NBT Mathematics Proficiency 3

Question 1

What is the slope of the line passing through (1, 2) and (4, 11)?

Accepted Answer

3

Answer

Slope = (11 − 2) ÷ (4 − 1) = 9 ÷ 3 = 3.

Question 2

The function f(x) = x² − 4x + 4 has its vertex at:

Accepted Answer

(2, 0)

Answer

f(x) = (x−2)² so the vertex is at (2, 0).

Question 3

Which of the following represents an arithmetic sequence?

Accepted Answer

3, 7, 11, 15, …

Answer

Each term increases by a constant difference of 4, making it arithmetic.

Question 4

For which value of x is the function g(x) = 1/(x − 5) undefined?

Accepted Answer

5

Answer

The function is undefined when the denominator equals zero, i.e., x − 5 = 0, so x = 5.

Question 5

If f(x) = 2x + 1, what is f(f(3))?

Accepted Answer

15

Answer

f(3) = 7, then f(7) = 2(7) + 1 = 15.

(NBT) National Benchmark Test Practice Test