Question 1

If y varies directly with x, and y = 12 when x = 4, what will y be when x = 6?

Accepted Answer

18

Answer

15

Answer

24

Answer

9

Question 2

If y varies directly with x, and y = 10 when x = 5, what will y be when x = 8?

Accepted Answer

16

Answer

18

Answer

12

Answer

14

Question 3

If y varies directly with x, and y = 20 when x = 4, what will y be when x = 10?

Accepted Answer

50

Answer

60

Answer

40

Answer

25

Question 4

If y varies directly with x, and y = 8 when x = 2, what will y be when x = 5?

Accepted Answer

20

Answer

25

Answer

12

Answer

16

Question 5

If y varies directly with x, and y = -15 when x = 3, what will y be when x = -5?

Accepted Answer

25

Answer

-10

Answer

-20

Answer

35

Question 6

If y varies directly with x, and y = 25 when x = 5, what will y be when x = 10?

Accepted Answer

50

Answer

30

Answer

40

Answer

20

Question 7

If y varies directly with x, and y = 6 when x = 2, what will y be when x = -4?

Accepted Answer

-12

Answer

-6

Answer

12

Answer

-8

Question 8

If y varies directly with x, and y = 16 when x = 8, what will y be when x = 12?

Accepted Answer

24

Answer

8

Answer

12

Answer

16

Question 9

If y varies directly with x, and y = -10 when x = -2, what will y be when x = 5?

Accepted Answer

25

Answer

50

Answer

-15

Answer

-5

Question 10

Which of the following represents an indirect variation relationship?

Accepted Answer

b

Answer

y = x^2 + 3x - 1

Answer

y = \frac{x}{2} + 5

Answer

y = \frac{4}{x}

Answer

y = 3x + 2

Question 11

Which of the following equations represents an indirect variation relationship?

Accepted Answer

c

Answer

y = \frac{7}{x+2}

Answer

y = 3x^2 - 5

Answer

y = 2x + 3

Answer

y = \frac{x}{4}

Question 12

If y varies indirectly with x, and when x = 4, y = 10, what is the value of y when x = 5?

Accepted Answer

8

Answer

10

Answer

6

Answer

12

Question 13

If y varies indirectly with x, and when x = 8, y = 12, what is the value of y when x = 3?

Accepted Answer

20

Answer

8

Answer

15

Answer

6

Question 14

If a varies inversely with b, and when b = 6, a = 12, what is the value of a when b = 4?

Accepted Answer

18

Answer

9

Answer

8

Answer

16

Question 15

If y varies indirectly with x, and when x = 10, y = 6, what is the value of y when x = 5?

Accepted Answer

12

Answer

10

Answer

8

Answer

5

Question 16

If z varies inversely with w, and when z = 6, w = 3, what is the value of z when w = 5?

Accepted Answer

3.6

Answer

6

Answer

4

Answer

2

Question 17

If y varies indirectly with x, and when x = 6, y = 4, what is the value of x when y = 8?

Accepted Answer

3

Answer

2

Answer

6

Answer

4

Question 18

If y varies indirectly with x, and when x = 5, y = 10, what is the value of x when y = 3?

Accepted Answer

16.66

Answer

5

Answer

8

Answer

15

Question 19

Which of the following is an example of joint variation?

Accepted Answer

The area of a rectangle is proportional to the product of its length and width.

Answer

The circumference of a circle is proportional to its radius.

Answer

The volume of a cube is proportional to the length of its side.

Answer

The weight of an object is proportional to its mass.

Question 20

Which of the following represents a joint variation?

Accepted Answer

The force required to stretch a spring is directly proportional to the displacement from its equilibrium position and the spring constant.

Answer

The speed of a car is inversely proportional to the distance traveled.

Answer

The temperature of a liquid is directly proportional to its volume.

Answer

The population of a city is directly proportional to its area.

Question 21

Which of the following scenarios represents joint variation?

