Polynomials 20 Questions and Answers

Test‐ “Polynomials” Algebra 1 Show your Work 1. Write the polynomial -7 + 52 + 17 in descending order of the exponents. 17 9 2. Evaluate 4 3—4 Simplify. 3. 9 12 4. 7 9 9 + 52 2 when 3 - 13x - 13x - 7 = 1/3 5 4 3 5 1. _______ 8 2. _______ 14 3. _______ 9 4. _______ 5—8 Multiply and simplify. 5. 8 3 7 8 5. ______ 6. (x + 7)(x - 9) 6. ______ 7. 3 2 8. 2 5 4 7 ______ 6 3 8. _______ 9-10. Factor by finding the GCF. 9. 18 27 9. _______ 15 10.10 30 10. ______ 11-15. Factor each tririomial. 11. 15 14 11. _____ (x + 1)(x + 14) 12. 4 12 12. _____ (x - 2)(x + 6) 13. 12 45 13. _____ (x + 3)(x - 15) 14. 6 72 14. _____ ( 15. 5 - 12)( + 6) + 38x - 16 15. _____ (5x - 2)(x + 8) 16—18. Factor these “Special Case” Polynomials. 16. 9 + 12x + 4 16.______ (3x + 2)(3x + 2) 17. - 144 17. ______ (x + 12)(x - 12) 18. x - 64 18. ______ (x - 8)(x + 8) 19. Find the perimeter. 19. ______ 3x‐2 3x+2 12x 20. Find the area of the shaded region. 20. ______ X+11 x x X+11 22x + 121 Test‐ “Polynomials” Algebra 1 Name: _____KEY______ Show your Work 1. Write the polynomial -7 + 52 + 17 in descending order of the exponents. (a) 52 (c) 17 17 13 + 52 - 13x - 7 2. Evaluate 4 7 9 - 13x (b) 7 — 13 (d) not listed 2 when (b) 2 (c) 10 (d) not listed 3 (a) 9 (c) 10 17 3 4. 7 9 9 (a) 4 (c) 4 29 4 41 23 52 5 2. ___A____ 14 3. ___D____ (b) 10 17 (d) not listed 4 3 5 17 = 1/3 (a) 4 3—4 Simplify. 12 3. 9 1. __C_____ 8 17 9 (b) 28 4 (d) not listed 4. ___A____ 23 5—8 Multiply and simplify. 5. 8 3 7 8 (a) 11 (c) 24 15 56 16 64 5. ___D___ (b) 24 56 (d) not listed 6. (x + 7)(x - 9) (a) (c) 63 2 63 64 6. ___C___ (b) 2 63 (d) not listed 7. 3 2 (a) 9 (c) 9 4 12 8. 2 5 4 (a) 8 (c) 8 8 32 7 ___C___ (b)9 4 (d) not listed 4 6 36 36 4 3 8. ____A___ 15 15 (b) 8 32 (d) not listed 24 15 9-10. Factor by finding the GCF. 9. 18 27 (a) 9 2 (c) 9 2 9. ___C____ 3 (b) 9 2 3 (d) not listed 3 10.10 15 (a) 5 2 (c) 5 3 2 30 6 3 6 10. ___D___ (b)15 (d) not listed 11-15. Factor each tririomial. 11. 15 14 (a) (x + 2)(x + 7) (c) (x + 1)(x + 15) 11. __B___ (b) (x + 1)(x + 14) (d) not listed 12. 4 12 (a) (x + 2)(x +6) (c) (x + 2)(x - 6) 13. (b) (x - 2)(x + 6) (d) not listed 12 45 (a) (x - 9)(x - 5) (c) (x - 3)(x + 15) 14. 6 72 (a) ( (c) ( - 12)( - 18)( + 6) + 4) 15. 5 12. __B___ 13. __B___ (b) (x + 3)(x - 15) (d) not listed 14. ___A__ (b) ( - 12x)( (d) not listed + 6x) + 38x - 16 (a) (5x - 8)(x + 2) (c) (5x - 1)(x + 16) 15. ___B__ (b) (5x - 2)(x + 8) (d) not listed 16—18. Factor these “Special Case” Polynomials. 16. 9 + 12x + 4 (a) (3x + 4)(3x + 4) (c) (9x + 2)(x + 2) 17. 16.____B__ (b) (3x + 2)(3x + 2) (d) not listed - 144 (a) (x + 12)(x - 12) (c) ( - 12) 17. ___A___ (b) (x - 12)(x - 12) (d) not listed 18. x - 64 18. ___A___ (b) 2(x - 32) (d) not listed (a) (x - 8)(x + 8) (c) 2(x - 4)(x + 4) 19. Find the perimeter. 