This document is an algebra worksheet reviewing concepts for a test, including: 1) Raising monomials to a power by multiplying the base by itself the number of times of the exponent. 2) Multiplying monomials and polynomials using the distributive property. 3) Adding and subtracting polynomials by combining like terms. 4) Multiplying binomials using the FOIL (First, Outer, Inner, Last) method.

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