Register
Question 1
What are the domain and range of f(x) = sqrt(x - 2)?
Correct Answer:
Domain x > 2; Range y > 0.
Explanation:
The main idea is that a square root requires the inside quantity to be nonnegative, and the result is always nonnegative as well. For f(x) = sqrt(x - 2), the inside is x - 2, so we need x - 2 ≥ 0, which means x ≥ 2. When x = 2, f(x) = sqrt(0) = 0, so 0 is included in the range. As x grows, x - 2 grows and the square root grows as well, giving all nonnegative values. So the domain is all x with x ≥ 2, and the range is all y with y ≥ 0. The choice that would exclude x = 2 or require the output to be negative isn’t correct, and the one that starts above 0 would miss the value at x = 2.
Question 2
One pint equals how many cups?
Correct Answer:
2 cups
Explanation:
In U.S. customary measurements, a pint is twice as big as a cup. A cup holds 8 fluid ounces and a pint holds 16, and 16 ÷ 8 = 2, so one pint equals two cups. If you have three cups, that’s 1.5 pints; four cups is 2 pints; one cup is half a pint. The only amount that matches a pint is two cups.
Question 3
Cosine function touches the x-axis at which x-values?
Correct Answer:
pi/2 and 3pi/2
Explanation:
The value where the cosine function crosses the x-axis is where cos x = 0. In one full cycle from 0 to 2π, those x-values are π/2 and 3π/2. At these angles the point on the unit circle lies on the y-axis, so the x-coordinate (which is cos x) is zero. The other numbers don’t give zero because cos 0 = 1, cos π = −1, and cos 2π = 1. Since cosine repeats every 2π, the zeros occur again at π/2 + kπ for any integer k.
Question 4
What is the probability of rolling a sum of 7 with two fair six-sided dice?
Correct Answer:
1/6
Explanation:
Count the outcomes and use probability as favorable outcomes divided by total outcomes. When rolling two fair six-sided dice, there are 6 × 6 = 36 equally likely ordered outcomes. The combinations that sum to 7 are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1) — six favorable cases. So the probability is 6 out of 36, which simplifies to 1/6. This matches the intuitive idea that there are six ways to reach 7, out of 36 equally likely possibilities. The other fractions would require a different number of favorable outcomes (for example, four or three), which doesn’t align with the actual six ways to make 7.
Question 5
A trapezoid is which of the following?
Correct Answer:
A quadrilateral
Explanation:
A trapezoid is a four‑sided polygon, which means it is a quadrilateral. That makes it fit the definition of a quadrilateral, since it has exactly four sides. The other options describe shapes with a different number of sides: three for a triangle, five for a pentagon, and a circle has no sides at all. So the best description is that a trapezoid is a quadrilateral. If you’ve learned that a trapezoid typically has a pair of parallel sides, that property sits inside the broader idea that it’s a four‑sided figure.
Question 1
Exam overview

About this Exam

Prepare with the NBCT Mathematics Adolescence and Young Adulthood (AYA) Component 1 Practice Test practice quiz. This question bank includes 10 questions covering function, domain, range, nbct, and mathematics. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

More details

Additional Information

NBCT Mathematics Adolescence and Young Adulthood (AYA) Component 1 Practice Test

This practice set contains 10 questions from the matching question bank and focuses on function, domain, range, nbct, and mathematics. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

Quiz information

Frequently Asked Questions

The complete question count is available after full access is unlocked.
No fixed duration is currently configured for this quiz.
Question explanations are included where they are available in the quiz content, helping you review the reasoning after answering.
Yes. You can retake the practice test again as you continue studying during your available access period.
After your access is confirmed, you can continue into the complete practice exam from this quiz flow.
Unless explicitly stated otherwise, this page provides independent practice material for study and exam preparation and is not the official examination itself.
Keep studying

Related Questions

Certify Teacher EC-6 (391) Mathematics (902) Practice Test

0 min

Avaya Aura Core Components Integration (71200X) Practice Exam

0 min

BMS Mathematics Academic Team Practice Test

0 min

BTEC Enterprise Component 1 Practice Test

0 min

Comprehensive Boiler System Components and Controls Practice Test

0 min

CXC CSEC Mathematics Maths Practice Test

0 min