HiSET Practice Test Math 2 — Questions and Answers
Question 1: Solve for x: 3x − 7 = 14
- x = 3
- x = 5
- x = 7 (Correct answer)
- x = 9
Correct answer: x = 7
Add 7 to both sides: 3x = 21. Divide both sides by 3: x = 7.
Question 2: A data set contains the values: 4, 7, 7, 9, 12, 15. What is the median?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
With 6 values, the median is the average of the 3rd and 4th values. Sorted: 4, 7, 7, 9, 12, 15. The 3rd and 4th values are 7 and 9. (7 + 9) ÷ 2 = 8.
Question 3: What is the slope of a line passing through the points (2, 5) and (6, 13)?
- 1
- 1.5
- 2 (Correct answer)
- 3
Correct answer: 2
Slope = (y₂ − y₁) / (x₂ − x₁) = (13 − 5) / (6 − 2) = 8 / 4 = 2.
Question 4: A circle has a radius of 6 cm. What is its area? (Use π ≈ 3.14)
- 18.84 cm²
- 37.68 cm²
- 113.04 cm² (Correct answer)
- 226.08 cm²
Correct answer: 113.04 cm²
Area = π × r² = 3.14 × 6² = 3.14 × 36 = 113.04 cm².
Question 5: Which of the following is equivalent to 2³ × 2⁴?
- 2⁷ (Correct answer)
- 2¹²
- 4⁷
- 8⁷
Correct answer: 2⁷
When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Question 6: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/5
- 3/10 (Correct answer)
- 1/3
- 2/5
Correct answer: 3/10
Probability = favorable outcomes / total outcomes = 3 / (5+3+2) = 3/10.
Solve for x: 3x − 7 = 14