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Add and subtract polynomials

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.APR.A.1 · England: GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    Simplify: (6x² + 4x − 6) + (6x² + 8x + 4)

    Answer

  2. Question 2

    Find the coefficient of x² in (−2x³ + 9x + 3) − (3x² − 5x − 2).

    Answer

  3. Question 3

    Simplify: (6x² − 6x + 5) − (−3x² − 6x − 2)

    Answer

  4. Question 4

    Simplify: (−6x² + 4x − 4) + (−6x² + 9x − 9)

    Answer

  5. Question 5

    Find the coefficient of x in (2x³ + 3x + 5) − (−2x² − 7x − 3).

    Answer

  6. Question 6

    Simplify: (−4x² + 6x − 2) − (−3x² + 8x + 5)

    Answer

  7. Question 7

    Simplify: (−6x² + 7x + 8) + (4x² − x + 9)

    Answer

  8. Question 8

    Find the coefficient of x in (−2x³ + 9x + 6) − (−5x² + 9x + 8).

    Answer

  9. Question 9

    Simplify: (−2x² + x + 3) − (−3x² − 9x − 5)

    Answer

  10. Question 10

    Simplify: (−3x² − 5x − 5) + (−3x² + 4x + 1)

    Answer

  11. Question 11

    Find the coefficient of x² in (−x³ + 8x − 1) − (−5x² − 2x − 9).

    Answer

  12. Question 12

    Simplify: (4x² + 6x + 4) − (x² + 5x − 7)

    Answer

  13. Question 13

    Simplify: (−x² + 7x + 8) + (−4x² + 7x)

    Answer

  14. Question 14

    Find the coefficient of x in (−x³ + 2x − 4) − (3x² + 4x − 9).

    Answer

  15. Question 15

    Simplify: (4x² − 6x + 9) − (5x² + 7x − 7)

    Answer

  16. Question 16

    Simplify: (−x² − 6x + 4) + (−2x² − 3x − 6)

    Answer

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Answer key: Add and subtract polynomials

  1. 1. 12x^2+12x-2

  2. 2. -3

  3. 3. 9x^2+7

  4. 4. -12x^2+13x-13

  5. 5. 10

  6. 6. -x^2-2x-7

  7. 7. -2x^2+6x+17

  8. 8. 0

  9. 9. x^2+10x+8

  10. 10. -6x^2-x-4

  11. 11. 5

  12. 12. 3x^2+x+11

  13. 13. -5x^2+14x+8

  14. 14. -2

  15. 15. -x^2-13x+16

  16. 16. -3x^2-9x-2