NYSTCE NYSTCE Mathematics (004) 3

Question 1

A student graphs y = 2x + 1. What is the y-intercept of this line?

Accepted Answer

1

Answer

In the slope-intercept form y = mx + b, the y-intercept is b = 1.

Question 2

The ratio of boys to girls in a class is 3:5. If there are 24 students total, how many are girls?

Accepted Answer

15

Answer

Girls = 5/8 × 24 = 15.

Question 3

Which of the following is an example of an arithmetic sequence?

Accepted Answer

3, 7, 11, 15

Answer

In 3, 7, 11, 15 each term increases by a constant difference of 4, making it arithmetic.

Question 4

A cylinder has a radius of 3 cm and a height of 10 cm. What formula gives its volume?

Accepted Answer

V = πr²h

Answer

The volume of a cylinder is V = πr²h.

Question 5

If a data set has values 4, 8, 6, 10, and 2, what is the mean?

Accepted Answer

6

Answer

Mean = (4 + 8 + 6 + 10 + 2) / 5 = 30 / 5 = 6.

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