A.) MULTIPLE CHOICE
Directions: Read and analyze each item carefully. Write the letter of the correct answer on the space provided before the number.

_______1.) For two quantities x and y, an increase in x causes an increase to y as well. What kind of variation is described?

a.) Directly Variation
b.) Inversely Variation
c.) Jointly variation
d.) Combined Variation

_______2.) For two quantities x and y, an increase in x causes a decrease to y and vice versa. What kind of variation is described?

a.) Directly Variation
b.) Inversely Variation
c.) Jointly Variation
d.) Combined Variation

_______3.) It takes place when a variable is directly proportional to the product of two or more variables.

a.) Directly Exponent
b.) Inversely Variation
c.) Jointly Variation
d.) Combined Variation

_______4.) This is the kind of variation that involves both the direct and inverse variation.

a.) Direct Exponent
b.) Proportional
c.) Jointly Variation
d.) Combined Variation

_______5.) In the variation equation "y=kx", what does "k" stands for?

a.) Ratio
b.) Proportional
c.) Exponent
d.) Constant of Variation

_______6.) Express the statement "W varies directly as x3 but inversely as y2" as an equation?

a.) W = x³/y²
b.) W = [(kx)]³y²
c.) y = kx³y²
d.) W = x³y²

_______7.) The area ( y ) of a triangle varies jointly as its base ( x ) and height ( z ). Which equation represents the relationship of the quantities?

a.) y = kxz
b.) y = kx/z
c.) y = k/xy
d.) y = kz/x

8 - 9. The table below shows that the "y varies directly as x".

| x | 1 | 2 | 3 | 4 |
| y | 4 | 8 | 12 | 16 |

_______8.) What is the value of constant of variation which describes the relation?

a.) k = 24
b.) k = 4
c.) k = -2
d.) k = 10

_______9.) Which of the following equation defines the relation?

a.) y = 3x
b.) x = 16y
c.) x = 4z
d.) y = 4x

_______10.) Which of the following describes an inverse variation?

a.) | x | 1 | 2 | 3 | 4 |
| y | 2 | 1 | ⅔ | ½ |

b.) | x | 1 | 2 | 3 | 4 |
| 5 | 10 | 15 | 20 |

c.). | x | 40 | 30 | 20 | 10 |
| y | 8 | 6 | 4 | 2 |

d.) | x | 4 | 8 | 10 | 12 |
| y | 2 | 4 | 5 | 6 |

_______11.) The distance D covered by a falling body varies directly as the square of the time T it takes to fall. If an object falling 30-meter altitude takes 2 seconds to reach the ground, how high the building if an object from its rooftop takes 12 seconds to reach the ground?

a.) 1080 meter
b.) 1060 meter
c.) 1050 meter
d.) 1040 Meter

_______12.) A certain quantity P varies directly with the square of another quantity Q. If P=2 when Q=0.5 Find P when Q=10.

a.) 500
b.) 600
c.) 700
d.) 800

_______13.) If y varies inversely as x and y=27 when x=3, find y when x=9.

a.) 8
b.) 9
c.) 10
d.) 11

_______14.) The kinetic energy K varies jointly as the mass m and the square velocity v. Suppose K is 50 ergs when m is 4 g and v is 5 cm/sec. Find K when m is 10 g and v is 3 cm/sec.

a.) 30 ergs
b.) 35 ergs
c.) 40 ergs
d.) 45 ergs

_______15.) The volume of a right circular cone varies jointly with the square of its radius and its height. An ice cream cone 12 cm high with a radius of 3 cm has a volume of 113.04cm³. If the radius of this cone is decreased by ½ cm, by how much will its volume decrease?

a.) 78.525cm³
b.) 68.525cm³
c.) 58.525cm³
d.) 48.525cm³​