1.2 The Commutative, Associative, and Distributive Laws
Ex 1 Use the Commutative Laws to write an equivalent expression:
𝑦+5
𝑥9
7 + 𝑎𝑏
Simplify:
1 + (2 + 3)
2 ∙ (3 ∙ 4)
1+2 +3
(2 ∙ 3) ∙ 4
Ex. 7 Compute in two ways: 4(7 + 2)
Ex. 8 Multiply:
3(𝑥 + 2)
Ex. 9 Multiply: 6(𝑠 + 2 + 5𝑤)
Ex. 10 Multiply:
𝑐+4 5
Ex. 11 Use the distributive law to factor each of the following:
a) 3𝑥 + 3𝑦
b) 7𝑥 + 21𝑦 + 7
2