Question

Name the property that justifies each statement.11 x-1= x12. (x+3)+y=x+(3+y)19.13. 4.x.-4x₁=1, x ±014. (x+3)+0= x+315. 2x+7=7+2x16. 6(3x+4)=18x + 2417. 8x+(-8x) = 018 9(12x) = (9.12).xxy = yxChoices for 11-19A Commutative property of additionB)C) Associative property of additionD) Associative property of multiplicationAdditive identity propertyE)AB)Multiplicative identity propertyAC) Additive inverse propertyAD) Multiplicative inverse propertyAE)Distributive propertyCommutative property of multiplication

Answer 1

11) the multiplicative identity

12) Associative property

13) multiplicative inverse property.

14) additive identity property.

15) commutative property of addition.

16) distributive property

17) Additive inverse property.

Step-by-step explanation

11) Given;

`x\cdot1=x`

This obeys the multiplicative identity

12) Given

`(x+3)+y=x+(3+y)`

This obeys associative property.

13) Given;

`4x\cdot(1)/(4x)=1,`

This obeys the multiplicative inverse property.

14) Given;

`\begin{gathered} (x+3)+0=x+3 \\ \end{gathered}`

This obeys the additive identity property.

15) Given;

`2x+7=7+2x`

This obeys the commutative property of addition.

16) Given;

`6(3x+4)=18x+24`

This obeys the distributive property

17)