Distributing with Addition
4(x - 2)
4x - 8
x + x + 4x
6x
f(a + b)
fa + fb
The property that represents p x 0 = 0.
Zero Property
3x + 2x + 4 + 6
5x + 10
m(a - b)
ma - mb
The property that represents a x 1 = a
The identity property.
2(a + 4 + b)
2a + 8 + 2b
7(x - y - 1)
7x - 7y - 7
3(y + 9) + 4y
3y + 27 + 4y
3y + 4y + 27
7y + 27
c(a + b + x)
ca + cb + cx
The property that states
a(b + c) = ab + ac
The distributive property.
2(4y + 8 + 2)
8y + 16 + 4
8y + 20
4(2 - x - z)
8 - 4x - 4z
9x + 2(x + 5)
9x + 2x + 10
11x + 10
w(a + x + y)
wa + wx + wy
The property that represents a + b = b + a
The commutative property.
4(1 + x + 7)
4 + 4x + 28
4 + 28 + 4x
32 + 4x
5(x - a - 5)
5x - 5a - 25
3(3 + y) + 7
9 + 3y + 7
9 + 7 + 3y
16 + 3y
a(b + c + d)
ab + ac + ad
The property that represents a+(b+c) = (a+b) + c
The associative property.