Question

The steps in the simplification of the expression 46 + 7x + 4y −2x – y − 27 are shown below.

Step 1: 46 – 27 + 7x − 2x + 4y − y
Step 2: (46 − 27) + (7x − 2x) + (4y − y)
Step 3: 19 + x (7 − 2) + y (4 − 1)
Step 4: 19 + x (5) + y (3)
Step 5: 19 + 5x + 3y

Which statement is correct?

Answer 1

Please help. :l I'm lost.

Answer 2

Step 1 uses commutative property of addition, and step 5 uses commutative property of multiplication.

Step 4 uses associative property of multiplication, and step 3 uses simplification.

Step 2 uses associative property of addition, and step 5 uses simplification.

Step 1 uses distributive property of addition, and step 3 uses distributive property of multiplication

Answer 3

are you familiar with terms like commutative property of addition or associative property of addition?

Answer 4

yes. But I can't figure this out. I even looked it up.

Answer 5

commutative property of addition: you can add in any order, so x+y = y+x or 1+2 = 2+1


associative property of multiplication: you can rearrange the parenthesis when multiplying example: 2*(3*4) = (2*3)*4


associative property of addition: you can rearrange the parenthesis when adding example: 2+(3+4) = (2+3)+4

Answer 6

going from

46 + 7x + 4y −2x – y − 27

to

46 – 27 + 7x − 2x + 4y − y

what happened?

Answer 7

It would be commutative then?

Answer 8

yes because we're swapping the terms (since you can add those terms in any order)