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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

    Identify the like terms in 21p − 32 − 7p + 20p.

    Solution

    Like terms have the same literal coefficients.

     

  • Question 2
    1 / -0

    If l = −1 and m = 2, then the value of 4l2 + 9m2 + 2lm − 9l2 m is ____.

    Solution

    We have 4l2 + 9m2 + 2l m − 9 Fm

    = 4 (−1)2 + 9 (2)2 + 2 (−1) (2) −9 (−1)2 (2)

    = 4 + 36 − 4 − 18 = 40 − 22 = 18

     

  • Question 3
    1 / -0

    An expression is taken away from 3x2 − 4y2 +5 xy +20 to obtain −x2 − y2 +6 xy+20,then the expression is ____.

    Solution

    Required expression 

    =(3x2−4y2+5xy+20(−x2−y2+6xy+20)

    =3x2−4y2+5xy+20+x2+y2−6xy−20 

    =4x2−3y2−xy

     

  • Question 4
    1 / -0

    If x = −2, y =3 and  z = 1, then the value of expression 

    x3 + y3 + z3 − 3 xyz is ___.

    Solution

    (−2)3 + (3)3 + (1)3 − 3 (−2) (3) (1)
     = − 8 + 27 + 1 + 18 = 38

     

  • Question 5
    1 / -0

    ?x' packets of 6 sweets each are divided equally among 10 children. How many sweets does each child get?

    Solution

    Total number of sweets = 6x Number of sweets each child gets 

    = 6x1/0 = 3x/5

     

  • Question 6
    1 / -0

    In a school, 8a2 + 4a + 9 students were enrolled. 

    2a2 − 9a + 2 students were boys. How many girls were enrolled?

    Solution

    Number of girls enrolled  = (8a2 + 4a + 9) − (2a2 −9a+2)

    = 8a2 + 4a + 9 − 2a2 + 9a − 2 = 6a2 + 13a + 7

     

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