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Mathematics

9th -

12thgrade

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Indices, Log and Simultaneous Equations

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Sabih Siddiqui

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5 questions

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  • 1. Multiple Choice
    3 minutes
    1 pt

    Solve the simultaenous equations


     3x2−xy+2y2=163x^2-xy+2y^2=16 
     2y−x=42y-x=4  

     x=−2, y=1x=-2,\ y=1 

      x=43, y=83x=\frac{4}{3},\ y=\frac{8}{3}  

     x=43, y=83x=\frac{4}{3},\ y=\frac{8}{3} 


     x=43, y=1x=\frac{4}{3},\ y=1  

     x=83, y=43x=\frac{8}{3},\ y=\frac{4}{3} 

     x=1, y=−2x=1,\ y=-2  

  • 2. Multiple Choice
    5 minutes
    1 pt

    Solve the simultaneous equations
     25x×4y=182^{5x}\times4^y=\frac{1}{8} 

     7x×492y=17^x\times49^{2y}=1  

     x=−23, y=16x=-\frac{2}{3},\ y=\frac{1}{6}  

     x=16, y=−23x=\frac{1}{6},\ y=-\frac{2}{3}  

     x=−2, y=1x=-2,\ y=1  

     x=−3, y=6x=-3,\ y=6  

  • 3. Multiple Choice
    5 minutes
    1 pt

    Solve the following simultaneous equations, giving your answer in the for

     a+b3a+b\sqrt{3}  where  aa  and bb  are integers.

     2x+y=92x+y=9 

     3x+2y=5\sqrt{3}x+2y=5  

     x=4+3,  y=1−23x=4+\sqrt{3},\ \ y=1-2\sqrt{3}  

     x=3,  y=−23x=\sqrt{3},\ \ y=-2\sqrt{3}  

     x=1−23,  y=4+3x=1-2\sqrt{3},\ \ y=4+\sqrt{3}  

     x=4−3,  y=1+23x=4-\sqrt{3},\ \ y=1+2\sqrt{3}  

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