Question

State the property that justifies each step.

13. Simplify: 6a +(8b+2a)
a. 6a +(8b+2a) = 6a+(2a+8b)
b. = (6a +2a) +8b
c. =(6+2)a +8b

Answer 1

a. Using the commutative property of addition:

6a + (8b + 2a) = 6a + (2a + 8b)

b. Using the associative property of addition:

6a + (2a + 8b) = (6a + 2a) + 8b

c. Using the distributive property of multiplication over addition:

(6a + 2a) + 8b = (6 + 2)a + 8b