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1) Identify the property used for each step below :
xy + y(9 + 2x) + y(5x – 7 + 0)
a) xy + y(9) + y(2x) + y(5x) – y(7) + y(0) a) _________________________________________
b) xy + 9y + y(2x) + y(5x) – 7y + y(0)
b) _________________________________________
c) xy + 9y + (2x)y + (5x)y – 7y + y(0)
c) _________________________________________
d) xy + 9y + 2xy + 5xy – 7y + y(0)
d) _________________________________________
e) xy + 9y + 2xy + 5xy – 7y + 0
e) _________________________________________
f) xy + 9y + 2xy + 5xy – 7y
f) _________________________________________
g) xy + 2xy + 5xy + 9y – 7y
g) _________________________________________
h)
1xy + 2xy + 5xy + 9y – 7y
h) __________________________________________
i)
xy(1 + 2 + 5) + 9y – 7y
i) __________________________________________
j) xy(1 + 2 + 5) + y(9 – 7)
j) _________________________________________
k)
k) _Addition_________________________________
xy(8) + y(2)
l) 8xy + 2y
l) _________________________________________
Rewrite each of these using the indicated property
1) 3(x + 2)
Commutative Property of addition : _______________________________
2) 3(x + 2)
Commutative Property of multiplication: _______________________________
3) 4xy + 2x + 7
Associative Property of addition :_________________________________
4) 4xy + 2x + 7
Associative Property of multiplication : ______________________________
5) x – 8
Identity Property of addition : _______________________________
6) x – 8
Identity Property of multiplication : ________________________________
7) 3x(5 – 4x)
Distributive Property of multiplication over subtraction: _____________________
8) 7x(0) + 5
Multiplication Property of zero: ____________________________
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