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Mathematics

9th -

12thgrade

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Adding and Subtracting Rational Expressions

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10 questions

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  • 1. Multiple Choice
    30 seconds
    1 pt

    Subtract
     x53x+43x53x+4\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}  

     2x103x+4; x43\frac{-2x-10}{3x+4};\ x\ne-\frac{4}{3}  

     2x3c+4; x43\frac{-2x}{3c+4};\ x\ne-\frac{4}{3}  

     2x; x0-2x;\ x\ne0  

     2x10; x0-2x-10;\ x\ne0  

  • 2. Multiple Choice
    30 seconds
    1 pt

    Add
     3x2x+2+2x4x1\frac{3x-2}{x+2}+\frac{2x}{4x-1}  

     14x27x+2(x+2)(4x1); x2, 14\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}  

     14x29x2(x+2)(4x1); x2, 1\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ 1  

     12x27x+2(x+2)(4x1); x2, 14\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}  

     14x27x+2(x+2)(4x1); x14, 2\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-\frac{1}{4},\ 2  

  • 3. Multiple Choice
    30 seconds
    1 pt

    Subtract
     x2x+32x+12x3\frac{x}{2x+3}-\frac{2x+1}{2x-3}  

     2x211x3(2x3)(2x+3); x±23\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}  

     2x211x3(2x3)(2x+3); x±32\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}  

     2x2+5x+3(2x3)(2x+3); x±32\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}  

     2x2+5x+3(2x3)(2x+3); x±23\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}  

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