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Summative Test Module 1

Quiz by Hannah Jean Rico

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

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20 questions
Show answers
  • Q1

    The  intensity I light produced by a light source varies inversely as the square of the distance d  from the source is written as __________

    d^2=kI

    I=kd^2

    d^2=\frac{k}{I}

    I=\frac{k}{^{d^2}}

    30s
    M9AL-IIa-1
  • Q2

    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

    m=\frac{k}{w}

    𝑤 = 𝑘𝑚

    w=\frac{k}{m}

    30s
    M9AL-IIa-1
  • Q3

    Which is an example of direct variation?

      𝑦 = −8𝑥

    xy=-\frac{1}{8}

    𝑥𝑦 = −8 

    y=\frac{-8}{x}

    30s
    M9AL-IIa-1
  • Q4

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

    150

    25

    35

    6

    30s
    M9AL-IIa-b-1
  • Q5

    Which is an example of inverse variation?

    x=\frac{y}{13}

    𝑥 = 13𝑦        

    y=\frac{13}{x}

    𝑥 = 13𝑦        

    60s
    M9AL-IIa-1
  • Q6

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

    2

    18

    72

    6

    45s
    M9AL-IIa-b-1
  • Q7

    Which of the following describes a direct variation?

    x:      2      4          6       8

    y:      8     16      24    32

    x:      1         2       4       8

    y:      1         4      9       16

    x:      4             8          12      16

    y:     -12      -24         -36     -48

    x:      1         2          4       8

    y:      40     20      10     5

    30s
    M9AL-IIa-b-1
  • Q8

    Which of the following describes an inverse variation?

    x:       3      6       9      12

    y:     15     12    9       6

    x:       1      2        3       4

    y:     10     20    30     40

    x:       4      8      16      32

    y:     64     32    16     8

    x:       1      3      5      7

    y:     32    24    16    8

    45s
    M9AL-IIa-b-1
  • Q9

    Which variation statement describes the graph?

    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

    45s
    M9AL-IIa-b-1
  • Q10

    Which variation statement describes the graph?

    Question Image

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

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

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

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

    45s
    M9AL-IIa-b-1
  • Q11
    60s
  • Q12

    Which mathematical equation represents the table of values below?

    x: 8          24          40          64

    y: 32       96         160        256

    𝑦 = 4𝑥

    𝑥 = 4𝑦

    y=\frac{4}{x}

    x=\frac{4}{y}

    60s
    M9AL-IIa-b-1
  • Q13

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

    15

    96

    80

    150

    120s
    M9AL-IIa-b-1
  • Q14

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

    8

    30

    40

    14

    30s
    M9AL-IIa-b-1
  • Q15

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

    7

    9

    8

    10

    120s
    M9AL-IIa-b-1

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