Grade 8 Math SOL Practice Test — Set 3 of 5
Set 3 of 5 — 50 more free Grade 8 Math SOL practice questions from official VDOE released tests.
1. According to the order of operations, which operation should be performed first to evaluate the expression 2 + 3 − 20 + 8 ÷ 4 − 1
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Answer: D — 3 − 20
2. Apple juice concentrate is mixed with water to make apple juice. Which final mixture has the highest percentage of apple juice concentrate?
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Answer: G — 400 mL apple juice concentrate mixed with 400 mL water
3. What is 901,000 written in scientific notation?
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Answer: D — 9.01 × 10⁶
4. According to the order of operations, which operation should be performed first to simplify the following expression? 7 + 4² + 3 − 4 ÷ 2 − 1
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Answer: J — 4²
5. Which set of numbers contains √5?
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Answer: B — Irrational numbers
6. Which list is ordered from least to greatest?
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Answer: H — 30%, 2, 5
7. Which expression has a value of 27 when n equals 2?
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Answer: C — (n + 4) + 8
8. Which has a value between 2 and 3?
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Answer: G — √7
9. The area (A) of a trapezoid can be found using the formula A = ½h(b₁ + b₂). What is the area of a trapezoid if b₁ = 8 centimeters, b₂ = 12 centimeters, and h = 6 centimeters?
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Answer: D — 60 cm²
10. The Wren family monthly budget is shown below as percentages of total monthly income: House payment 30% Utilities 5% Car payment 15% Car insurance 5% Food 20% Entertainment 10% Savings 5% Miscellaneous 10% If the family’s monthly income is $3,286, what is the amount the Wren family budgets for entertainment each month?
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Answer: G — $328.60
11. Which number is a perfect square?
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Answer: C — 25
12. What is the value of the following expression when b = 2? 3b² + 4b − 3
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Answer: G — 27
13. A computer game was originally priced at $59.99. It was marked down 15%. Then it was moved to a clearance rack marked “Take an additional 50% off the lowest marked price.” What was the final price of the computer game?
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Answer: A — $25.50
14. A cylinder has a radius of 5 units and a height of 9 units. Which is closest to the volume of the cylinder?
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Answer: J — 251 cubic units
15. Angle ZWXY is formed by two intersecting lines. One angle measures 45°. What is the measure of ∠ZWXY, which is its vertical angle?
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Answer: C — 135°
16. A triangle has vertices labeled Z, L, and J. Segment LJ is one of the sides, and point Q is not on the triangle. Which names one of the legs of the triangle?
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Answer: J — OL
17. What is the surface area of a cube with edge lengths of 3 meters?
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Answer: B — 54 m²
18. Lines l and m intersect so that the measure of ∠1 is 50°. What is the measure of ∠2, which forms a linear pair with ∠1?
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Answer: B — 130°
19. A water slide forms the hypotenuse of a right triangle. One leg is 10 feet long and the other leg is 24 feet long. What is the length of the water slide?
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Answer: H — 26 ft
20. A triangle is shown on a coordinate plane. Each vertex is translated 3 units to the right and 1 unit down. Which description represents the new triangle?
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Answer: C — Translation (x + 3, y − 1)
21. A three-dimensional figure is shown. Its top view is a rectangle twice as long as it is wide. Which solid could produce this top view?
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Answer: G — Rectangular prism
22. Segment AX measures 9 inches. What is the measure of AX?
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Answer: B — 9 in.
23. Sandra has a bag of same-sized cookies. The pictures on the cookies are: 9 lion, 5 elephant, 3 tiger, 9 bear. Sandra will choose one cookie at random. What is the probability that the first cookie chosen will have a picture of a tiger?
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Answer: F — 3/26
24. The following matrix is shown: 1 2 3 4 5 6 7 8 9 10 11 12 How many rows does this matrix have?
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Answer: B — 4
25. A spinner consists of six equal regions numbered 1 through 6. If Harrold spins the spinner once, what is the probability that the arrow will land on a region numbered less than or equal to 2?
