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Quadratic Equation Part 2

Quiz by Angkol

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20 questions
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  • Q1

    What is a discriminant?

    The discriminant helps tell you the nature of roots of a quadratic equation.

    The discriminant helps tell you the trend of the graph of a quadratic equation.

    The discriminant helps tell you the solution of a quadratic equation.

    The discriminant helps tell you the vertex of a quadratic equation.

    30s
  • Q2

    How do we get the discriminant of quadratic equations?

    By substituting the values a, b and c in b2– 4ac.

    By substituting the values a, b and c in \left(\frac{b}{2}\right)^2

    By substituting the values a, b and c in  \frac{c}{a}

    By substituting the values a, b and c in \frac{-b}{2a}

    30s
  • Q3

    What is the nature of roots if the discriminant is -5?

    The equation has no real roots.

    The roots are irrational number and are not equal.

    The roots are real numbers and are equal.

    The roots are rational numbers but are not equal.

    30s
  • Q4

    What is the discriminant of the quadratic equation 3x2 – 2x + 5 = 0?

    64

    48

    -48

    -56

    30s
  • Q5

    Your classmate says that the quadratic equation 2x2 + 5x – 5 = 0 has two rational and unequal roots because the value of its discriminant is positive. Do you agree with your classmate?

    No, because the discriminant is -25

    No, because the roots are unequal irrational numbers.

    No, because the roots are equal rational numbers

    Yes, because the discriminant is 65

    30s
  • Q6

    How do we get the sum of the roots of quadratic equations?

    By substituting the values a, b and c in  \frac{c}{a}.

    By substituting the values a, b and c in \left(\frac{b}{2}\right)^2.

    By substituting the values a, b and c in b2– 4ac.

    By substituting the values a, b and c in \frac{-b}{a}

    30s
  • Q7

    How do we get the product of quadratic equations?

    By substituting the values a, b and c in b2– 4ac.

    By substituting the values a, b and c in \frac{-b}{a}.

    By substituting the values a, b and c in \frac{c}{a}.

    By substituting the values a, b and c in \left(\frac{b}{2}\right)^2.

    30s
  • Q8

    What is the sum of the roots of 4x2 –100 = 0?

    100

    25

    0

    4

    30s
  • Q9

    Your classmate says that the standard form of the quadratic given the roots -3 and15 is quadratic x2 + 12x – 45=0. Do you agree with your classmate?

    Yes, the quadratic equation is x2 +12x – 45=0.

    No, the quadratic equation is x2 –12x – 45=0.

    No, the quadratic equation is x2 + 12x + 45=0.

    No, the quadratic equation is x2 –12x + 45=0.

    30s
  • Q10

    What do you call to a solution of an equation derived from an original equation, however not a solution of the original equation?

    extraneous root

    square root   

    positive root       

    negative root

    10s
  • Q11
    10s
  • Q12

    Which of the following rational algebraic equations is transformable into a quadratic equation?

    \frac{3}{m-2}+\frac{4}{m+2}=\frac{7}{m}

    \frac{w+1}{2}-\frac{w+2}{4}=7

    \frac{2}{p}+\frac{3}{p+1}=5

    \frac{2q-1}{3}+\frac{1}{2}=\frac{3q}{4}

    45s
  • Q13
    45s
  • Q14

    What is the standard form of equation x(x+2) +2(x-2) = 1 when transformed to a quadratic equation?

    x2 + 4x – 2 = 0

    x2 + 2x – 5 = 0  

    x+ 4x - 5=0

    x2 + 2x - 2 = 0

    30s
  • Q15

    Which of the following is a solution of (x + 3)(x + 4) = 20?

    {3, 4}

    {1, -8}

    {-1, 8}

    {-3, -4}

    30s

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