Download Helpful Links for Properties: Read through the properties above

Helpful Links
for Properties:
Hints for Remembering Properties:
http://regentsprep.org/Regents/math/ALGEBRA/AN1/properties.htm
Practice with Properties:
http://regentsprep.org/Regents/math/ALGEBRA/AN1/propPrac.htm
More Practice with Properties:
http://regentsprep.org/Regents/math/ALGEBRA/AN1/PropPracTami.htm
Read through the properties above. Then, describe – in your own, simple
words, what each property means.
The commutative property means that … ___________________________________________________
__________________________________________________________________________________________ .
The associative property means that … ___________________________________________________
__________________________________________________________________________________________ .
The identity property means that … ___________________________________________________
__________________________________________________________________________________________ .
The inverse property means that … ___________________________________________________
__________________________________________________________________________________________ .
The distributive property means that … ___________________________________________________
__________________________________________________________________________________________ .
The multiplicative property of zero means that … ____________________________________________
__________________________________________________________________________________________ .
Match the property with the letter of the best example .
_____ 1. Distributive Property
A. a + (b + c)= (a + b) + c
_____ 2. Commutative Property of Addition
B. 1 x 4 = 1
4
_____ 3. Additive Identity
C. a + 0 = a or 0 + a = a
_____ 4. Associative Property of Multiplication
D. a  0 = 0 or 0  a = 0
_____ 5. Multiplicative Inverse
E. a  (b  c) = (a  b)  c
_____ 6. Commutative Property of Multiplication
F. a + b = b + a
_____ 7. Associative Property of Addition
G. a  1 = 1 or 1  a = 1
_____ 8. Multiplicative Property of Zero
H. a (b + c) = ab + ac
_____ 9. Additive Inverse
I. a b= b  a
_____ 10. Multiplicative Identity
J. a + (-a) = 0 or –a + a = 0
Write the name of the property shown in each mathematical sentences.
6(3 + 2) = 6(3) + 6(2)
9 + (5 + 35) = (9 + 5) + 35
5 6
 =1
6 5
18  1 = 18
(4  8)  2 = 4  (8  2)
4
a+0=a
ab  ba
1
=1
4
98 + (-98) = 0
2 + (3 + 5) = (3 + 5) + 2
625 + 281 = 281 + 625
-9(x – 7) = -9 • x – (-9) • (-7)