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Math 9_Q2-Mod.1:Direct & Inverse Variations

Quiz by Dona Aquino

Grade 9
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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20 questions
Show answers
  • Q1

    1. The intensity 𝐼 of light produced by a light source varies inversely as the square of the distance 𝑑from the source is written as

    𝑑2 = 𝑘𝐼

    𝐼 = \frac{k}{d^2}

    𝑑2=\frac{k}{l}

    𝐼 = 𝑘𝑑2        

    30s
    M9AL-IIa-1
  • Q2

    2. The number of kilograms of water 𝑤 in a person’s body varies directly as the person’s mass 𝑚 is written as

    m=kw

    w = km

    w=\frac{k}{m}

    m=\frac{k}{w}

    30s
  • Q3

    3. Which is an example of direct variation?

    x𝑦 = −8

    y=-\frac{8}{x}

    xy=-\frac{1}{8}

    𝑦 = −8x

    30s
  • Q4

    4. If 𝑦 varies directly as 𝑥 and 𝑦 = 30 when 𝑥 = 5, find the constant of variatio

    25

    35

    150

    6

    30s
  • Q5

    5. Which is an example of inverse variation?

    x=\frac{y}{13}

    x=13y

    y=13x

    y=\frac{13}{x}

    30s
  • Q6

    6. If 𝑦 varies inversely as 𝑥 and 𝑦 = 6 when 𝑥 = 12, find the constant of variation.

    18

    6

    72

    2

    30s
  • Q7

    7. Which of the following describes a direct variation?  

    Answer Image
    Answer Image
    Answer Image
    Answer Image
    30s
  • Q8

    8. Which of the following describes an inverse variation?

    Answer Image
    Answer Image
    Answer Image
    Answer Image
    30s
  • Q9

    9.    Which variation statement describes the graph below?

    Question Image

    𝑦 varies directly as 𝑥, where 20 is the constant of variation

    𝑦 varies inversely as 𝑥, where 20 is the constant of variation

    𝑦 varies inversely as 𝑥,where 40 is the constant of variation

    𝑦 varies directly as 𝑥, where 40 is the constant of variation

    30s
  • Q10

    10. Which variation statement describes the graph below?

    Question Image

    𝑦 varies inversely as 𝑥, where 3 is the constant of variation

    𝑦 varies directly as 𝑥,where 3 is the constant of variation

    𝑦 varies directly as 𝑥, where 2 is the constant of variation

    𝑦 varies inversely as 𝑥, where 2 is the constant of variation

    30s
  • Q11

    11. Which variation statement represents the table of values below?

    Question Image

    𝑥 varies directly as 𝑦 where 12 is the constant of variation 

    𝑦 varies inversely as 𝑥where 12 is the constant of variation

    𝑦 varies directly as 𝑥 where 12 is the constant of variation

    𝑥 varies inversely as 𝑦 where 12 is the constant of variation

    30s
  • Q12

    12.  Which mathematical equation represents the table of values below?

    Question Image

    x=\frac{4}{x}

    y=\frac{4}{x}

    𝑥 = 4𝑦

    𝑦 = 4𝑥

    30s
  • Q13

    13.  If 𝑦 varies directly as 𝑥 and 𝑦 = 120 when 𝑥 = 8, find 𝑦 when 𝑥 = 10.

    15

    96

    150

    80

    30s
  • Q14

    14.  If 𝑦 varies directly as 𝑥 and 𝑦 = 4 when 𝑥 = 10, find 𝑥 when 𝑦 = 12.

    14

    8

    30

    40

    30s
  • Q15

    15.  If 𝑦 varies inversely as 𝑥 and 𝑦 = 14 when 𝑥 = 3, find 𝑦 when 𝑥 = 6.

    10

    7

    9

    8

    30s

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