NCDAP Algebraic Concepts & Quantitative Reasoning 5

Question 1

A train travels 360 miles in 4.5 hours. What is its average speed in miles per hour?

Accepted Answer

80 mph

Answer

Speed = distance/time = 360/4.5 = 80 mph.

Question 2

What is the solution set of |2x - 6| = 10?

Accepted Answer

x = 8 or x = -2

Answer

2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.

Question 3

If y varies directly with x and y = 15 when x = 3, what is y when x = 7?

Accepted Answer

35

Answer

k = y/x = 15/3 = 5, so y = 5 × 7 = 35.

Question 4

Which graph best represents the inequality y > 2x - 1?

Accepted Answer

Dashed line with shading above

Answer

Strict inequality (>) uses a dashed boundary line, and 'greater than' shades above the line.

Question 5

Evaluate: 2⁰ + 3⁻¹ + 4¹

Accepted Answer

5 1/3

Answer

2⁰ = 1, 3⁻¹ = 1/3, 4¹ = 4; total = 1 + 1/3 + 4 = 5 1/3.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test