GED - General Educational Development Math Test #7 1

Question 1

Solve for x: 2x² + 5x − 3 = 0

Accepted Answer

x = 1/2 or x = −3

Answer

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)?

Accepted Answer

2

Answer

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)

Accepted Answer

78.5 cm²

Answer

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?

Accepted Answer

13

Answer

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?

Accepted Answer

79

Answer

Arrange in order: 68, 72, 79, 85, 91. The middle value (3rd of 5) is 79, which is the median.

GED Practice Test