Question

Which of the following properties is not used to simplify the expression in the steps below?

y plus 5 times x minus 5 times the quantity x minus y
y plus 5 times x minus 5 times x plus 5 times y
y plus zero times x plus 5 times y
y plus zero plus 5 times y
zero plus y plus 5 times y
zero plus 1 times y plus 5 times y
zero plus 6 times y
6 times y

Commutative Property of Addition

Zero Property of Multiplication

Identity Property of Addition

Associative Property of Multiplication

Answer 1

y+5x-5(x-y)
=
y+5x-5x+5y
=
y+0x+5y
=
y+0+5y
=
0+y+5y
=
0+1y+5y
=
0+6y
=
6y
First of all it helps to write using math symbols!
Is it pretty like this on your paper or it actually written out in words?

Answer 2

SO IS IT Commutative Property of Addition, Zero Property of Multiplication, Identity Property of Addition ,Associative Property of Multiplication

Answer 3

y+5x-5(x-y)
=
y+5x-5x+5y <---Distributive property was used!
=
y+0x+5y <---Which is this one that says 5x-5x=0?
=
y+0+5y <---And then this one 0*x=0?
=
0+y+5y <---They changed order a+b=b+a, which is this?
=
0+1y+5y <--- y=1y another property was used.
=
0+6y <---Combined like terms
=
6y <---One more property was used 0+6y=6y, which was it?

Answer 4

a+b=b+a which property is this?

Answer 5

\[\psi\]

Answer 6

Ok a+b=b+a is the commutative property of addition

Answer 7

The order changes and its addition then the commutative property was used

Answer 8

Do you know what the associative property of addition is?