Republic of the Philippines
Department of Education
Region IX, Zamboanga Peninsula
CULIANAN NATIONAL HIGH SCHOOL
Culianan, Zamboanga City
Republic of the Philippines
Department of Education
Region IX, Zamboanga Peninsula
CULIANAN NATIONAL HIGH SCHOOL
Culianan, Zamboanga City
Math 9
Quiz No. 1
Math 9
Quiz No. 1
Test I.
Directions: Read and understand each item carefully. Write
only the letter of your answer.
1. Which of the following is NOT TRUE about direct variation
for the two quantities x and y?
Test I.
Directions: Read and understand each item carefully. Write
only the letter of your answer.
1. Which of the following is NOT TRUE about direct variation
for the two quantities x and y?
2. Which of the following illustrates an inverse variation where
k is constant.
2. Which of the following illustrates an inverse variation where
k is constant.
A. An increase in x cause a decrease in y.
B. A decrease in x causes a decrease in y.
C. An increase in x cause an increase in y as well.
D. Both B and C
A. 𝑃 = 𝑘𝑠
B. 𝑃 =
𝑘
C. 𝑃 =
𝑠
𝑠
𝑘
D. Both B and C
A. An increase in x cause a decrease in y.
B. A decrease in x causes a decrease in y.
C. An increase in x cause an increase in y as well.
D. Both B and C
A. 𝑃 = 𝑘𝑠
B. 𝑃 =
𝑘
C. 𝑃 =
𝑠
𝑠
𝑘
D. Both B and C
3. Which of the following statements best translates 𝑦 = 𝑘𝑥?
3. Which of the following statements best translates 𝑦 = 𝑘𝑥?
4. Which of the following mathematical statement illustrates
combined variation?
4. Which of the following mathematical statement illustrates
combined variation?
A. x varies inversely as y.
B. y varies directly as x.
C. x is inversely proportional to y.
D. y is inversely proportional to x.
A. 𝑄 = 𝑟𝑠
B. 𝑄 =
𝑘𝑟
𝑠
C. 𝑄 =
𝑟𝑡
𝑘
D. 𝑄 = 𝑘𝑟𝑠
A. x varies inversely as y.
B. y varies directly as x.
C. x is inversely proportional to y.
D. y is inversely proportional to x.
A. 𝑄 = 𝑟𝑠
B. 𝑄 =
𝑘𝑟
𝑠
C. 𝑄 =
𝑟𝑡
𝑘
D. 𝑄 = 𝑘𝑟𝑠
5. What type of variation does the graph below represent?
5. What type of variation does the graph below represent?
A. Inverse variation
B. Direct variation
C. Joint variation
D. Combined variation
A. Inverse variation
B. Direct variation
C. Joint variation
D. Combined variation
Test II.
Directions: Solve the following problems involving variations.
Show your complete solution. (5 points each)
1. If a varies directly as 𝑏 and a = 14 when 𝑏 = 2, what is a
when 𝑏 = 5?
Test II.
Directions: Solve the following problems involving variations.
Show your complete solution. (5 points each)
1. If a varies directly as 𝑏 and a = 14 when 𝑏 = 2, what is a
when 𝑏 = 5?
2. If 𝑦 varies inversely as 𝑥 and 𝑦 = 2 when 𝑥 = 3. Find 𝑦
when 𝑥 = 8.
2. If 𝑦 varies inversely as 𝑥 and 𝑦 = 2 when 𝑥 = 3. Find 𝑦
when 𝑥 = 8.
3. 𝑦 varies directly as 𝑥 and inversely as 𝑧, and 𝑦 = 6 when
𝑥 = 8 and 𝑧 = 4. Find 𝑦 when 𝑥 = 12 and 𝑧 = 9.
3. 𝑦 varies directly as 𝑥 and inversely as 𝑧, and 𝑦 = 6 when
𝑥 = 8 and 𝑧 = 4. Find 𝑦 when 𝑥 = 12 and 𝑧 = 9.
4. If 𝒛 varies directly as 𝒙 and inversely as y, and 𝒛 = 𝟗 when
𝒙 = 𝟔 and 𝒚 = 𝟐. Find 𝒛 when 𝒙 = 𝟖 and 𝒚 = 𝟏𝟐.
4. If 𝒛 varies directly as 𝒙 and inversely as y, and 𝒛 = 𝟗 when
𝒙 = 𝟔 and 𝒚 = 𝟐. Find 𝒛 when 𝒙 = 𝟖 and 𝒚 = 𝟏𝟐.
5. 𝑧 varies jointly as 𝑥 and 𝑦. If 𝑧 = 3 when 𝑥 = 3 and 𝑦 =
15, find z when x = 6 and y = 9.
5. 𝑧 varies jointly as 𝑥 and 𝑦. If 𝑧 = 3 when 𝑥 = 3 and 𝑦 =
15, find z when x = 6 and y = 9.