NCDAP Algebraic Concepts & Quantitative Reasoning 3

Question 1

Simplify: (x³ · x⁵) / x⁴

Accepted Answer

x⁴

Answer

x³ · x⁵ = x⁸, then x⁸ / x⁴ = x⁴.

Question 2

Two cars start at the same point. Car A travels north at 55 mph and Car B travels south at 65 mph. How far apart are they after 2 hours?

Accepted Answer

240 miles

Answer

They move in opposite directions: (55 + 65) × 2 = 240 miles.

Question 3

What is the value of |−8| + |3|?

Accepted Answer

11

Answer

Absolute value gives distance from zero: 8 + 3 = 11.

Question 4

Which of the following equations has a graph that is a horizontal line?

Accepted Answer

y = 5

Answer

y = 5 is a horizontal line where every point has y-coordinate 5.

Question 5

Factor completely: x² - 9

Accepted Answer

(x - 3)(x + 3)

Answer

x² - 9 is a difference of squares: (x - 3)(x + 3).

(NCDAP) North Carolina Diagnostic Placement Test Practice Test