Question

What is the correct reason for statement 2?


Prove: 4 + 3x + (x ∙ 2) = 5x + 4


Statements Reasons
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2.
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property









A.

Associative Property






B.

Commutative Property






C.

Multiplication






D.

Addition



@lightn1ng

Answer 1

kk

Answer 2

which property says the order of multiplication doesnt matter

x * y = y * x

Answer 3

@noahbred, can you tell me what each of the answers A-D mean?

Answer 4

going from step 1 to 2, they just changed x*2 to 2*x

Answer 5

multiplication because he multiplied whats in the brackets to simplify the equation. So the answer is C.

Answer 6

This is true ^ however they did not switch them. He just multiplied whats in the brackets.

Answer 7

they are always multiplied, x times 2, and then 2 times x

Answer 8

2x is 2 times x

Answer 9

change in the order of multiplication... like 5*3 = 3*5 for instance

Answer 10

@DanJS, I think you made a mistake in what you said before (or I just misunderstood!). Both addition and multiplication have associative and commutative properties:

Associative Multiplication: a*(b*c)=(a*b)*c
Commutative Multiplication: a*b=b*a

Associative Addition: a+(b+c)=(a+b)+c
Commutative Addition: a+b=b+a

Answer 11

commuinative , sorry just fixed it

Answer 12

communative -- -order of it
associative -- which pairs first

Answer 13

sorry

Answer 14

the other one shown had a

4*(2x) ---> (4*2)*x

both distributive and associative are choices, would distributive just remove the parenthesis, and that is really associative