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Mathematics

10th -

12thgrade

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Multiply and Divide Rational Expressions

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13 questions

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  • 1. Multiple Choice
    15 minutes
    1 pt

     x2+10x+24x2x20\frac{x^2+10x+24}{x^2-x-20}  Simplify.

    x+6x+4\frac{x+6}{x+4}

    (x+6)(x+4)\left(x+6\right)\left(x+4\right)

    x+6x+6

    x+6x5\frac{x+6}{x-5}

  • 2. Multiple Choice
    15 minutes
    1 pt

    Simplify x+9x281\frac{x+9}{x^2-81}  

    x9x+9\frac{x-9}{x+9}

    1x9\frac{1}{x-9}

    x+9x+9

    1x+9\frac{1}{x+9}

  • 3. Multiple Choice
    30 seconds
    1 pt

    Complete Step 1:  FACTOR
     x2 5x + 6x24(x +6)(x + 5)x2+2x 15\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}  

     (x  3)(x  2)(x + 2)(x  2)(x + 6)(x + 5)(x + 5)(x  3)\frac{\left(x\ -\ 3\right)\left(x\ -\ 2\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ +\ 5\right)\left(x\ -\ 3\right)}  

     (x + 6)(x  1)(x + 2)(x  2)(x + 6)(x + 5)(x 5)(x 3)\frac{\left(x\ +\ 6\right)\left(x\ -\ 1\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ -5\right)\left(x\ -3\right)}  

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