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Algebraic Expressions Test - 4

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Algebraic Expressions Test - 4
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Weekly Quiz Competition
  • Question 1
    1 / -0

    What is the value of 3x3 - 9y2 + 4xy when x = 5 and y = 7?

    Solution

    3x3 - 9y2 + 4xy
    When x = 5 and y = 7, then

    3 × (5)3 - 9 × (7)2 + 4 × (5) × (7)
    = 3 × 125 - 9 × 49 + 4 × 35

    = 375 - 441 + 140
    = 74

     

  • Question 2
    1 / -0

    An expression is added to 2a2 + b3 + 10b + 13ab to obtain a3 + 6a2 + 7b3 + 19b + 13ab. The added expression is:

    Solution

    a3 + 6a2 + 7b3 + 13ab + 19b - (2a2 + b3 + 13ab + 10b)

    = a3 + 6a2 + 7b3 + 13ab + 19b - 2a2 - b3 - 13ab - 10b

    = 4a2 + a3 + 6b3 + 9b

     

  • Question 3
    1 / -0

    Simplify the given expression and mark the correct option.

    5x + 6x5 - 17x - x4 + x17 + 9x + 4x4

    Solution

    5x + 6x5 - 17x - x4 + x17 + 9x + 4x4
    = (5x -17x + 9x) + 6x5 + (4x4 - x4) + x17

    = -3x + 6x5 + 3x4 + x17
    = x17 + 6x5 + 3x4 - 3x

     

  • Question 4
    1 / -0

    What should be the value of y, if the value of 2x2 + x - y is 5 when x = 1?

    Solution

    2x2 + x - y = 5 when x = 1.

    Putting x = 1 in the given equation,

    2 × (1)2 + 1 - y = 5
    2 + 1 - y = 5
    3 - y = 5
    y = 3 - 5
    y = -2

     

  • Question 5
    1 / -0

    Simplify the following expression and mark the correct option.

    x4 + 16x + 19x + x2 + 3x3 - (16x - 3x + 2x2 - 3x3 + 6x3)

    Solution

    x4 + 16x + 19x + x2 + 3x3 - (16x - 3x + 2x2 - 3x3 + 6x3)

    => x4 + 16x + 19x + x2 + 3x3 - 16x + 3x - 2x2 + 3x3 - 6x3

    => x4 + 16x + 19x - 16x + 3x + x2 + 3x3 - 2x2 + 3x3 - 6x3

    => x4 + 22x - x2

     

  • Question 6
    1 / -0

    x5 + 16x + 2x2 + 17x4 + 19 is more than 16x + 18 + x2 + x5 + 17x4 by

    Solution

    x5 + 16x + 2x2 + 17x4 + 19 - (16x + 18 + x2 + x5 + 17x4)

    = x5 + 16x + 2x2 + 17x4 + 19 - 16x - 18 - x2 - x5 - 17x4

    = x2 + 1

     

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