1. (slo) simplify the expression: 6(b-7) a. 6b-7 b. 6b-42 c. b-42 d. 6b+42 2. (slo) use the distributive property to rewrite the expression: 3(4x+6y+2) a. 12x+6y+2 b. 12x+6y+6 c. 12x+18y+2 d. 12x+18y+6 3.(slo) use the distributive property to rewrite the expression without parentheses: -(6x+5y) a. -6x - 5y b. 6x - 5y c. -6x + 5y d. 6x - 5y

1 → B

multiply each term in the parenthesis by the 6 outside

6(b-7) = 6b - 42

2 → D

multiply each term in the parenthesis by the 3 outside

3(4x+6y+2) = 12x+18y+6

3 → A

the value outside the parenthesis is -1, hence each term inside is multiplied by -1

-1(6x+5y) = -6x -5y

1) 6(b - 7)

 = 6(b) - 6(7)

 = 6b - 42

B

2) 3(4x + 6y + 2)

= 3(4x) + 3(6y) + 3(2)

= 12x + 18y + 6

D

3) -(6x + 5y)

= -1(6x) - 1(5y)

= -6x - 5y

A

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

it's