Question 1

Which of the following is an example of a direct variation?

Accepted Answer

y varies directly as x

Answer

y remains constant regardless of x

Answer

y varies inversely as x

Answer

y varies jointly as x and z

Question 2

If y varies inversely as x and y = 6 when x = 2, what is the value of y when x = 4?

Accepted Answer

3

Answer

12

Answer

1.5

Answer

8

Question 3

What is the formula for joint variation involving variables x, y, and z?

Accepted Answer

y = kxz

Answer

y = k/x + z

Answer

y = k - xz

Answer

y = k/xz

Question 4

In the equation of direct variation, if k = 5, what is the value of y when x = 3?

Accepted Answer

15

Answer

5

Answer

8

Answer

10

Question 5

If the equation of variation is given as y = 4x, which statement is true?

Accepted Answer

y varies directly with x

Answer

y is constant regardless of x

Answer

y varies inversely with x

Answer

y varies jointly with x and z

Question 6

If z varies jointly with x and y, and z = 24 when x = 2 and y = 3, what is the constant of variation k?

Accepted Answer

4

Answer

2

Answer

8

Answer

6

Question 7

If two quantities are said to have a direct variation, which of the following statements is correct?

Accepted Answer

As one quantity increases, the other quantity increases proportionally.

Answer

The two quantities remain constant regardless of each other.

Answer

As one quantity increases, the other quantity decreases inversely.

Answer

The relationship between the quantities cannot be expressed with an equation.

Question 8

If the equation y = 2/x represents a variation, what type of variation is it?

Accepted Answer

Inverse variation

Answer

Direct variation

Answer

Joint variation

Answer

Constant variation

Question 9

If m varies directly as n and m = 15 when n = 5, find the value of m when n = 10.

Accepted Answer

30

Answer

25

Answer

20

Answer

45

Question 10

If a and b are in inverse variation and a = 8 when b = 3, what is the value of a when b = 12?

Accepted Answer

2

Answer

4

Answer

6

Answer

16

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