Distributing

The question

Mia wrote 6(x + 4) + 5(x + 4) = 11x + 24. Which is correct?

Mia wrote 6(x + 4) + 5(x + 4) = 11x + 24. Which is correct?

6(x + 4) + 5(x + 4)
6(x + 4) + 5(x + 4)=6x + 24 + 5x + 20
6(x + 4) + 5(x + 4)=6x + 24 + 5x + 20
6(x + 4) + 5(x + 4)=11x + 44
6(x + 4) + 5(x + 4)=11x + 44
they wrote:11x + 24
  1. Do the step yourself first, then compare with their line.
  2. On your own, writing every step: 6(x + 4) + 5(x + 4) becomes 6x + 24 + 5x + 20.
  3. Tidy that up and it is 11x + 44.
  4. Now compare. They wrote 11x + 24, and the first bracket reached its x but not its number — so the correct answer is 11x + 44.

How it works.

  1. 01

    Do the step yourself first, then compare with their line.

  2. 02

    On your own, writing every step: 6(x + 4) + 5(x + 4) becomes 6x + 24 + 5x + 20.

  3. 03

    Tidy that up and it is 11x + 44.

  4. 04

    Now compare. They wrote 11x + 24, and the first bracket reached its x but not its number — so the correct answer is 11x + 44.