Question

Jordan wrote the following steps to simplify the expression: 5x – (3x + 2 + 4x).

Step


Mathematical Statement


Justification

0


5x – (3x + 2 + 4x)


Given

1


5x – (3x + 4x + 2)


Associative Property of Addition

2


5x – (7x + 2)


Combine Like Terms

3


5x – 7x – 2


Distributive Property

4


(5x – 7x) – 2


Associative Property of Addition

5


–2x – 2


Combine Like Terms

Which step of justification is incorrect, and what should the justification for that step be to simplify the expression?
Answer

Answer 1

Step 1; Commutative Property of Addition

Step 2; Associative Property of Addition

Step 3; Associative Property of Multiplication

Step 4; Commutative Property of Multiplication

Answer 2

3 distributive property

Answer 3

not sure about 2 ... i think that would be operation between two elements

Answer 4

the steps i commented are my answer options the graph when i posted my question is confusing maybe i should type them out hold on

Answer 5

5x – (3x + 4x + 2) -Associative Property of Addition
5x – (7x + 2) - Combine Like Terms
5x – 7x – 2 - Distributive Property
(5x – 7x) – 2 - Associative Property of Addition

which of the above justifications is incorrect for the equation and what should it be?

answers;
Step 1; Commutative Property of Addition
Step 2; Associative Property of Addition
Step 3; Associative Property of Multiplication
Step 4; Commutative Property of Multiplication

Answer 6

5x – (7x + 2) - Combine Like Terms

it seems like operation between two elements in a group, i don't think there is justification like (combine like terms) ...it's an operation, addition operation to be precise

Answer 7

and also
Step 3; Associative Property of Multiplication ==> doesn't seem like associative at all

it tells ax(bxc) = (axb)xc ... how could step 3 be associative property of multiplication, it seems rather like distributive property under addition

Answer 8

im not sure this lesson was on proofs and it kinda confused me D=

Answer 9

algebra is quite headache than the rest. simple yet hard to grasp