Question

Select all the expressions that are equivalent to 2n + 6

Answer 1

6 + 2n

2(n + 3)

2(n - 3) + 12

2(n + 1) + 4

6 + 2n: This is just the same as 2n + 6, but with the terms in a different order.

2(n + 3): Distributing the 2 gives 2n + 6, which is the same as the original expression.

2(n - 3) + 12: Expanding the first term gives 2n - 6, and adding 12 to this gives 2n + 6, which is equivalent to the original expression.

2(n + 1) + 4: Distributing the 2 gives 2n + 2, and adding 4 to this gives 2n + 6, which is equivalent to the original expression.