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Algebra Test - 3

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Algebra Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0

    The breadth of a rectangle is w cm and the length is 5 times as long as its breadth. What is the perimeter of the rectangle?

    Solution

    We have, breadth = w cm ∴ Length = 5w cm So, perimeter=2(5w + w) = 2 × 6w = 12w cm

     

  • Question 2
    1 / -0

    If a = b, then ax =________.

    Solution

    If a = b, then ax = bx

     

  • Question 3
    1 / -0

    Twelve less than 3 times a number is 27. The number is ________.

    Solution

    Let the number be x. According to question, 3x − 12 = 27 ⇒ 3x = 39 ⇒x = 39/3 = 13

     

  • Question 4
    1 / -0

    Equation for the statement Thrice the length(l) of a room is 340 metres' is ________.

    Solution

    Let l be the length of a room. ∴3l = 340

     

  • Question 5
    1 / -0

    Power of a variable in a linear equation is

    Solution

    Power of a variable in a linear equation is One

     

  • Question 6
    1 / -0

    To get the value of ′y′, the number to be multiplied on either side of equation y/10 = 3/2 is _________.

    Solution

    We have, y/10 = 3/2
    ⇒10 × y/10 = 10 × 3/2 ⇒ y = 15

     

  • Question 7
    1 / -0

    The number of girls in a class is 3 times the number of boys. Which of the following cannot be the total number of students in the class?

    Solution

    Let the number of boys be x. ∴ Number of girls = 3x If x + 3x=41 ⇒ 4x = 41 ⇒ x = 41/4 And we know that the number of students can't be in fraction.

     

  • Question 8
    1 / -0

    The algebraic expression for the statement 'thrice of x is added to y multiplied by itself' is _______.

    Solution

    3 (x) + y × y = 3x + y2

     

  • Question 9
    1 / -0

    If 3/4 x + 8 = 17, then the value of x is _________.

    Solution

    We have, 3/4 x + 8 = 17  ⇒ 3/4 x = 17 − 8 = 9 ⇒ x = 9 × 4/3 = 12

     

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