This document contains 8 multiple choice questions about variation equations: 1. The questions ask about direct and inverse variation equations and how to write statements of variation in equation form. 2. Key concepts covered include direct variation (varies directly as), inverse variation (varies inversely as), and joint variation (varies jointly as). 3. The correct answers are provided to test understanding of different variation equations including Boyle's law and Charles' law.

1. PART I.
Multiple Choice. Write the best answer before each number. Write E if the
answer is not in the choices.
1. What is y varies inversely as x in variation equation?
a. y = k/x b. y = kx c. y = x/k d. none of these
2. r varies directly as the cube of s and inversely as t can be written as _______.
a. 𝑟 = 𝑘𝑠3
/𝑡 b. . 𝑟 = 𝑘𝑠2
/𝑡 c. . 𝑟 = 𝑘𝑠3
𝑡 d. a and c
3. What is the formula to find the constant of variation when x varies directly
as a?
a. k= x/a c. k = a/x
b. k= ax d. none of these
4. b varies jointly as a, t and h can be written as ______.
a. 𝑎 = 𝑘
𝑏
𝑡ℎ
b. 𝑎 = 𝑏
𝑘
𝑡ℎ
c. b = kath d. none of these
5. What is “twice the sum of x and y varies directly with the sum of a and h
and inversely with the cube of c” in variation statement?
a. 2(𝑥 + 𝑦) =
𝑘(𝑎+ℎ)
𝑐2
c. 2(𝑥 + 𝑦) =
𝑘(𝑎+ℎ)
𝑐3
b. 2(𝑥 − 𝑦) =
𝑘(𝑎+ℎ)
𝑐2 d. 2(𝑥 − 𝑦) =
𝑘(𝑎+ℎ)
𝑐3
6. Which of the following equations best corresponds the statement “the area
of triangle varies jointly as the base and the height”?
a. A = kbh b. A = bh c. A = kb/h d. A = kh/b
7. Boyle’s law states that if the temperature is constant, the volume of a mass
of gas varies inversely as the pressure to which it is subjected. If V represents the
volume and p is the pressure, which of the following is the correct equation of the
law?
a. V = kp b. V = k(1/p) c. V = P/k d. none of these
8. Charles’ law states that if the pressure is constant, the volume of a given
mass of gas varies directly as the absolute temperature. Let V and t represent the
volume and temperature, respectively. Which of the following is an applicable
formula of Charles; law?
a. V = k/t b. V = kt c. V = t/k d. none of these