Ged Comprehensive Exam Practice (Math, Science, Rla, Social Studies) Questions And Answers

GED COMPREHENSIVE EXAM
PRACTICE (MATH, SCIENCE, RLA,
SOCIAL STUDIES) QUESTIONS AND
ANSWERS



1. Solve for x in the quadratic equation 2x^2 - 8x + 6 = 0.

A. x = 0, x = 6


B. x = -1, x = -3


C. x = 2, x = 4


D. x = 1, x = 3


Answer: D


Conceptual Explanation: Divide the equation by 2 to get x^2 - 4x + 3 = 0. Factoring gives

(x-3)(x-1)=0, so x=3 and x=1.


2. What is the slope of the line passing through the points (2, 5) and (4, 11)?

A. 2


B. 6


C. 4


D. 3

,Answer: D


Conceptual Explanation: Slope m = (y2 - y1) / (x2 - x1) = (11 - 5) / (4 - 2) = = 3.


3. A cylinder has a radius of 3 cm and a height of 10 cm. Using 3.14 for pi, what is its volume?

A. 94.2 cubic cm


B. 282.6 cubic cm


C. 188.4 cubic cm


D. 314.0 cubic cm


Answer: B


Conceptual Explanation: Volume = pi * r^2 * h = 3.14 * 3^2 * 10 = 3.14 * 9 * 10 = 282.6

cubic cm.


4. If a sample space contains 20 items and 4 are defective, what is the probability of picking a

non-defective item?

A. 0.2


B. 0.4


C. 0.8


D. 0.5


Answer: C

, Conceptual Explanation: There are 16 non-defective items. Probability = 16/20 = 4/5 =

0.8.


5. Simplify the expression: 3(x + 4) - 2(2x - 1).

A. -x + 14


B. x + 10


C. -x + 11


D. 5x + 13


Answer: A


Conceptual Explanation: Distribute: 3x + 12 - 4x + 2. Combine like terms: -x + 14.


6. What is the value of 5! (five factorial)?

A. 25


B. 60


C. 100


D. 120


Answer: D


Conceptual Explanation: 5! = 5 * 4 * 3 * 2 * 1 = 120.


7. In a right triangle, if the legs are 6 and 8, what is the length of the hypotenuse?

A. 10