NYSTCE NYSTCE Mathematics (004) 1 — Questions and Answers
Question 1: A student is asked to find the slope of the line passing through (2, 5) and (6, 13). What is the correct slope?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 2: Which property is demonstrated by the equation 3 × (4 + 5) = 3 × 4 + 3 × 5?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac.
Question 3: A rectangle has a length of 12 cm and a width of 7 cm. What is its area?
- 38 cm²
- 74 cm²
- 84 cm² (Correct answer)
- 96 cm²
Correct answer: 84 cm²
Area of a rectangle = length × width = 12 × 7 = 84 cm².
Question 4: Which of the following is an irrational number?
- √9
- √16
- √25
- √7 (Correct answer)
Correct answer: √7
√7 cannot be expressed as a simple fraction, making it irrational; the others simplify to whole numbers.
Question 5: If 4x − 3 = 17, what is the value of x?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
Adding 3 to both sides gives 4x = 20, then dividing by 4 gives x = 5.
Question 6: A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?
- 1/4
- 1/3
- 3/12 (Correct answer)
- 3/7
Correct answer: 3/12
Probability = 3 blue / 12 total = 3/12 = 1/4.
NYSTCE NYSTCE Mathematics (004) 1
A student is asked to find the slope of the line passing through (2, 5) and (6, 13).
What is the correct slope?