Rise Placement Test Quantitative Reasoning 4

Question 1

A line passes through the points (2, 5) and (6, 13). What is the slope of the line?

Accepted Answer

2

Answer

Slope = (13 − 5) / (6 − 2) = 8/4 = 2.

Question 2

If the sales tax rate is 7.5%, what is the total cost of a $240 item after tax?

Accepted Answer

$258.00

Answer

Tax = 240 × 0.075 = $18; total = 240 + 18 = $258.

Question 3

Which of the following is an example of a rational number that is NOT an integer?

Accepted Answer

3/4

Answer

3/4 is a ratio of two integers and cannot be expressed as a whole number, making it a non-integer rational.

Question 4

A box plot shows a data set with Q1 = 20, median = 30, Q3 = 45. What is the interquartile range (IQR)?

Accepted Answer

25

Answer

IQR = Q3 − Q1 = 45 − 20 = 25.

Question 5

Simplify: (x² · x⁵) / x³

Accepted Answer

x⁴

Answer

x² · x⁵ = x⁷; x⁷ / x³ = x⁴.

Rise Placement Test Practice Test