Back to the lesson and practice
ActivityPractice worksheetColor by numberRiddle puzzleFlashcards
Do it🖨️ On paper✏️ On screen
New copyMake a new one

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Algebraic fractions

10th grade (Year 11 in England) · 16 questions · Common Core: HSA.APR.D.6, HSA.APR.D.7 · England: GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Write as a single fraction: 1/(x + 5) + 3/(x + 1). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  2. Question 2

    Simplify: (x² − 8x + 7) / (x − 1)

    • A. x − 1
    • B. x + 7
    • C. x − 7
    • D. x − 8

  3. Question 3

    Write as a single fraction: 5/(x + 3) + 3/(x + 2). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  4. Question 4

    Simplify: (x² + 12x + 35) / (x + 5)

    • A. x + 12
    • B. x + 35
    • C. x − 7
    • D. x + 7

  5. Question 5

    Write as a single fraction: 4/(x + 4) + 5/(x + 6). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  6. Question 6

    Simplify: (x² + 6x + 8) / (x + 4)

    • A. x − 2
    • B. x + 2
    • C. x + 6
    • D. x + 4

  7. Question 7

    Write as a single fraction: 1/(x + 3) + 5/(x + 2). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  8. Question 8

    Simplify: (x² − 1) / (x + 1)

    • A. x − 1
    • B. x + 1
    • C. x

  9. Question 9

    Write as a single fraction: 5/(x + 4) + 1/(x + 3). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  10. Question 10

    Simplify: (x² − 5x − 6) / (x + 1)

    • A. x − 5
    • B. x + 1
    • C. x − 6
    • D. x + 6

  11. Question 11

    Write as a single fraction: 4/(x + 5) + 2/(x + 6). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  12. Question 12

    Simplify: (x² − 5x − 6) / (x − 6)

    • A. x − 6
    • B. x + 1
    • C. x − 5
    • D. x − 1

  13. Question 13

    Write as a single fraction: 1/(x + 1) + 3/(x + 5). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  14. Question 14

    Simplify: (x² − 3x − 4) / (x − 4)

    • A. x − 1
    • B. x − 3
    • C. x − 4
    • D. x + 1

  15. Question 15

    Write as a single fraction: 5/(x + 2) + 2/(x + 1). Type the numerator over the factorised denominator, e.g. (3x+5)/((x+1)(x+2)).

    Answer

  16. Question 16

    Simplify: (x² + 4x − 12) / (x + 6)

    • A. x + 6
    • B. x − 2
    • C. x − 12
    • D. x + 2

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. (4x+16)/((x+5)(x+1))
  2. x − 7
  3. (8x+19)/((x+3)(x+2))
  4. x + 7
  5. (9x+44)/((x+4)(x+6))
  6. x + 2
  7. (6x+17)/((x+3)(x+2))
  8. x − 1
  9. (6x+19)/((x+4)(x+3))
  10. x − 6
  11. (6x+34)/((x+5)(x+6))
  12. x + 1
  13. (4x+8)/((x+1)(x+5))
  14. x + 1
  15. (7x+9)/((x+2)(x+1))
  16. x − 2