Algebra I. Lesson 6
Monomials and Polynomials (Grades 9-11)

Problems 6-1

  Answer Key

Problems  (click HERE for a printer-friendly version)

Directions: Complete the problems below. Consult the Answer Key below for answers once you finish. Review the Instruction material which relates to any questions you do not get correct.

Add or subtract the following polynomials:

  1. (5ax2 + 3a2x - 7a3) +
    (2ax2 - 8a2x + 4) _____
  1. (6x2y2 - 3xy - 7) -
    (5x2y2 + 2xy + 3) _____
  1. (4a + +5b - 6c + d) +
    (3a - 7b + 2c + 8d) +
    (2a - b + 7d) _____
  1. (11x + 6) + (16x + 12) _____
  1. (14x + 7) + (5x + 14) _____
  1. (10x2 + 12x + 9) +
    (11x2 + 15x + 10) _____
  1. (5x2 + 9x + 20) +
    (18x2 + 16x + 4) _____
  1. (18x2 - 19x - 20) +
    (18x2 - 10x + 17) +
    (15x2 - 6x + 18) _____
  1. (-8x2 + 5x + 18) +
    (-13x2 + 19x + 12) _____
  1. (20x4 - 13x - 15) +
    (5x7 - 10x4 + 15x3 - 8x2 - 19) _____
  1. (13x2 + 9x - 6) + (12x2 + 11x + 8) _____
  1. (4x2 + 5x + 15) -
    (12x2 + 15x + 12) _____
  1. (7x2 + 20x + 10) -
    (11x2 + 14x + 13) _____
  1. (-11x2 - 4x + 18) -
    (-13x2 + 17x + 20)  _____
  1. (-14x2 - 11x - 12) -
    (-16x2 + 12x - 20) _____
  1. (14x2 + 9x - 15) -
    (-19x2 + 10x - 19) _____
  1. (-5x2 - 5x + 17) -
    (6x2 - 9x + 9) _____
  1. (-7x7 - 11x6 - 5x5) -
    (11x2 + 20x + 4) _____

Answer Key (click HERE for a printer-friendly version) (top) 

  1. 7ax2 - 5a2x - 7a3 + 4
     
  2. x2y2 - 5xy - 10
     
  3. 9a - 3b - 4c + 16d
     
  4. 27x  + 18
     
  5. 19x + 21
     
  6. 21x2 +27x + 19
     
  7. 23x2 + 25x + 24
     
  8. 51x2 - 35x + 15
     
  9. -21x2 +24x + 30
     
  10. 5x7  + 10x4 + 15x3 - 8x2 - 13x - 34
     
  11. 25x2 + 20x + 2
     
  12. -8x2 - 10x + 3
     
  13. -4x2 + 6x - 3
     
  14. 2x2 -21x - 2
     
  15. 2x2 -23x +8
     
  16. 33x2 - x + 4
     
  17. -11x2 + 4x 8
     

  

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