# Summative Test Module 2

## Quiz by Hannah Jean Rico

Mathematics

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20 questions
• Q1

It is defined as the variation where a quantity depends directly on two or more other quantities,

Combined

Inverse

Direct

Joint

30s
M9AL-IIa-1
• Q2

Constant of variation is also known as ___________________________

Constant of Dependent Variable

Constant of Change

Constant of Independent Variable

Constant of Proportionality

30s
M9AL-IIa-1
• Q3

It is defined as the variation where a quantity depends on two or more other quantities, whereas one quantity varies directly while the other quantity varies inversely.

Joint

Inverse

Direct

Combined

30s
M9AL-IIa-1
• Q4

Which of the following equations best represent the statement “y varies directly as x and the square of z”?

𝑦 = 𝑘𝑥𝑧

𝑦 = 𝑘𝑥𝑧2

$y=\frac\left\{kx\right\}\left\{z^2\right\}$

$y=\frac\left\{kx\right\}\left\{z\right\}$

30s
M9AL-IIa-b-1
• Q5

If z varies jointly with x and y. When x=2 and y= -6, z= 24, then find z when x =-4 and y =5.

z=-20

z=-40

z=20

z=40

120s
M9AL-IIb-c-1
• Q6
30s
M9AL-IIa-1
• Q7
30s
M9AL-IIa-1
• Q8
30s
M9AL-IIa-1
• Q9

The Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object

is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.”

Which of the following best translates the given situation into its corresponding mathematical equation?

𝑤 = 𝑚ℎ

𝑤 = 𝑘𝑚ℎ

$w=\frac\left\{m\right\}\left\{h\right\}$

$w=\frac\left\{km\right\}\left\{h\right\}$

60s
M9AL-IIb-c-1
• Q10

The Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object

is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.”

Question:

What is the constant of variation?

k = 9

k=9.8

k=8.9

k = 8

300s
M9AL-IIb-c-1
• Q11

The Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object

is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2,116.8 Joules.”

Question:

How much work is done when lifting a 100-kilogram object 1.5 meters?

1 470 Joules

1 704 Joules

1 047 Joules

1740 Joules

300s
M9AL-IIb-c-1
• Q12

The volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.”

Question:

Which of the following best translates the given situation into its corresponding mathematical equation?

$v=khg^2$

$v=\frac\left\{h\right\}\left\{g^2\right\}$

$v=\frac\left\{kh\right\}\left\{g^2\right\}$

$v=hg^2$

30s
M9AL-IIb-c-1
• Q13

The volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.”

Question:

What is the constant of variation?

k=10.8

k=20.8

k=26.2

k = 16.2

30s
M9AL-IIb-c-1
• Q14

The volume of wood in a tree (V) varies directly as the height (h) and inversely as the square of the girth (g). The volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters.”

Question:

What is the height of a tree with a volume of 1,000 cubic meters and a girth of 2meters?

123.46 meters

223.46 meters

246.91 meters

206.91 meters

120s
M9AL-IIb-c-1
• Q15

Which ofthe following is the correct translation of the variation equation  𝑡 = 𝑘𝑎𝑏2?

t is directly proportional to a and b

t varies jointly as a, and inversely as the square of b

t varies inversely as a and the square of b

t is jointly proportional to a and the square of b

45s
M9AL-IIa-b-1

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