1. Identify and label each of the mathematical properties below. (Commutative, Associative, Identity, or Distributive)
a + b = b + a (a • b) • c = a • (b • c)
(a + b) + c = a + (b + c) a • b = b • a
n + 0 = n n × 1 = n
c(a + b) = ca +cb n ÷ 1 = n
n − 0 = n
2. Simplify each of the expressions below using any combination of the properties above and combining
like terms.
3x + 5 + 6x ‐ 2(2 + 6x)
5(3x + 3) 3x + 5 − 6x + 16
x2
y + 2xy2
+ 3x2
y − 6xy2
+ 4 ‐ 2(2 + 6x) − 5(3x + 3)
8(‐14w + 10) ‐19(10 + 4q) − 13q
4n ‐ 3( ‐9n + 13) ‐19 ‐ 7( ‐17z + 13)