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Questions on Quadratics

Crafted by Trivia Architect jonnowales

Fun Trivia : Quizzes : Algebra : Questions on Quadratics
"Quadratic equations and the formula used to attain the correct answers are certainly wonderful. On the other hand many would be delighted if they never saw a quadratic again. Well?sorry! Enjoy!"


1. When given a relatively basic quadratic question such as x^2 + 9x + 20, which of these options is a suitable way to solve it?
    Collaborating
    Factorising
    Derivatising
    Collating


2. What would be the two constituents of the following quadratic question: x^2 + x - 6?
    (x+6) and (x+5)
    (x+4) and (x+4)
    (x+3) and (x-2)
    (x+3) and (x+2)


3. Basic arithmetic will be important in your attempt to solve the next question. What are the two constituents of x^2 - 9x + 18?
    (x+3) and (x+6)
    (x-3) and (x+6)
    (x+3) and (x-6)
    (x-3) and (x-6)


4. Quadratics are not always basic and often the x^2 term will have a co-efficient greater than 1. What are the two components of the following: 3x^2 + 9x + 6? (There are other possibilities, however, only one of the following answers is correct)
    (3x+1) and (x+5)
    (3x+1.5) and (x+4)
    (3x+3) and (x+2)
    (3x-3) and (x-2)


5. An equation is a phrase which contains an equals (=) sign and is therefore able to be solved to give roots (answers). In quadratics there are ALWAYS two answers. Solve the following equation: x^2 - 4x + 4 = 0.
    x = 3, x = 1
    x = 3, x = 2
    x = 2, x = 2
    x = 4, x = 1


6. Solve the following quadratic equation: x^2 + 2x - 8 = 0.
    x = -3, x = 3
    x = 1, x = -6
    x = 2, x = 2
    x = -4, x = 2


7. In those dreaded maths examinations, students are often given the components and are asked to find the original quadratic expression. Find the expression from the following constituents: (x+8) and (x-3).
    x^2 + 11x + 24
    x^2 + 3x + 5
    x^2 + 3x - 11
    x^2 + 5x - 24


8. Find the expression from the given components: (x-6) and (x-4).
    x^2 + 10x - 24
    x^2 - 10x - 24
    x^2 - 10x + 24
    x^2 + 10x + 24


9. The topic of quadratics does indeed have an equation, and boy is it an equation! X = -b ? (?) / 2a. Within this equation you will see a missing portion indicated by a question mark in brackets/parentheses. (?) = the square root of what?
    d^2 + 4bd
    c^2 - 4bc
    b^2 - 4ac
    a^2 + 4af


10. Quadratic equations can also be shown graphically. If the quadratic expression was positive: y = 3x^2 + x - 2, what shape would the graphical curve be?
    All of these
    n
    u
    c


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