What property justifies that 6x+9/3 =2x + 3? (it isn't like 6x plus the fraction 9/3, it's like the expression 6x + 9 divided by 3.)
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Distributive Property
D. Addition of Like Terms
6x+9/3 =2x + 3
we write what you mean as:
(6x+9) / 3 =2x + 3
that is
(1/3)(6x+9)
NOW you see that is distributive
(1/3)(6x) + (1/3)(9)
https://www.smartickmethod.com/blog/math/operations-and-algebraic-thinking/mutiplication/distributive-property-of-multiplication/
Thank you! Can you help me with another one?
You are welcome.
That depends if it is too complicated for me :)
I'll paste it, you don't have to do it if you can't and thank you again!
Which expressions are equivalent? Select two answers.
A. 1/5 x − 10 and 1/5 (x − 50)
B. 1/3 x − 6 and −1/3 (3x + 18)
C. 1/2 x + 8 and 1/2 (x + 16)
D. 1/8 x + 1 and 1/8 (8x + 8)
E. −1/4 x + 2 and −1/4 (x + 2)
I was told to use distributive property but I have always been horrible remembering how to do it so I can't really answer this one, haha.
1/5 (x − 50) = (1/5) x - 10 yes
−1/3 (3x + 18) = -x - 6 so NO
C. easy, yes
D 1/8 (8x) = 1x NOT (1/8) x
E. 1/4 (2) = 1/2 NOT 2