Summative Test Module 2
Quiz by Hannah Jean Rico
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- Q1
It is defined as the variation where a quantity depends directly on two or more other quantities,
Combined
Inverse
Direct
Joint
30sM9AL-IIa-1 - Q2
Constant of variation is also known as ___________________________
Constant of Dependent Variable
Constant of Change
Constant of Independent Variable
Constant of Proportionality
30sM9AL-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
30sM9AL-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
30sM9AL-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
120sM9AL-IIb-c-1 - Q630sM9AL-IIa-1
- Q730sM9AL-IIa-1
- Q830sM9AL-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
60sM9AL-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
300sM9AL-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
300sM9AL-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?
30sM9AL-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
30sM9AL-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
120sM9AL-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
45sM9AL-IIa-b-1