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Algebraic Properties
Commutative, Associative, and Distributive
33
Mathematics
9th Grade
01/28/2007
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Term
Commutative Property
a + b = b + a

4 + 2x = ?
 Definition
2x + 4
Term
Commutative Property
a + b = b + a

3x + 2y = ?
 Definition
2y + 3x
Term
Commutative Property
a + b = b + a

3y + 2xy = ?
 Definition
2xy + 3y
Term
Commutative Property
a + b = b + a

4xyz + 2xy = ?
 Definition
2xy + 4xyz
Term
Commutative Property
a + b = b + a

32x + 32x²
 Definition
32x² + 32x
Term
Commutative Property
a + b = b + a

3xyz + 12xy = ?
 Definition
12xy + 3xyz
Term
Commutative Property
a + b = b + a

4 + y = ?
 Definition
y + 4
Term
Commutative Property
a + b = b + a

2ab + 3bc = ?
 Definition
3bc + 2ab
Term
Commutative Property
a + b = b + a

23abdc + 11bdce = ?
 Definition
11bdce + 23abdc
Term
Commutative Property
a + b = b + a

82/x + 34/y = ?
 Definition
34/y + 82/x
Term
Commutative Property
a + b = b + a

12x/y + 8a/b = ?
 Definition
8a/b + 12x/y
Term
Commutative Property
a*b = b*a

3*4 = ?
 Definition
4*3
Term
Commutative Property
a*b = b*a

3*x = ?
 Definition
x*3
Term
Commutative Property
a*b = b*a

(17x)(15y) = ?
 Definition
(15y)(17x)
Term
Commutative Property
a*b = b*a

(13y)(x) = ?
 Definition
(x)(13y)
Term
Commutative Property
a*b = b*a

(32x)(42y) = ?
 Definition
(42y)(32x)
Term
Commutative Property
a*b = b*a

(-4a)(-b) = ?
 Definition
(-b)(-4a)
Term
Commutative Property
a*b = b*a

(-7)(-y) = ?
 Definition
(-y)(-7)
Term
Commutative Property
a*b = b*a

13*(-x) = ?
 Definition
(-x)*13
Term
Commutative Property
a*b = b*a

(3/4)*(4/x) = ?
 Definition
(4/x)(3/4)
Term
Commutative Property
a*b = b*a

(x/y)*(y/x) = ?
 Definition
(y/x)*(x/y)
Term
Associative Property
a + (b + c) = (a + b) + c

3 + (4 + x) = ?
 Definition
(3 + 4) + x
Term
Associative Property
a + (b + c) = (a + b) + c

(8 + x) + y = ?
 Definition
8 + (x + y)
Term
Associative Property
a + (b + c) = (a + b) + c

4x + (3x + y) = ?
 Definition
(4x + 3x) + y
Term
Associative Property
a + (b + c) = (a + b) + c

(33x + y) + 4y = ?
 Definition
33x + (y + 4y)
Term
Associative Property
a + (b + c) = (a + b) + c

(3x² + y²) + 2y² = ?
 Definition
3x² + (y² + 2y²)
Term
Associative Property
a + (b + c) = (a + b) + c

(x + 21) - 21 = ?
 Definition
x + (21 - 21)
Term
Associative Property
a + (b + c) = (a + b) + c

(x² + z²) + 4z² = ?
 Definition
x² + (z² + 4z²)
Term
Associative Property
a + (b + c) = (a + b) + c

(-x + -3) + -2 = ?
 Definition
-x + (-3 + -2)
Term
Associative Property
a + (b + c) = (a + b) + c

x + (-x + 7y) = ?
 Definition
(x + -x) + 7y
Term
Associative Property
a*(b*c) = (a*b)*c

x*(y*z) = ?
 Definition
(x*y)*z
Term
Associative Property
a*(b*c) = (a*b)*c

2*(4*x) = ?
 Definition
(2*4)*x
Term
Associative Property
a*(b*c) = (a*b)*c

x*(x*z) = ?
 Definition
(x*x)*z
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