GED Math Test #6 3

Question 1

Which of the following is equivalent to 2(x − 5) + 3x?

Accepted Answer

5x − 10

Answer

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?

Accepted Answer

1/2

Answer

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?

Accepted Answer

25%

Answer

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

Accepted Answer

x > 5

Answer

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:

Accepted Answer

Skewed right (positively skewed)

Answer

When the mean is greater than the median, the data is skewed right (positively skewed) because large outliers pull the mean upward.

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