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7th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    For which equation(s) is \[x=3\]a solution? (i) \[2x-5+3x=10\]                  (ii) \[\frac{-x+7}{2}=2\] (iii) \[4x-11=17\]                     (iv) \[9=-(x-1)+11\]

    A) only (i)           

    B) (i) and (ii)

    C) (i), (ii) and (iii)            

    D) (i), (ii) and (iv)

    Correct Answer: D

    Solution :

    (i) \[2x-5+3x=10\] \[\Rightarrow \,\,5x=15\] \[\Rightarrow \,\,x=3\] (ii) \[-x+7=2\times 2\Rightarrow -x=4-7\Rightarrow x=3\] (iii) \[4x=17+11\Rightarrow x=28\div 4=7\] (iv) \[9=-x+1+11\Rightarrow -x=9-12\Rightarrow x=3\]


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