NYSTCE NYSTCE Mathematics (004)

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?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 2

Which property is demonstrated by the equation 3 × (4 + 5) = 3 × 4 + 3 × 5?

Accepted Answer

Distributive property

Answer

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?

Accepted Answer

84 cm²

Answer

Area of a rectangle = length × width = 12 × 7 = 84 cm².

Question 4

Which of the following is an irrational number?

Accepted Answer

√7

Answer

√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?

Accepted Answer

5

Answer

Adding 3 to both sides gives 4x = 20, then dividing by 4 gives x = 5.

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