Simplify Algebraic Fractions

8 Questions | Total Attempts: 107
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Fraction Quizzes & Trivia

1. (x-5)/4 - (2x-3)/5= 1/20[5(x-5)-4(2x-3)]=1/20[5x-25-9x+12]= (-4x-13)/202. 5/(2x-1) + 2/(1-2x)= 5/(2x-1) - 2/(2x-1)= 3/(2x-1)3. 5/(2x-1) + 2/(1-2x) - 4/(x+5)= 3/(2x-1) - 4/(x+5)= [3(x+5) - 4(2x-1)] / [(2x-1)(x+5)]= [3x+15-8x+4] / [(2x-1)(x+5)]= (19-5x) / [(2x-1)(x+5)]

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Questions and Answers
  • 1. 
    Simplify (4x-3)/5 + (2x-5)/4 
    • A. 

      (26x-10)/20 = (13x-5)/10

    • B. 

      (26x-30)/20

    • C. 

      (26x-45)/20

    • D. 

      (6x-10)/9

  • 2. 
    Simplify (4x-3)/3 + (2x-5)/5 
    • A. 

      (26x-30)/15

    • B. 

      (26x-40)/15

    • C. 

      (14x-40)/15

    • D. 

      (22x-40)/8

  • 3. 
    Simplify (4x-3)/3 - (2x-5)/5 
    • A. 

      (14x-40)/15

    • B. 

      (26x-40)/15

    • C. 

      (26x-10)/15

    • D. 

      (14x-10)/15

  • 4. 
    Simplify 3/(4x-3) - 5/(2x-5) 
    • A. 

      (14x-10)/[(4x-3)(2x-5)]

    • B. 

      -10/[(4x-3)(2x-5)]

    • C. 

      (10-14x)/[(4x-3)(2x-5)]

    • D. 

      -14x/[(4x-3)(2x-5)]

  • 5. 
    Simplify 3/(4x-3) - 5/(3-4x) 
    • A. 

      2/(4x-3)

    • B. 

      8/(3-4x)

    • C. 

      8/(4x-3)

    • D. 

      2/(3-4x)

  • 6. 
    Simplify 3/(4x-3) + 5/(3-4x) 
    • A. 

      2/(4x-3)

    • B. 

      8/(3-4x)

    • C. 

      8/(4x-3)

    • D. 

      2/(3-4x)

  • 7. 
    Simplify 3/(4x-3) - 5/(3-4x) - 4/(x+5)
    • A. 

      (2-18x)/[(4x-3)(x+5)]

    • B. 

      (9x-1)/[(4x-3)(x+5)]

    • C. 

      (9x-1)/[(3-4x)(x+5)]

    • D. 

      2(1-9x)/[(3-4x)(x+5)]

  • 8. 
    Simplify 3/(5x-3) - 4/(3-5x) - 3/(2x+5)
    • A. 

      (x-38)/[(5x-3)(2x+5)]

    • B. 

      44-x/[(5x-3)(2x+5)]

    • C. 

      44-x/[(3-5x)(2x+5)]

    • D. 

      4(x-11)/[(3-5x)(2x+5)]

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