Simplify Algebraic Fractions

8 Questions | Attempts: 110
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  • 1/8 Questions

    Simplify 3/(4x-3) - 5/(2x-5) 

    • (14x-10)/[(4x-3)(2x-5)]
    • -10/[(4x-3)(2x-5)]
    • (10-14x)/[(4x-3)(2x-5)]
    • -14x/[(4x-3)(2x-5)]
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About This Quiz

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

2.5/(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)]

Fractions Quizzes & Trivia

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  • 2. 

    Simplify (4x-3)/3 + (2x-5)/5 

    • (26x-30)/15

    • (26x-40)/15

    • (14x-40)/15

    • (22x-40)/8

    Correct Answer
    A. (26x-40)/15
  • 3. 

    Simplify 3/(5x-3) - 4/(3-5x) - 3/(2x+5)

    • (x-38)/[(5x-3)(2x+5)]

    • 44-x/[(5x-3)(2x+5)]

    • 44-x/[(3-5x)(2x+5)]

    • 4(x-11)/[(3-5x)(2x+5)]

    Correct Answer
    A. (x-38)/[(5x-3)(2x+5)]
  • 4. 

    Simplify (4x-3)/3 - (2x-5)/5 

    • (14x-40)/15

    • (26x-40)/15

    • (26x-10)/15

    • (14x-10)/15

    Correct Answer
    A. (14x-10)/15
  • 5. 

    Simplify 3/(4x-3) - 5/(3-4x) - 4/(x+5)

    • (2-18x)/[(4x-3)(x+5)]

    • (9x-1)/[(4x-3)(x+5)]

    • (9x-1)/[(3-4x)(x+5)]

    • 2(1-9x)/[(3-4x)(x+5)]

    Correct Answer
    A. (2-18x)/[(4x-3)(x+5)]
  • 6. 

    Simplify (4x-3)/5 + (2x-5)/4 

    • (26x-10)/20 = (13x-5)/10

    • (26x-30)/20

    • (26x-45)/20

    • (6x-10)/9

    Correct Answer
    A. (26x-45)/20
  • 7. 

    Simplify 3/(4x-3) + 5/(3-4x) 

    • 2/(4x-3)

    • 8/(3-4x)

    • 8/(4x-3)

    • 2/(3-4x)

    Correct Answer
    A. 2/(3-4x)
  • 8. 

    Simplify 3/(4x-3) - 5/(3-4x) 

    • 2/(4x-3)

    • 8/(3-4x)

    • 8/(4x-3)

    • 2/(3-4x)

    Correct Answer
    A. 8/(4x-3)

Quiz Review Timeline (Updated): Jan 4, 2013 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 04, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 13, 2009
    Quiz Created by
    Yonghs
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