6. –9 – 6(w + 5)
A) –15w + 5
B) –15w + 30
C) –6w – 39
D) –6w + 21 <-------------------
7. 2x + 3(x – 2) – 3(x – 6)
A) 2x + 12
B) 2x – 8
C) 8x – 24
D) 2x – 24 <-----------------------
6. C
7. A
distribute first
then combine like terms
6. C
7. A
-6w - 30 - 9
= -6 w - 39
=========================
2 x + 3 x - 3 x = 2x
-6 + 18 = +12
so
2 x + 12
To solve these equations, we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's solve each equation step by step:
6. -9 - 6(w + 5)
First, distribute the -6 to (w + 5):
-9 - 6w - 30
Next, combine like terms by adding -9 and -30:
-39 - 6w
So, the answer is C) -6w - 39.
7. 2x + 3(x - 2) - 3(x - 6)
First, distribute the 3 to (x - 2) and (x - 6):
2x + 3x - 6 - 3x + 18
Next, combine like terms by adding 2x, 3x, and -3x:
5x - 6 + 18
Combine -6 and 18:
5x + 12
So, the answer is A) 5x + 12.