Question

Need some help please....

Answer 1

Given: 2x + 4 = 1 – 2x – 5
Prove: x = –2

Given the equation 2x + 4 = 1 – 2x – 5, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 2x + 4 = 1 – 5 – 2x. Then, use the associative property of addition to group the like terms. This gives the equation 2x + 4 = (1 – 5) – 2x. Next, combine like terms to get the equation 2x + 4 = –4 – 2x. Use the ___________________ to add 2x to both sides of the equation. This gives the equation 4x + 4 = –4. Then use the subtraction property of equality to subtract 4 from both sides of the equation. This gives the equation 4x = –8. Finally, use the division property of equality to divide both sides of the equation by 4 to give a final solution of x = –2. Therefore, given 2x + 4 = 1 – 2x – 5, x is equal to –2.

Which justification was left out of the paragraph proof above?
Answer
Associative Property of Addition
Subtraction Property of Equality
Addition Property of Equality
Commutative Property of Subtraction

Answer 2

http://www.capitan.k12.nm.us/teachers/shearerk/basic_rules_of_algebra.htm

Answer 3

I still don't get it

Answer 4

neither do I, frankly
I forget the names of these properties all the time
but you should have a list somewhere. use it to try to identify the rule being used here.

Answer 5

looks like it should be "Addition Property of Equality"

Answer 6

something like:

if a = b

then a + c = b + c

Answer 7

thanks