GED - General Educational Development Math Test #7 1 — Questions and Answers
Question 1: Solve for x: 2x² + 5x − 3 = 0
- x = 1/2 or x = −3 (Correct answer)
- x = −1/2 or x = 3
- x = 3 or x = −3
- x = 1 or x = −5
Correct answer: x = 1/2 or x = −3
Factor as (2x − 1)(x + 3) = 0. Setting each factor to zero gives 2x − 1 = 0 → x = 1/2, and x + 3 = 0 → x = −3.
Question 2: What is the slope of the line passing through the points (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (y₂ − y₁) / (x₂ − x₁) = (13 − 5) / (6 − 2) = 8 / 4 = 2.
Question 3: A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)
- 78.5 cm² (Correct answer)
- 31.4 cm²
- 15.7 cm²
- 62.8 cm²
Correct answer: 78.5 cm²
Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 cm². The area formula uses the radius squared, not the diameter.
Question 4: If 3(x − 4) = 2x + 1, what is the value of x?
- 11
- 12
- 13 (Correct answer)
- 14
Correct answer: 13
Distribute: 3x − 12 = 2x + 1. Subtract 2x from both sides: x − 12 = 1. Add 12: x = 13.
Question 5: The scores of 5 students on a quiz are: 72, 85, 91, 68, 79. What is the median score?
- 72
- 79 (Correct answer)
- 81
- 85
Correct answer: 79
Arrange in order: 68, 72, 79, 85, 91. The middle value (3rd of 5) is 79, which is the median.
Question 6: A car travels 240 miles in 4 hours. At the same speed, how many miles will it travel in 7 hours?
- 360
- 400
- 420 (Correct answer)
- 480
Correct answer: 420
Speed = 240 ÷ 4 = 60 mph. Distance in 7 hours = 60 × 7 = 420 miles.
GED - General Educational Development Math Test #7 1
Solve for x: 2x² + 5x − 3 = 0