A quiz on Joint and Combined variations.pptx

a quiz on joint and combined variations

1. JOINT AND COMBINED VARIATIONS QUIZ 2.2

2. GENERAL INSTRUCTIONS In your quiz notebook, write the corresponding letter of your answer. You’re only given 3 mins to solve/answer the given problem.

3. 1. The statement “G varies directly as the cube of x and inversely as the square of y” is expressed as: A. B. C. D.

4. 2. Which of the following is an equation of a joint variation? A. B. C. D.

5. 3. If b varies jointly as d, e, and f, then which of the following equations describes the relationship between the four variables b, d,e , and f? A. B. C. D.

6. 4. If z varies jointly as x and y, and z= 4 when x=2, and y= 8, what is the value of z when x =18 and y=6? A. 432 C. 27 B. 54 D. 1/4

7. 5. What is the constant of the variation when z varies as y and inversely as x, and z=12 when x=8 and y=24? A. 1/16 C. 16 B. 4 D. 36

8. 6. M varies directly as the square of p and inversely as the square of R. M=4, when p= 4, and R= 2. What is the value of M when p= 6 and R= 5? A. 12/75 C. 36/25 B. 1 D. 5/6

9. 7. A. 2 C. 3 B. 1/2 D. 1/3

10. 8. The force of attraction of a body varies directly as its mass and inversely as the square of the distance from the body. When mass= 8kg and distance=5m, its Force= 100 Newton. Which equation represents the relationships of the quantities given? A. F= km/ d 2 C. F= kmd 2 B. F= km/ d D. F= kmd

11. 9. The force of attraction of a body varies directly as its mass and inversely as the square of the distance from the body. When mass= 8kg and distance=5m, its Force= 100 Newton. What is the constant of variation? A. 5/2 C. 1/2 B. 125/2 D. 625/2

12. 10. The force of attraction of a body varies directly as its mass and inversely as the square of the distance from the body. When mass= 8kg and distance=5m, its Force= 100 Newton. Find Force when mass= 45 kg and distance =15m. A. 62.5 Newton C. 1687.5 Newton B. 187. 5 Newton D. 5062.5 Newton