The sum of three consecutive integers if the first is z. The sum of three consecutive odd integers if the first integer is x

Question

Write the algebraic expression and simplify

Answer 1

The sum of three consecutive integers if the first is z.

Start with z, add 1 to z, then add 2 to z (gives you a set of 3 numbers like 1, 2, 3 or 256, 257, 258, it jujst depends on what your z is)

z + (z+1) + (z+2)

z + z + z + 1 + 2

3z + 3

3(z + 1)

The sum of three consecutive odd integers if the first integer is x.

Start with x, add 2 to x (to keep odd numbers), then add 4 to x (same reason, to keep odd numbers)

x + (x + 2) + (x + 4)

x + x + x + 2 + 4

3x + 6

3(x+2)

Write the algebraic expression and simplify