Mathematics Proficiency Flashcards
7 cards from real NBT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematics Proficiency flashcards as text
What is the slope of the line passing through (1, 2) and (4, 11)?
Answer: 3
Slope = (11 − 2) ÷ (4 − 1) = 9 ÷ 3 = 3.
The function f(x) = x² − 4x + 4 has its vertex at:
Answer: (2, 0)
f(x) = (x−2)² so the vertex is at (2, 0).
Which of the following represents an arithmetic sequence?
Answer: 3, 7, 11, 15, …
Each term increases by a constant difference of 4, making it arithmetic.
For which value of x is the function g(x) = 1/(x − 5) undefined?
Answer: 5
The function is undefined when the denominator equals zero, i.e., x − 5 = 0, so x = 5.
If f(x) = 2x + 1, what is f(f(3))?
Answer: 15
f(3) = 7, then f(7) = 2(7) + 1 = 15.
The line y = −2x + 6 has a y-intercept of:
Answer: 6
In the form y = mx + c, the y-intercept c = 6.
Which graph represents a function with a negative leading coefficient and two real roots?
Answer: A downward-opening parabola that crosses the x-axis twice
A negative leading coefficient means the parabola opens downward; two real roots means it crosses the x-axis twice.