Ged Advanced Mathematics Comprehensive Practice Questions And Answers

GED ADVANCED MATHEMATICS
COMPREHENSIVE PRACTICE QUESTIONS
AND ANSWERS


1. A line passes through the points (2, -3) and (-4, 9). What is the equation of the line in slope-

intercept form?

A. y = -2x + 1


B. y = 2x - 7


C. y = -0.5x - 2


D. y = -2x - 1


Answer: A


Conceptual Explanation: The slope m = (9 - (-3)) / (-4 - 2) = 12 / -6 = -2. Using y = mx + b

with (2, -3): -3 = -2(2) + b, so -3 = -4 + b, which means b = 1. The equation is y = -2x + 1.


2. Solve for x: 3(2x - 5) = 4x + 7

A. x = 1


B. x = 6


C. x = 11


D. x = 22

,Answer: C


Conceptual Explanation: Distribute: 6x - 15 = 4x + 7. Subtract 4x from both sides: 2x - 15

= 7. Add 15 to both sides: 2x = 22. Divide by 2: x = 11.


3. A cylinder has a radius of 4 inches and a height of 10 inches. What is the approximate

surface area? (Use 3.14 for pi)

A. 251.2 sq in


B. 502.4 sq in


C. 125.6 sq in


D. 351.68 sq in


Answer: D


Conceptual Explanation: Surface Area = 2pir^2 + 2pirh. SA = 23.1416 + 23.14410 =

100.48 + 251.2 = 351.68.


4. Which value of x satisfies the inequality: -2x + 8 < 2?

A. x < 3


B. x < -3


C. x > 3


D. x > 5


Answer: C

, Conceptual Explanation: Subtract 8: -2x < -6. Divide by -2 and flip the sign: x > 3.


5. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are

drawn without replacement, what is the probability that both are red?

A. 1/4


B. 5/18


C. 1/2


D. 2/9


Answer: D


Conceptual Explanation: First draw: 5/10. Second draw: 4/9. Probability = (5/10) * (4/9)

= 20/90 = 2/9.


6. Find the value of f(-2) for the function f(x) = 2x^2 - 3x + 5.

A. 7


B. 3


C. 19


D. 1


Answer: C


Conceptual Explanation: f(-2) = 2(-2)^2 - 3(-2) + 5 = 2(4) + 6 + 5 = 8 + 6 + 5 = 19.