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Algebra Test - 9

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Algebra Test - 9
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Weekly Quiz Competition
  • Question 1
    1 / -0

    If a traveller travels x km in total and travels 3y km by car, 7z km on foot and the rest by bus, then which of the following represents the distance covered by bus?

    Solution

    According to the question:
    The traveler travels x km in total, and travels 3y km by car, 7z km on foot and the rest by bus.
    So, distance covered by bus =Total - Traveled by car - Traveled on foot
    = x - 3y - 7z

     

  • Question 2
    1 / -0

    A student scores 75 marks in his monthly Mathematics test, in which each answer is of 2 marks. He later finds out that x of his correct answers had not been checked. What is his new corrected score in the exam?

    Solution

    The student scores 75 marks in his monthly Mathematics test.
    Each question is of 2 marks.
    So, x questions will be of 2x marks.
    So, increased marks = 75 + 2x

     

  • Question 3
    1 / -0

    There are 12 tennis balls in every packet and 5 balls have been found to be defective in total. If y = The number of packets, then which of the following expressions shows the number of non-defective balls?

    Solution

    There are 12 tennis balls in every packet and y = Number of packets
    So, number of balls = 12 × y = 12y
    Defective balls = 5
    So, non-defective balls = 12y - 5

     

  • Question 4
    1 / -0

    There are 57 pages in a child's book. The pages are in three different colours, with y red pages, 7 more blue pages than red pages and 4 green pages less than blue pages. Which of the following equations can be used to find the number of pages of each colour?

    Solution

    Number of pages = 57
    Number of red pages = y
    7 more blue pages than red pages.
    So, blue pages = y + 7
    4 less green pages than blue pages.
    So, green pages = y + 7 - 4 = y + 3
    So,
    y + (y + 7) + (y + 3) = 57

     

  • Question 5
    1 / -0

    Fill in the blanks.

    (a) An expression with a variable that has a power as one and the sign of equality is P.
    (b) Adding 2 to a number x, followed by doubling the whole is Q.
    (c) The value that does not change in an equation is R.

    Solution

    (a) An expression with a variable that has a power as one and the sign of equality is called a linear equation.
    (b) Adding 2 to a number x = x + 2,
    doubling the whole = 2(2 + x) = 4 + 2x.
    (c) The value that does not change in an equation is called the constant.

     

  • Question 6
    1 / -0

    Which of the following equations has a solution as a positive even number?

    Solution

    (1) x + 2 = 3
    x = -1

    (2) 2x + 6 = 4
    2x = -2
    x = -1

    (3) 3x + 4 = 2
    3x = -2
    x = -2/3

    (4) 3x - 2 = 4
    3x = 4 + 2
    3x = 6
    x = 2

    So, solution x = 2 is a positive real number.

     

  • Question 7
    1 / -0

    State T for true and F for false.

    P. The solution of equation 3x + 4 = 16 is x = 4.
    Q. A linear algebraic equation always has an integer solution.
    R. If x is 4 more than thrice of y, then it can be expressed as x = 3y + 4

    Solution

    For P,
    Solution of 3x + 4 = 16
    3x = 12
    x = 4 (True)

    For Q,
    (False)
    For example

    x - 2/5 = 0

    x = 2/5

    For R,
    According to statement, x is 4 more than thrice of y.
    So, x = 3y + 4 (True)

     

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