Question

Liliana wants to write an equivalent expression for n + 3 minus 5 n + 6. Which of her attempts uses the algebraic properties correctly?

Commutative property: n minus 5 n + 3 + 6. Associative property: (1 n minus 5 n) + (3 + Distributive property: (1 minus 5) n + (3 + 6). Addition property: negative 4 n + 9.

Associative property: n minus 5 n + 3 + 6. Commutative property: (1 n minus 5 n) + (3 + 6). Distributive property: (1 minus 5) n + (3 + 6). Addition property: negative 4 n + 9.

Addition property: n minus 5 n + 3 + 6. Associative property: (1 n minus 5 n) + (3 + 6). Distributive property (1 minus 5) n + (3 + 6). Commutative property: negative 4 n + 9.

Commutative property: n minus 5 n + 3 + 6. Distributive property: (1 n minus 5 n) + (3 + 6). Associative property: (1 minus 5) n + (3 + 6). Addition property: negative 4 n + 9.

Answer 1

correct answer: a

Explanation:

Answer 2

Option A.

Explanation:

The given equation is

`n+3-5n+6`

Liliana wants to write an equivalent expression.

It can be written as

`n+(3-5n)+6`

Using commutative property, we get

`n-5n+3+6`
`[\because A+B=B+A]`

Using associative property, we get

`(n-5n)+(3+6)`
`[\because A+(B+C)=(A+B)+C]`

Using distributive property, we get

`(1-5)n+(3+6)`
`[\because An+Bn=(A+B)n]`

Using addition property, we get

`-4n+9`

Therefore, the correct option is A.