NCDAP Elementary Algebra 3

Question 1

What is the solution to the inequality 2x + 5 > 11?

Accepted Answer

x > 3

Answer

Subtracting 5 gives 2x > 6, then dividing by 2 gives x > 3.

Question 2

Factor the expression: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

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

Question 3

If 5 - 2x = -3, what is x?

Accepted Answer

4

Answer

Subtracting 5 gives -2x = -8, then dividing by -2 gives x = 4.

Question 4

A train travels at 60 mph. Which equation shows the distance d after t hours?

Accepted Answer

d = 60t

Answer

Distance = rate × time, so d = 60t.

Question 5

Which pair of values (x, y) satisfies both x + y = 7 and x - y = 3?

Accepted Answer

(5, 2)

Answer

Adding the equations gives 2x = 10, so x = 5; then y = 7 - 5 = 2.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test