19. ___A___ 3x‐2 3x+2 (b) 12x (b) 6x (b) 9x (d) 12x - 8 20. Find the area of the shaded region. (a) x + 121 (c) 22x + 121 20. ___C___ (b) 121 (d) 2x + 22x + 121 X+11 x x X+11 Test‐ “Polynomials” Algebra 1 Show your Work 1. Write the polynomial -7 + 52 + 17 in descending order of the exponents. 9 2. Evaluate 4 3—4 Simplify. 3. 9 12 4. 7 9 2 when 3 9 - 13x 1. _______ = 1/3 2. _______ 5 4 3 5 8 14 3. _______ 9 4. _______ 5—8 Multiply and simplify. 5. 8 3 7 8 5. ______ 6. (x + 7)(x - 9) 6. ______ 7. 3 2 8. 2 5 4 7 ______ 6 3 8. _______ 9-10. Factor by finding the GCF. 9. 18 27 9. _______ 15 10.10 30 10. ______ 11-15. Factor each tririomial. 11. 15 14 11. _____ 12. 4 13. 12 45 13. _____ 14. 6 72 14. _____ 15. 5 12 + 38x - 16 12. _____ 15. _____ 16—18. Factor these “Special Case” Polynomials. 16. 9 17. + 12x + 4 - 144 16.______ 17. ______ 18. x - 64 18. ______ 19. Find the perimeter. 19. ______ 3x‐2 3x+2 20. Find the area of the shaded region. 20. ______ X+11 x x X+11 Test‐ “Polynomials” Algebra 1 Name: __________________ Show your Work 1. Write the polynomial -7 + 52 + 17 in descending order of the exponents. (a) 52 (c) 17 17 13 + 52 - 13x - 7 2. Evaluate 4 7 9 - 13x (b) 7 — 13 (d) not listed 2 when (b) 2 (c) 10 (d) not listed 3 (a) 9 (c) 10 17 3 4. 7 9 9 (a) 4 (c) 4 29 4 41 23 52 5 2. _______ 14 3. _______ (b) 10 17 (d) not listed 4 3 5 17 = 1/3 (a) 4 3—4 Simplify. 12 3. 9 1. _______ 8 17 9 (b) 28 4 (d) not listed 4. _______ 23 5—8 Multiply and simplify. 5. 8 3 7 8 (a) 11 (c) 24 15 56 16 64 5. ______ (b) 24 56 (d) not listed 6. (x + 7)(x - 9) (a) (c) 63 2 63 64 6. ______ (b) 2 63 (d) not listed 7. 3 2 (a) 9 (c) 9 4 12 8. 2 5 4 (a) 8 (c) 8 8 32 7 ______ (b)9 4 (d) not listed 4 6 36 36 4 3 8. _______ 15 15 (b) 8 32 (d) not listed 24 15 9-10. Factor by finding the GCF. 9. 18 27 (a) 9 2 (c) 9 2 9. _______ 3 (b) 9 2 3 (d) not listed 3 10.10 15 (a) 5 2 (c) 5 3 2 30 6 3 6 10. ______ (b)15 (d) not listed 11-15. Factor each tririomial. 11. 15 14 (a) (x + 2)(x + 7) (c) (x + 1)(x + 15) 11. _____ (b) (x + 1)(x + 14) (d) not listed 12. 4 12 (a) (x + 2)(x +6) (c) (x + 2)(x - 6) 13. (b) (x - 2)(x + 6) (d) not listed 12 45 (a) (x - 9)(x - 5) (c) (x - 3)(x + 15) 14. 6 72 (a) ( (c) ( - 12)( - 18)( + 6) + 4) 15. 5 12. _____ 13. _____ (b) (x + 3)(x - 15) (d) not listed 14. _____ (b) ( - 12x)( (d) not listed + 6x) + 38x - 16 (a) (5x - 8)(x + 2) (c) (5x - 1)(x + 16) 15. _____ (b) (5x - 2)(x + 8) (d) not listed 16—18. Factor these “Special Case” Polynomials. 16. 9 + 12x + 4 (a) (3x + 4)(3x + 4) (c) (9x + 2)(x + 2) 17. 16.______ (b) (3x + 2)(3x + 2) (d) not listed - 144 (a) (x + 12)(x - 12) (c) ( - 12) 17. ______ (b) (x - 12)(x - 12) (d) not listed 18. x - 64 18. ______ (b) 2(x - 32) (d) not listed (a) (x - 8)(x + 8) (c) 2(x - 4)(x + 4) 19. Find the perimeter. 19. ______ 3x‐2 3x+2 (a) 12x (b) 6x (b) 9x (d) 12x - 8 20. Find the area of the shaded region. (a) x + 121 (c) 22x + 121 20. ______ (b) 121 (d) 2x + 22x + 121 X+11 x x X+11