Learning Target 4: I can solve problems and explain formulas involving surface area of geometric solids.

61. The area of the triangle is ______. A. 22 ft² B. 33 ft² C. 44 ft² D. 66 ft² 62. 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 63. What are the perimeter and area of the square below? A. 10 cm & 20 cm² B. 15 cm & 20 cm² C. 20 cm & 25 cm² D. 20 cm & 40 cm² 64. The area of the trapezoid is ______. A. 100 mi² B. 200 mi² C. 150 mi² D. 120 mi² 65. The area of the parallelogram is ______. A. 35 ft² B. 50 ft² C. 70 ft² D. 350 ft²

66. Find the value of w in the rectangle below. The area of the rectangle is 28 cm². A. 4 cm B. 6 cm C. 7 cm D. 21 cm 67. 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 68. To find the area of a rectangle you should do which of the following: A. Add all the side lengths together. B. Multiply the length by the width. C. Multiply the base by the height and divide

by 2. D. Add the bases together, multiply by the

height and divide by 2. 69. To find the perimeter of a triangle you should do which of the following: A. Add all the side lengths together. B. Multiply the length by the width. C. Multiply the base by the height and divide

by 2. D. Add the bases together, multiply by the

height and divide by 2. 70. The degree measure in a whole circle is: A. 360° B. 720° C. 90° D. 180°

8 mi

10 mi

15 mi

9 mi

10 ft

5 ft 7 ft

11 ft

6 ft

h

10 cm

5 cm

5 cm

7 cm

w

7 cm

h

11 cm


71. To find the area of a trapezoid you need which measurements: A. Length, width & height. B. Perimeter, base & height. C. Length of base 1, length of base 2 &

height. D. Length of all the sides. 72. The circumference of a circle is: A. the distance from the center to the outside. B. the distance around the outside of a circle. C. the distance across a circle through the

center. D. 360 degrees. 73. If the diameter of a circle is 8 feet, then the radius of that circle is: A. 16 feet. B. 24 feet. C. 4 feet. D. 3.14 feet. For questions 74-76, refer to the diagram below:

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

A. 𝐸𝐵 & 𝐸𝐷 𝑜𝑛𝑙𝑦 C. 𝐴𝐹 & 𝐵𝐷 𝑜𝑛𝑙𝑦 B. 𝐴𝐹 𝑜𝑛𝑙𝑦 D. 𝐸𝐷, 𝐸𝐵 & 𝐸𝐶

75. Which of the following is a radius:

A. 𝐴𝐹 B. 𝐵𝐷 C. 𝐸𝐹 D. 𝐸𝐶 76. 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 77. Find the measure of the missing angle.

A. 83° B. 73° C. 93° D. 91° For questions 78-80, use 3.14 for π and the circumference formulas: C = πd or C = 2πr 78. R has a diameter that is 3 mm long. What is the circumference of the circle? A. 3.14 mm C. 9.42 mm B. 18.84 mm D. 78.5 mm 79. Find the circumference of this circle.

A. 3.14 cm B. 37.68 cm C. 6.28 cm D. 18.84 cm 80. 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

• E

D

C

B

A

F

x° 125°

87° 65°

6 cm

math 7 – first semester final practice...

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