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Answer: G — 1/3
26. Manny recorded the height of water in a container over time. The line graph shows a steady decrease from 5.0 cm at 1:00 p.m. to 2.0 cm at 5:00 p.m. If the height continues to decrease at the same rate, which is closest to its height at 6:00 p.m.?
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Answer: C — 1.50 cm
27. The number of absences for several students is: 3, 4, 4, 3, 10, 13, 4, 3, 3, 4 What is the mode number of absences?
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Answer: J — 3
28. Suntan lotion sales by month are: May: 600 bottles June: 900 bottles July: 1,200 bottles August: 900 bottles September: 300 bottles What percent of the total bottles sold in June, July, and August was sold in July?
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Answer: C — 40%
29. A bag contains 12 marbles: 5 orange, 3 blue, and the rest red. What is the probability that a marble selected at random will be red or blue?
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Answer: J — 10/12
30. A towing company charges a flat fee of $50 plus $2 per mile. Which equation shows the relationship between y, the total cost, and x, the number of miles?
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Answer: A — y = 2x + 50
31. Which is one value of x that makes the following true? 7x + 3 > 17
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Answer: D — 4
32. Which ordered pair (x, y) is a solution to the equation y = 3x + 10?
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Answer: H — (−3, 1)
33. The actual distance between Memphis and Chicago is about 525 miles. On a map, the distance is about 10.5 inches. Which scale was most likely used?
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Answer: A — 1 inch represents 50 miles
34. A function is graphed showing points at x-values −7, −5, −2, 0, 3, 5, and 8. Which set best represents the domain of the function?
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Answer: F — −7, −5, −2, 0, 3, 5, 8
35. Which ordered pair makes the equation x = 5y − 1 false?
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Answer: C — (2, 3)
36. What value of n makes the equation true? 5n = 8 + 3n
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Answer: A — n = 4
37. In which table do all of the ordered pairs satisfy the equation y = 2x + 4?
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Answer: A — Table with pairs (0,4), (1,6), (2,8)
38. Mrs. Garcia used 5 cups of flour to make 3 loaves of bread. How many loaves can she make with 30 cups of flour?
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Answer: G — 18
39. Which ordered pair makes the equation true? 2x = 18 − y
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Answer: D — (9, 0)
40. Fran drove m miles in a rental car. The total cost R is given by the formula R = 0.50m + 35. What is the dependent variable?
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Answer: A — R
41. What is the value of (4(6+2))?
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Answer: C — 256
42. If (x = 2) and (t = 4), what is the value of (2(x-4)(t^2+8))?
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Answer: A — 12
43. A food company reduced the amount of salt in one of its food products from 700 milligrams to 630 milligrams. What is the percent decrease in the amount of salt in this food product?
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Answer: A — 10%
44. Which number is an irrational number?
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Answer: B — (sqrt17)
45. Dora bought a total of 48 cupcakes. Each cupcake cost $0.55, including tax. Of the cupcakes she bought, 12 were vanilla cupcakes. What was the total cost of only the vanilla cupcakes?
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Answer: C — $9.90
46. Which list of numbers is ordered from greatest to least?
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Answer: D — (3.1 * 10^-1), 0.45, 52%
47. Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balance in 6 equal monthly payments. What was Emil’s monthly payment?
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Answer: A — $42.71
48. Which pair of numbers are both between 6 and 7?
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Answer: D — (sqrt42) and (sqrt48)
49. Which number in this list is NOT an integer? 2, −42, (sqrt25), −4.8
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Answer: D — −4.8
50. Which statement best describes (sqrt50)?
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Answer: C — Between 7 and 8
Grade 8 Math SOL practice test — FAQ
Are these Grade 8 Math SOL practice questions free?
Yes — this Grade 8 Math SOL practice test is completely free with no signup. Answer each question to check it instantly, or open "Show answer" to review.
How many Grade 8 Math SOL practice questions are there?
Across all sets, there are 236 Grade 8 Math practice questions drawn from official Virginia Department of Education released SOL tests. This set has 50.
Are these real Virginia SOL questions?
The questions are adapted from official VDOE released SOL tests for Grade 8 Math. SOL Prep is an independent study aid and is not affiliated with or endorsed by the Virginia Department of Education.
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.