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LESSON
                                 NAME _________________________________________________________ DATE ___________

    10.7                         Practice A
                                 For use with pages 619–624



Factor out the greatest common monomial factor.
   1. 3x 2                                                     2. 2x 2                                           3. 4x 2
                   6x            3                                         8x           8                                            8x        4
   4. 3x 2                                                     5. 5x 2                                                    3x 2
                   12x           12                                        30x              45                                           18x        27
                                                                                                                 6.

Match the trinomial with a correct factorization.
  7. x 2                                                                                 2
              6x             9                                     A. 3 x           3
  8. x 2                                                                             2
              6x             9                                     B. x         3
  9. 2x 2                                                                            2
                12x              18                                C. x         3
 10. 3x 2          18x           27                                D. 2 x           3x           3
       2x 2        18                                              E. 3 x        3x              3
 11.
 12. 3x 2                                                                               2
                   27                                              F. 2 x        3

Factor the expression.
 13. x 2                                                      14. x 2                                           15. 4x 2
               25                                                         49                                                         9
               1
 16. x 2                                                      17. x 2     y2                                    18. 25x 2             16




                                                                                                                                                              Lesson 10.7
               4

       9x 2                                                               x2                                          200x 2
                   16                                         20. 16                                                                      18
 19.                                                                                                            21.

Factor the expression.
 22. x 2                                                      23. x 2                                           24. 4x 2
               10x               25                                       18x            81                                          4x        1
                         1
       x2                                                             2                 y2                            4x 2
               x                                              26. x       2xy                                                        28x           49
 25.                                                                                                            27.
                         4

                                                              29. 9x 2                       16y 2
 28. 25x 2                                                                                                      30. 20x 2
                                                                           24xy
                    20x              4                                                                                                   60x        45

Use factoring to solve the equation. Use a graphing calculator to
check your solution if you wish.
                                                                                                                                 4
                                                                                                                33. x 2
 31. 2x 2                                                     32. 3x 2                                                                    0
                   18            0                                         12x              12       0                           9

 34. 10x 2                                                    35. 7x 2                                          36. 4x 2
                    80x              160   0                               28            0                                           40x           100    0

 37. Washers       Washers are available in various sizes. Find an expression for
       the area of one flat side of a washer. Factor the expression. What is the
       area if x 5 centimeters and y 2 centimeters?



                             y


                             x




                                                                                                                       Algebra 1                         99
Copyright © McDougal Littell Inc.
All rights reserved.                                                                                     Chapter 10 Resource Book

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Algebra10.7 A

  • 1. LESSON NAME _________________________________________________________ DATE ___________ 10.7 Practice A For use with pages 619–624 Factor out the greatest common monomial factor. 1. 3x 2 2. 2x 2 3. 4x 2 6x 3 8x 8 8x 4 4. 3x 2 5. 5x 2 3x 2 12x 12 30x 45 18x 27 6. Match the trinomial with a correct factorization. 7. x 2 2 6x 9 A. 3 x 3 8. x 2 2 6x 9 B. x 3 9. 2x 2 2 12x 18 C. x 3 10. 3x 2 18x 27 D. 2 x 3x 3 2x 2 18 E. 3 x 3x 3 11. 12. 3x 2 2 27 F. 2 x 3 Factor the expression. 13. x 2 14. x 2 15. 4x 2 25 49 9 1 16. x 2 17. x 2 y2 18. 25x 2 16 Lesson 10.7 4 9x 2 x2 200x 2 16 20. 16 18 19. 21. Factor the expression. 22. x 2 23. x 2 24. 4x 2 10x 25 18x 81 4x 1 1 x2 2 y2 4x 2 x 26. x 2xy 28x 49 25. 27. 4 29. 9x 2 16y 2 28. 25x 2 30. 20x 2 24xy 20x 4 60x 45 Use factoring to solve the equation. Use a graphing calculator to check your solution if you wish. 4 33. x 2 31. 2x 2 32. 3x 2 0 18 0 12x 12 0 9 34. 10x 2 35. 7x 2 36. 4x 2 80x 160 0 28 0 40x 100 0 37. Washers Washers are available in various sizes. Find an expression for the area of one flat side of a washer. Factor the expression. What is the area if x 5 centimeters and y 2 centimeters? y x Algebra 1 99 Copyright © McDougal Littell Inc. All rights reserved. Chapter 10 Resource Book