Question

simplify: $6(a + b) - 4a$

a. $10a + 2b$
b. $-2a + 6b$
c. $2a + 6b$
d. $2b - 2a$

simplify: $-1.5(2m - 4) + 0.5(6m + 2)$

a. 5
b. 4
c. 6
d. 7

Explanation:

Step1: Expand the term

$6(a + b) - 4a = 6a + 6b - 4a$

Step2: Combine like terms

$6a - 4a + 6b = 2a + 6b$

Step1: Expand each term

$-1.5(2m - 4) + 0.5(6m + 2) = -3m + 6 + 3m + 1$

Step2: Combine like terms

$(-3m + 3m) + (6 + 1) = 7$

Answer:

c. 2a + 6b
d. 7