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

Answer:

Option A.

Step-by-step 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.

Answer 2

Answer:

correct answer: a

Step-by-step explanation: