Grade 7 Math SOL Practice Test — Set 3 of 3

Set 3 of 3 — 40 more free Grade 7 Math SOL practice questions from official VDOE released tests.

1. 1. Which statement is true about the pattern 5, 20, 80, 320, …?

   AThe common ratio is 4.BThe common ratio is 15.CThe common difference is 4.DThe common difference is 15.
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   Answer: A — The common ratio is 4.

2. 2. Kelly received a 25% discount on a $240 bicycle. What was the amount of the discount?

   A$25B$60C$180D$215
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   Answer: B — $60

3. 3. Which number sentence is represented by a number line showing movement from 0 to –28 by making 7 jumps of –4?

   A(-4 - 7 = 28)B(-4 * 7 = -28)C(4 - (-7) = 28)D(4 + (-7) = -28)
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   Answer: B — (-4 * 7 = -28)

4. 4. What is ((12)/(16)) written in simplest form?

   A((12)/(16))B((3)/(4))C((2)/(3))D((4)/(3))
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   Answer: B — ((3)/(4))

5. 5. Rectangular Prism A has a length of 6 inches. All dimensions are multiplied by a scale factor of 2 to create Rectangular Prism B. Compared to Prism A, the volume of Prism B is —

   A2 times as greatB3 times as greatC4 times as greatD8 times as great
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   Answer: D — 8 times as great

6. 6. Quadrilateral KLVN is rotated 180° clockwise about the origin. If point K is originally at (–4, –2), which coordinates represent the image of point K?

   A(6, 8)B(–4, 2)C(8, –6)D(4, 2)
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   Answer: C — (8, –6)

7. 7. A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height is changed to 6 inches while the other dimensions stay the same. What is the new volume?

   A30 cubic inchesB54 cubic inchesC81 cubic inchesD162 cubic inches
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   Answer: B — 54 cubic inches

8. 8. Every rhombus is also a —

   AparallelogramBtrapezoidCrectangleDsquare
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   Answer: A — parallelogram

9. 9. Quadrilateral POMN is similar to quadrilateral WXYZ. If angle P corresponds to angle W and measures 65°, angle O corresponds to angle X and measures 80°, and angle M corresponds to angle Y and measures 115°, what is the measure of angle Z?

   A65°B80°C100°D115°
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   Answer: C — 100°

10. 10. A cylindrical container has a diameter of 16 inches and a height of 7 inches. Which expression represents the volume of the container in cubic inches?

    A(7 (8)^2)B( (16)^2(7))C(2 (8)^2 + 7)D(2 (16)^2 + 7)
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    Answer: A — (7 (8)^2)

11. 11. Shane recorded the number of 8-ounce glasses of water he drank each day for 12 days. The frequencies were: • 1–2 glasses: 2 days • 3–4 glasses: 3 days • 5–6 glasses: 4 days • 7–8 glasses: 3 days Which statement must be true?

    AExactly 2 days were 1–2 glasses.BExactly 3 days were 7–8 glasses.CExactly 25% of the days were 3–4 glasses.DExactly 60% of the days were 5–6 glasses.
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    Answer: C — Exactly 25% of the days were 3–4 glasses.

12. 12. The digits 1, 2, 3, and 4 are used to make a 3-digit number. Digits may repeat. How many different 3-digit numbers can be made?

    A12B27C64D81
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    Answer: C — 64

13. 13. If (k = 2), what is the value of (k^2 - (k - 10) + 4k)?

    A20B22C24D26
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    Answer: D — 26

14. 14. A spinner has 5 equal sections labeled P, Q, R, S, and T. It is spun 15 times and lands on Q 4 times. Which statement best describes the experimental and theoretical probabilities of landing on Q?

    AExperimental (=(4)/(15)), theoretical (=(1)/(5))BExperimental (=(1)/(5)), theoretical (=(4)/(15))CExperimental (=(4)/(15)), theoretical (=(1)/(15))DExperimental (=(1)/(15)), theoretical (=(1)/(5))
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    Answer: A — Experimental (=(4)/(15)), theoretical (=(1)/(5))

15. 15. Ethan earns $12 per hour to walk dogs plus $7 per day for brushing them. Let (x) be the number of hours worked and (y) the total earned. Which equation represents this situation?

    A(12x + 2 + 7 = y)B(12x - 2 + 7 = y)C(12x + 7 = y)D(12x - 7 = y)
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    Answer: C — (12x + 7 = y)

16. 16. Aidan’s age is 6 years less than half of Maggie’s age. Aidan is 4 years old. How old is Maggie?

    A2 yearsB5 yearsC10 yearsD20 years
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    Answer: D — 20 years

17. 17. What is the solution to (-12x < -72)?

    A(x > 6)B(x < 6)C(x > -6)D(x < -6)
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    Answer: A — (x > 6)

18. 18. Which property is illustrated by ((-1 - 7) + 3 = 3 + (-1 - 7))?

    ACommutative Property of AdditionBAssociative Property of AdditionCDistributive PropertyDIdentity Property
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    Answer: A — Commutative Property of Addition

19. 19. Marjorie bought 24 bottles of juice and drinks 2 bottles per day. Which expression represents the number of unopened bottles after (d) days?

    A(2d - 24)B(24d - 2)C(24 + 2d)D(24 - 2d)
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    Answer: D — (24 - 2d)

20. 20. What is the solution to (3x = 120)?

    A–40B–6C6D40
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    Answer: D — 40

21. 21. Which expression represents: “13 more than the product of 4 and a number”?

    A(24 + 13)B(4n + 13)C(4(n + 13))D(13(n + 4))
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    Answer: B — (4n + 13)

22. 22. A spinner has 4 sections labeled W, X, Y, and Z. A number cube has faces 1 through 6. What is the total number of possible outcomes of one spin and one roll?

    A6B10C24D48
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    Answer: C — 24

23. 23. Which value of (k) makes (-5 > k + 11) true?

    A8B–4C–16D–22
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    Answer: D — –22

24. 24. What value of (n) makes (n + (-7) = -77) true?

    A–84B–70C84D70
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    Answer: B — –70

25. 25. What is the solution to (c - 14 < 16)?

    A(c > 2)B(c < 2)C(c < 30)D(c > 30)
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    Answer: C — (c < 30)

26. 26. Samantha stated that 324 is a perfect square. Which factors could Samantha have used to justify her statement?

    A17 and 17B18 and 18C81 and 81D162 and 162
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    Answer: B — 18 and 18

27. 27. Which operation should be performed last when using the order of operations to simplify the expression shown below? The expression is: 20 − 6 · 7² + 160 ÷ 2 − 0 · 36 ÷ 60² + 1

    AExponentsBMultiplicationCDivisionDAddition
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    Answer: A — Exponents

28. 28. Adam had 820 baseball cards. He gave 25% of the cards to his brother. How many cards did Adam give to his brother?

    A795B615C205D164
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    Answer: C — 205

29. 29. The table below describes the number of roses sold at a flower shop. A key indicates that each symbol in the original pictograph represented 20 roses. Yellow roses: 2 symbols (40 roses) Red roses: 3 symbols (60 roses) Pink roses: 2 symbols (40 roses) Orange roses: 1 symbol (20 roses) The shop owner will create a circle graph to represent the data. What percent of the circle should be used to represent the number of pink roses sold?

    F15%G20%H25%J30%
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    Answer: H — 25%

30. 30. A cylinder has a radius of 7 inches and a height of 20 inches. Which is closest to the surface area of this cylinder?

    A517 square inchesB769 square inchesC1,187 square inchesD3,077 square inches
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    Answer: C — 1,187 square inches

31. 31. The distance, d, a spring stretches is directly proportional to the force, F, on the spring. The constant of proportionality is 0.25. Which equation represents this relationship?

    Fd = F ÷ 0.25Gd = 0.25FHF = 0.25dJF = d + 0.25
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    Answer: G — d = 0.25F

32. 32. One brand of dog food is sold in 4-pound bags, 12-pound bags, and 24-pound bags. A 4-pound bag costs $6.00. A 12-pound bag costs $18.00. A 24-pound bag costs $36.00. All costs include tax. What is the slope of the linear equation that models the relationship between the number of pounds of dog food, x, and the cost in dollars, y?

    A1/3B2C3D6
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    Answer: C — 3

33. 33. A school club is selling T-shirts to raise money for a field trip. The club members purchase packs of 24 T-shirts for $348 and sell each T-shirt for $19.00. Which equation best represents the total sales in dollars, y, of x T-shirts?

    Ay = 19xBy = 348xCy = 24xDy = 19 + x
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    Answer: A — y = 19x

34. 34. The club members decide to increase the price of the T-shirts. They will charge 5% more than the original amount of $19.00. Which dollar value represents 5% of the original price?

    A$0.05B$0.95C$3.80D$5.00
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    Answer: B — $0.95

35. 35. If n = 3, what is the value of (3n + 4)³ + 3?

    F5G16H28J30
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    Answer: G — 16

36. 36. What is the solution to the equation? (d − 3.4) ÷ 7 = 2.8

    Ad = 3.0Bd = 3.8Cd = 16.2Dd = 23.0
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    Answer: C — d = 16.2

37. 37. Beatrice has 18 pencils. Beatrice has 2 more than 4 times the number of pencils Rick has. Exactly how many pencils does Rick have?

    F11 pencilsG7 pencilsH5 pencilsJ4 pencils
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    Answer: H — 5 pencils

38. 38. Which set of values contains only solutions to −3x < 15?

    A−5, −4, −3B−8, −7, −6C−4, 3, 2D−7, −6, −5
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    Answer: D — −7, −6, −5

39. 39. A spinner has 8 equal-sized sections: 2 red 1 yellow 3 blue 2 green A class spun the arrow on the spinner 20 times. The arrow landed on green 3 times. The class will spin the arrow on the spinner a total of 500 times. As the number of spins increases, the experimental probability of the arrow landing on green will most likely approach —

    F0.15G0.25H0.30J0.375
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    Answer: G — 0.25

40. 40. Jason represented the values of his 35 baseball cards in a histogram and in a stem-and-leaf plot. Which statement best describes the graph Jason could use to find the median value of his 35 baseball cards?

    FA histogram because it lists each value in a set of dataGA histogram because it shows the frequency of data using intervalsHA stem-and-leaf plot because it lists each value in a set of dataJA stem-and-leaf plot because it shows the frequency of data using intervals
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    Answer: H — A stem-and-leaf plot because it lists each value in a set of data

Practice items adapted from Virginia Department of Education released SOL tests. Practice items are provided for study purposes and are not affiliated with or endorsed by the Virginia Department of Education.