Download Properties Worksheet

Name ____________________________________ Date ________________________ Period _______
Accelerated Algebra 1
Properties Review
List of Properties
(A) Identity Property of Addition
(G) Symmetric Property of (=)
(B) Identity Property of Multiplication
(H) Transitive Property of Equality
(C) Property of Reciprocals
(I) Reflexive Property of Equality
(D) Commutative Property
(J) Substitution Property of (=)
(E) Multiplicative Property of Zero
(K) Properties of Opposites in Products
(F) Distributive Property
(L) Associative Property
I. Name the property illustrated by each statement.
_________ 1. 3x  8  3x  3  8
_________ 2. 380  0
_________ 3. b  4  4  b
_________ 4. 1  25  25
_________ 5. w  4  6  w  10
_________ 6. 5  0  5
_________ 7. If 9  5  4 , then 5  4  9
_________ 8. 9  1  5  9  6
_________ 9. 56x  5  6x
_________ 10. 32  21  32  21
_________ 11. 54  7 y   57 y  4
_________ 12. 9w  4w  9  4w
_________ 13. 7 
1
1
7
_________ 14. Every real number is equal to itself
II. Simplify each expression, if possible. If not possible, write in simplest form.
15. 7  6xy  2m  2xy
16. 6a  b  3ab
17. 12w 2  3w 2
18. 7d  9c  c  14d
19. 6a  9a  3
20. 15w  14w 2  6w
21. 43x  y   78 y  4x
22. c 2  4d  d  c 2
23. 84  3x  25  6x