DSST Mathematics 5

Question 1

What is the slope of a line perpendicular to y = (3/4)x - 2?

Accepted Answer

-4/3

Answer

Perpendicular slopes are negative reciprocals; the reciprocal of 3/4 negated is -4/3.

Question 2

Which expression is equal to (2³)⁴?

Accepted Answer

2¹²

Answer

Using the power-of-a-power rule: (2³)⁴ = 2^(3×4) = 2¹².

Question 3

What is the median of the data set {4, 8, 15, 16, 23, 42}?

Accepted Answer

15.5

Answer

With six values, the median is the average of the 3rd and 4th: (15 + 16)/2 = 15.5.

Question 4

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3×4 = 12) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴.

Question 5

A poll of 200 people shows 60% prefer option A. What is the 95% confidence interval half-width if the margin of error is ±7%?

Accepted Answer

53% to 67%

Answer

With a margin of error of ±7%, the interval extends from 60% - 7% = 53% to 60% + 7% = 67%.

DSST - DANTES Subject Standardized Tests Practice Test