GED - General Educational Development Math Test #7 1 β Questions and Answers
Question 1: Solve for x: 2xΒ² + 5x β 3 = 0
- x = 1/2 or x = β3 (Correct answer)
- x = β1/2 or x = 3
- x = 3 or x = β3
- x = 1 or x = β5
Correct answer: x = 1/2 or x = β3
Factor as (2x β 1)(x + 3) = 0. Setting each factor to zero gives 2x β 1 = 0 β x = 1/2, and x + 3 = 0 β x = β3.
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 = (yβ β yβ) / (xβ β xβ) = (13 β 5) / (6 β 2) = 8 / 4 = 2.
Question 3: A circle has a radius of 5 cm. What is its area? (Use Ο β 3.14)
- 78.5 cmΒ² (Correct answer)
- 31.4 cmΒ²
- 15.7 cmΒ²
- 62.8 cmΒ²
Correct answer: 78.5 cmΒ²
Area = Ο Γ rΒ² = 3.14 Γ 5Β² = 3.14 Γ 25 = 78.5 cmΒ². The area formula uses the radius squared, not the diameter.
Question 4: If 3(x β 4) = 2x + 1, what is the value of x?
- 11
- 12
- 13 (Correct answer)
- 14
Correct answer: 13
Distribute: 3x β 12 = 2x + 1. Subtract 2x from both sides: x β 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 Γ· 4 = 60 mph. Distance in 7 hours = 60 Γ 7 = 420 miles.
GED - General Educational Development Math Test #7 1
Solve for x: 2xΒ² + 5x β 3 = 0