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Name _____________________________ Date __________________________ Algebra 1B Worksheet Review for TEST Unit 12 Form B 1. If we want to raise a monomial to a power our short cut would be to _________________________________________________________ Use the Short cut to simplify each expression. 2. (x

2)7 _______________

3. (y

-5)4 _______________

4. (abc2)

6 _______________

5. (3x

2)4 _______________

6. (-7x

5)2 _______________

7. (-4xy

6)3 _______________

8. (-2a5b2c-1)

4 ______________

9. To multiply a monomial times a polynomial we must use the ___________________ property. Multiply the monomial times the polynomial. 10. b2(2b4 + 4b2 + 3) ______________________ 11. -3(7a + 4b - 9c) ______________________ 12. 5(8a + 5b

2 - 4y + z) ______________________

13. 8a(5a - 6b) ____________________ 14. 7a

3(-4a

3 + a

2 + 5a + 1) ___________________________

15. -a

4(a

2 + 6a + 10) ____________________________

16. -2ax(6a

2 - ax - 3x

2) ______________________

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17. To add polynomials we should ___________________________________. Add the following polynomials: 18. (11a - 4b + 5c) + (6a + 4b + 11c) _______________________________ 19. (x

2 - x + 9) + (x

2 + 11x + 4) __________________________________

20. (-4ab - 10x) + (-8ab - 2x) _____________________________ 21. (z

3 - 4a) + (-z

3 + 4a) _________________________________

22. (-5a + 4b + 2) + (5a + 2) _____________________________________ 23. (8a

2 + ab - b

2) + (-8a

2 + ab + b

2) ______________________________

24. 3x

2 + 9xy - 12y

+ 5x2 - xy + 3y

_____________________

25. To subtract polynomials we should ___________________________________ ________________________________________________ Subtract the following polynomials: 26. (5ab + 11c) - (2ab + 7c) ___________________________________ 27. (9x + 2y) - (14x + y) ________________________________ 28. (8x + 12) - (8x + 12) ________________________________ 29. (-x

2 + 2x + 4) - (6x

2 - 7x + 1) _____________________________

30. (4y - 10) - (4y + 10) _____________________________ 31. If we are multiplying binomials then we must apply the ____________________ property twice.

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32. The abbreviation F.O.I.L. stands for ___________________________________ Multiply the following binomials: 33. (x + 10)(x + 5) 34. (x + 12)(x - 3) 33. ___________________ 34. ____________________ 35. (x + 5)(x + 1) 36. (a2 - 4)(a2 - 11) 35. ___________________ 36. _____________________ 37. (5y + 3)(y + 6) 38 (a + 8)(a - 5) 37. ____________________ 38. _____________________ 39. (3x + 4y)

2 40. (x - 6)(x + 6)

39. _____________________ 40. _____________________ 41. (2a + 5b2)(2a - 5b2) 42. (z - 4)

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41. _____________________ 42. _______________________