Question

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

Answer 1

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

Answer 2

1) 6(b - 7)

= 6(b) - 6(7)

= 6b - 42

Answer: B

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

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

= 12x + 18y + 6

Answer: D

3) -(6x + 5y)

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

= -6x - 5y

Answer: A