Distributing, step by step
3(x + 4) is not 3x + 4, and the child who writes it has not been careless — they multiplied the first term and stopped.
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
- Do not check by reading their line. Somebody else's working is the most persuasive thing on the page, and rereading it is how you end up agreeing with it — do the step yourself first, then compare.
- On your own, and writing the step nobody writes down: 6(x + 4) + 5(x + 4) becomes 6x + 24 + 5x + 20.
- Tidy that up and it is 11x + 44.
- 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.
- 01
Do not check by reading their line. Somebody else's working is the most persuasive thing on the page, and rereading it is how you end up agreeing with it — do the step yourself first, then compare.
- 02
On your own, and writing the step nobody writes down: 6(x + 4) + 5(x + 4) becomes 6x + 24 + 5x + 20.
- 03
Tidy that up and it is 11x + 44.
- 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.