Polynomials, binomials raised to power, FOIL

1. 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 7
2. (x ) _______________
-5 4
3. (y ) _______________
6
4. (abc2) _______________
2 4
5. (3x ) _______________
5 2
6. (-7x ) _______________
6 3
7. (-4xy ) _______________
4
8. (-2a5b2c-1) ______________
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) ______________________
2
12. 5(8a + 5b - 4y + z) ______________________
13. 8a(5a - 6b) ____________________
3 3 2
14. 7a (-4a + a + 5a + 1) ___________________________
4 2
15. -a (a + 6a + 10) ____________________________
2 2
16. -2ax(6a - ax - 3x ) ______________________
1

2. 17. To add polynomials we should ___________________________________.
Add the following polynomials:
18. (11a - 4b + 5c) + (6a + 4b + 11c) _______________________________
2 2
19. (x - x + 9) + (x + 11x + 4) __________________________________
20. (-4ab - 10x) + (-8ab - 2x) _____________________________
3 3
21. (z - 4a) + (-z + 4a) _________________________________
22. (-5a + 4b + 2) + (5a + 2) _____________________________________
2 2 2 2
23. (8a + ab - b ) + (-8a + ab + b ) ______________________________
2
24. 3x + 9xy - 12y
2
+ 5x - 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) ________________________________
2 2
29. (-x + 2x + 4) - (6x - 7x + 1) _____________________________
30. (4y - 10) - (4y + 10) _____________________________
31. If we are multiplying binomials then we must apply the ____________________ property
twice.
2

3. 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. _____________________
2
39. (3x + 4y) 40. (x - 6)(x + 6)
39. _____________________ 40. _____________________
2
41. (2a + 5b2)(2a - 5b2) 42. (z - 4)
41. _____________________ 42. _______________________
3