Question 1

What is the general formula of inverse variation?

Accepted Answer

y = k/x

Answer

y = kx

Answer

y = x + k

Answer

y = k - x

Question 2

What happens when x increases in an inverse variation relationship?

Accepted Answer

y decreases

Answer

y doubles

Answer

y stays the same

Answer

y increases

Question 3

Which of the following is an example of inverse variation?

Accepted Answer

Speed vs. time taken for a fixed distance

Answer

Money saved vs. money spent

Answer

The cost of apples vs. the number of kilos

Answer

Distance traveled vs. time when speed is constant

Question 4

What is the graph of inverse variation?

Accepted Answer

A hyperbola

Answer

A straight line through the origin

Answer

A circle

Answer

A parabola

Question 5

Why is x = 0 not possible in inverse variation?

Accepted Answer

Division by zero is undefined

Answer

It makes y = 0

Answer

It makes k = 0

Answer

Because y will be negative

Question 6

Inverse variation can also be written as which of the following?

Accepted Answer

xy = k

Answer

x + y = k

Answer

x - y = k

Answer

x^2 + y^2 = k

Question 7

In an inverse variation relationship, the product of x and y is always:

Accepted Answer

Constant

Answer

Zero

Answer

Decreasing

Answer

Increasing

Question 8

Which formula best represents the concept of inverse variation between x and y?

Accepted Answer

y = k/x

Answer

y = k - x

Answer

y = kx

Answer

y = x + k

Question 9

What is the relationship between x and y in an inverse variation when x decreases?

Accepted Answer

y increases

Answer

y becomes negative

Answer

y decreases

Answer

y stays the same

Question 10

If the constant k in an inverse variation is 12, what is the value of y when x is 3?

Accepted Answer

4

Answer

36

Answer

9

Answer

12

Question 11

If y varies inverse as x&#58; y = 12 when  x = 3&#44; what is  k?

Accepted Answer

36

Answer

15

Answer

9

Answer

4

Question 12

If y varies inverse as x&#58;If y varies inverse as x&#58;  y = -2 when  x = 5&#44; what is  k?

Accepted Answer

-10

Answer

-2.5

Answer

7

Answer

10

Question 13

If y varies inverse as x&#58;If y varies inverse as x&#58; x = 8 and  y = 4&#44; what is  k?

Accepted Answer

32

Answer

4

Answer

2

Answer

12

Question 14

If  y = 5 when  x = 7&#44; what is  k? (inverse variation problem)

Accepted Answer

35

Answer

2

Answer

20

Answer

12

Question 15

If  k = 24&#44; what is  y when  x = 6? (inverse variation problem)

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 16

If  k = -15 and  x = 3&#44; what is  y? (inverse variation problem)

Accepted Answer

-5

Answer

5

Answer

15

Answer

-12

Question 17

If  y = 10 when  x = 2&#44; what is  k? (inverse variation problem)

Accepted Answer

20

Answer

5

Answer

8

Answer

15

Question 18

If  y = 6 when  x = 4&#44; what is  k? (inverse variation problem)

Accepted Answer

24

Answer

18

Answer

12

Answer

10

Question 19

If  k = 42 and  x = 7&#44; what is  y? (inverse variation problem)

Accepted Answer

6

Answer

8

Answer

5

Answer

7

Question 20

If  y = -3 when  x = 9&#44; what is  k? (inverse variation problem)

Accepted Answer

-27

Answer

-18

Answer

-15

Answer

-12

Question 21

Inverse Variation Problem: If

y = -3

when

x = 4

, what is

y

when

x = 12

?

Accepted Answer

-1

Answer

-12

Answer

-4

Answer

-9

Question 22

Inverse Variation Problem:Inverse Variation Problem: If

y = -3

when

x = 4

, find

y

when

x = 12

.

Accepted Answer

3

Answer

6

Answer

27

Answer

18

Question 23

Inverse Variation Problem:Inverse Variation Problem: If

y = -3

when

x = 4

, find

y

when

x = 12

.

Accepted Answer

4

Answer

5

Answer

1

Answer

2

Question 24

Inverse Variation Problem:Inverse Variation Problem: If

y = -3

when

x = 4

, find

y

when

x = 12

.

Accepted Answer

5

Answer

10

Answer

20

Answer

2

Question 25

Inverse Variation Problem:Inverse Variation Problem: If

y = -3

when

x = 4

, find

y

when

x = 12

.

Accepted Answer

15

Answer

10

Answer

20

Answer

25

Question 26

A job takes 10 workers 8 days. How many days for 20 workers?

Accepted Answer

4

Answer

6

Answer

8

Answer

2

Question 27

If light intensity varies inversely with the square of distance, and

y = -3

at

x = 4

, what is

y

at

x = 12

?

Accepted Answer

16

Answer

25

Answer

20

Answer

40

Question 28

If 3 pipes fill a tank in 12 hours, how long will it take with 6 pipes?

Accepted Answer

6

Answer

24 h

Answer

12 h

Answer

4 h

Question 29

A recipe takes 6 hours with 2 ovens. How long will it take with 4 ovens?

Accepted Answer

3

Answer

6 h

Answer

12 h

Answer

4 h

Question 30

If a rectangular garden has a length of 10 meters and a width of 5 meters, what is its area?

Accepted Answer

50 m²

Answer

40 m²

Answer

60 m²

Answer

30 m²

Question 31

Which is NOT true about inverse variation?

Accepted Answer

Both variables always increase together

Answer

The product of

y = -3

and

x = 4

is constant

Answer

Graph is a hyperbola

Answer

One increases while the other decreases

Question 32

What is the general form of an equation representing inverse variation?

Accepted Answer

Answer

Answer

Answer

Question 33

What does it mean if the value of

y = -3

in the inverse variation equation

x = 4

is negative?

Accepted Answer

As

y = -3

increases,

x = 4

decreases and vice versa.

Answer

The graph is a straight line.

Answer

Both variables are always negative.

Answer

Both variables increase simultaneously.

Question 34

How can you test if a table shows inverse variation?

Accepted Answer

Check if

y = -3

is constant

Answer

Check if

y = -3

is constant

Answer

Check if

y = -3

is constant

Answer

Check if

y = -3

is constant

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