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Quadratic Inequalities in Two Variables

Quiz by Hannah Jean Rico

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

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Measures 2 skills from
Grade 9
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

M9AL-If-1
M9AL-If-2

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10 questions
Show answers
  • Q1

    Which quadratic inequality does NOT belong to the group? 

    a2-6 < -3

    4c2-2c > y

    x2+ 3x - 1 >10

    -(r+ 1) < r2+ 10

    60s
    M9AL-If-1
  • Q2

    "The square of twice x is less than -1" is translated in standard form as _________.

    (2x - 1 ) 2-1 <0

    2(x2-1) + 1 < 0

    (2x)2+1 <0

    2x2-1<0

    60s
    M9AL-If-1
  • Q3

    A ball is thrown vertically upward whose initial velocity is 6 m/s. If the distance (y) of the ball in meters from the ground after (t) time is y = 6t - t2, which inequality represents the height greater than 16 meters above the ground reached by the ball after t seconds? 

    t+ 6t - 16 > y 

    t- 6t + 16 > y 

    t- 6t + 16 < y 

    t+ 6t - 16 < y 

    60s
    M9AL-If-1
  • Q4
    60s
    M9AL-If-2
  • Q5

    How many solutions do quadratic inequalities in two variables have? 

    One

    infinite

    None

    Two

    60s
    M9AL-If-2
  • Q6

    Describe the opening of the graph of the leading coefficient or the quadratic term is negative. 

    The graph opens to the right. 

    The graph opens to the left. 

    The graph opens upward. 

    The graph opens downward. 

    60s
    M9AL-If-2
  • Q7

    What is the vertex in the graph of 2x+ 3x -4 < y? 

    (\frac{3}{4},\ \frac{-41}{8})

    (\frac{-3}{4},\ \frac{-41}{8})

    (\frac{-3}{4},\ \frac{41}{8})

    (\frac{3}{4},\ \frac{41}{8})

    120s
    M9AL-If-2
  • Q8
    Answer Image
    Answer Image
    Answer Image
    Answer Image
    60s
    M9AL-If-2
  • Q9

    The height reached by a shuttle cock that is thrown upward into the air is given by f(x) = -x2+ 25x where x represents the time in seconds after it is fired. In what time intervals is the projectile under 100m? 

    between 4 and 25 seconds

    between 2 and 50 seconds

    between 5 to 20 seconds

    120s
    M9AL-If-2
  • Q10
    60s
    M9AL-If-2

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