Accepted Answer

The amount of money earned is directly proportional to the number of hours worked and the hourly wage.

Answer

The volume of a gas is directly proportional to the pressure and the temperature.

Answer

The speed of a car is directly proportional to the distance traveled and the time taken.

Answer

The temperature of an object is inversely proportional to the amount of time it is exposed to heat.

Question 22

Which of the following represents joint variation?

Accepted Answer

The cost of a taxi ride is directly proportional to the distance traveled and the rate per mile.

Answer

The speed of an object is directly proportional to the force applied and the mass.

Answer

The volume of a liquid is directly proportional to the temperature and the pressure.

Answer

The value of a stock is inversely proportional to the number of shares available.

Question 23

Which of the following is NOT an example of combined variation?

Accepted Answer

y = 2x^3 + 5x

Answer

y = kx^2

Answer

y = 3x + 2

Answer

y = ax + b

Question 24

Which of the following represents a combined variation equation?

Accepted Answer

y = kx^2 / z

Answer

y = 3x + 2

Answer

y = kx^3

Answer

y = ax + b

Question 25

Which of the following is an example of combined variation?

Accepted Answer

y = kx^2/z

Answer

y = ax + b

Answer

y = kx^3

Answer

y = 3x + 2

Question 26

Which of the following represents a direct variation equation?

Accepted Answer

y = kx

Answer

y = 2x^2

Answer

y = k/x

Answer

y = 3x + 2

Question 27

Which of the following equations represents a combined variation?

Accepted Answer

y = kx^2 / z

Answer

y = ax + b

Answer

y = 3x + 2

Answer

y = kx^3

Question 28

Which of the following is an example of indirect variation?

Accepted Answer

y = k/x

Answer

y = ax + b

Answer

y = kx^2

Answer

y = 3x + 2

Question 29

Which of the following equations represents direct variation?

Accepted Answer

y = 4x

Answer

y = k/x

Answer

y = -3x

Answer

y = 2x^2

Question 30

Which of the following is an example of inverse variation?

Accepted Answer

y = k/x

Answer

y = 3x + 2

Answer

y = kx^2

Answer

y = ax + b

Question 31

Which of the following is an example of joint variation?

Accepted Answer

y = kxz

Answer

y = k/x

Answer

y = 3x + 2

Answer

y = ax + b

Question 32

Which of the following is an example of inverse variation?

Accepted Answer

As the number of hours you sleep decreases, your level of tiredness increases.

Answer

As the number of hours you exercise increases, your heart rate decreases.

Answer

As the number of hours you study increases, your test scores increase.

Answer

As the number of hours you work increases, your paycheck increases.

Question 33

Which of the following equations represents inverse variation?

Accepted Answer

y = k/x

Answer

y = kx

Answer

y = kx^2

Answer

y = mx + b

Question 34

Which of the following represents an inverse variation relationship?

Accepted Answer

As the number of students per classroom decreases, the amount of individual attention from the teacher increases.

Answer

As the temperature increases, the rate of ice melting increases.

Answer

As the number of books in a library increases, the number of available seats decreases.

Answer

As the amount of rainfall increases, the growth of plants increases.

Question 35

Which of the following is true about inverse variation?

Accepted Answer

The product of the two variables remains constant.

Answer

The sum of the two variables remains constant.

Answer

The difference between the two variables remains constant.

Answer

The ratio of the two variables remains constant.

Question 36

Which of the following scenarios represents inverse variation?

Accepted Answer

As the number of people working on a project decreases, the time taken to complete the project increases.

Answer

As the number of hours studied increases, the test score increases.

Answer

As the price of a product decreases, the demand for it increases.

Answer

As the temperature decreases, the rate of ice cream melting increases.

Question 37

Which of the following equations represents an inverse variation relationship?

Accepted Answer

y = k/x

Answer

y = kx^2

Answer

y = kx

Answer

y = mx + b

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