NCDAP Algebraic Concepts & Quantitative Reasoning 2

Question 1

Which of the following is equivalent to 3(2x - 4) + 5x?

Accepted Answer

11x - 12

Answer

Distribute: 6x - 12 + 5x = 11x - 12.

Question 2

A store sells notebooks for $2.50 each. If a student buys n notebooks and pays with $20, which expression represents the change received?

Accepted Answer

20 - 2.50n

Answer

Change = amount paid minus total cost = 20 - 2.50n.

Question 3

What is the slope of the line passing through (1, 3) and (4, 9)?

Accepted Answer

2

Answer

Slope = (9 - 3)/(4 - 1) = 6/3 = 2.

Question 4

Solve for x: 4x + 7 = 2x - 3

Accepted Answer

x = -5

Answer

4x - 2x = -3 - 7 → 2x = -10 → x = -5.

Question 5

If f(x) = x² - 3x + 2, what is f(4)?

Accepted Answer

6

Answer

f(4) = 16 - 12 + 2 = 6.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test