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Fundamental Concepts Test - 2

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Fundamental Concepts Test - 2
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  • Question 1
    1 / -0

    Find and correct errors of the following mathematical expressions:

    7y+5y+y−12y=0

    Solution

    The given statement is incorrect.

    As all the terms have same variables, we can perform operations of addition and substraction. Therefore the correct statement is 7y+5y+y-12y=y.

     

  • Question 2
    1 / -0

    Identify the terms, their coefficients for each of the following expressions. 2lmn2-3mn

    Solution

    Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression, so here the constant are 2,3.

     

  • Question 3
    1 / -0

    Find and correct errors of the following mathematical expressions:

    (5x)2+8(2x)+9=25x2+8x+9

    Solution

    The given statement is incorrect. Only the first term is written incorrect. Correct statement is

    (5x)2+8(2x)+9=25x2+16x+9

     

  • Question 4
    1 / -0

    Find and correct errors of the following mathematical expressions:
    x+3x+14x=17x

    Solution

    The given statement is incorrect.

    As all the terms have same variable x, we can add them,

    Therefore, correct statement is x+3x+14x=18x

     

  • Question 5
    1 / -0

    Find and correct errors of the following mathematical expressions: 3/4z+3 = 1/4z

    Solution

    As we cannot separate the denominators the statement will remain as it is 3/4z+3 = 3/4z+3

     

  • Question 6
    1 / -0

    Find and correct errors of the following mathematical expressions:

    (2z)+ 5z = 4z + 5z = 9z

    Solution

    The given statement is incorrect. The correct statement is

    (2z)+ 5z = 4z2 + 5z

     

  • Question 7
    1 / -0

    Find and correct errors of the following mathematical expressions:

    3x2/3x2 = 0

    Solution

    3x2/3x2  = 1 The statement is incorrect. Like terms after cancellations leave remainder as 1.

     

  • Question 8
    1 / -0

    Find and correct errors of the following mathematical expressions:

    (4z+5)/4z = 5

    Solution

    After separating the denominators, we get (4z+5)/4z = 1 + 5/4z the correct answer.

     

  • Question 9
    1 / -0

    Find and correct errors of the following mathematical expressions: 2m+3n=5mn

    Solution

    As we cannot apply one rule over here, the correct statement is

    2m + 3n = 2m + 3n

     

  • Question 10
    1 / -0

    Find and correct errors of the following mathematical expressions:

    (m+4) (m+2) = m2+8

    Solution

    (m+4) (m+2) = m+ 6m + 8 

     

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