GED Math Test #6 3 — Questions and Answers
Question 1: Which of the following is equivalent to 2(x − 5) + 3x?
- 5x − 10 (Correct answer)
- 5x + 10
- 5x − 7
- 2x − 10
Correct answer: 5x − 10
Distribute: 2(x − 5) = 2x − 10. Then add 3x: 2x − 10 + 3x = 5x − 10. Always distribute before combining like terms.
Question 2: A bag contains 4 red, 6 blue, and 2 green marbles. What is the probability of randomly picking a blue marble?
- 1/2 (Correct answer)
- 1/3
- 1/4
- 3/5
Correct answer: 1/2
Total marbles = 4 + 6 + 2 = 12. P(blue) = 6/12 = 1/2. Simplify by dividing numerator and denominator by 6.
Question 3: The price of a jacket was reduced from $80 to $60. What was the percent decrease?
- 25% (Correct answer)
- 20%
- 33%
- 15%
Correct answer: 25%
Percent decrease = (change / original) × 100 = (20/80) × 100 = 25%. The decrease in price is $80 − $60 = $20.
Question 4: Solve the inequality: 2x − 3 > 7
- x > 5 (Correct answer)
- x > 2
- x < 5
- x > 10
Correct answer: x > 5
Add 3 to both sides: 2x > 10. Divide by 2: x > 5. When dividing by a positive number, the inequality direction stays the same.
Question 5: A data set has mean = 42 and median = 38. This indicates the distribution is:
- Skewed right (positively skewed) (Correct answer)
- Skewed left (negatively skewed)
- Symmetric
- Bimodal
Correct answer: Skewed right (positively skewed)
When the mean is greater than the median, the data is skewed right (positively skewed) because large outliers pull the mean upward.
Question 6: What is the slope of the line passing through (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 3
Correct answer: 2
Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2. The slope represents the rate of change between two points.
GED Math Test #6 3
Which of the following is equivalent to 2(x − 5) + 3x?