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7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    Simplify \[\frac{3}{4}x-\frac{2}{5}ax-y+\frac{1}{3}ax-\frac{1}{8}x\] and find its value when \[a=3,\,x=(-2)\] and \[y=(-6)\].

    A)  \[5\frac{3}{20}\]               

    B)         \[3\frac{3}{20}\]

    C)  \[\frac{13}{20}\]                             

    D)         \[5\frac{1}{20}\]

    Correct Answer: A

    Solution :

     \[\frac{3}{4}x-\frac{2}{5}ax-y+\frac{1}{3}ax-\frac{1}{8}x\] \[=\frac{5}{8}x-\frac{1}{15}ax-y\] When \[a=3,\] \[x=(-2)\] and \[y=(-6),\] the value of the expression is \[\frac{5}{8}(-2)-\frac{1}{15}(3)(-2)-(-6)\] \[=\frac{103}{20}=5\frac{3}{20}\]


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