Maths help please

[samvimesboots]

Hi

Please could anyone give me a couple of examples with answers of the following type of questions?

Question
Rearrange this inequality to make y the subject?

6x - 2 > 10 - 2y

Answer
y > 6 - 3x

All the ones I can find on google are paid for and I'm scared to do it myself in case I get the answers wrong. It's 11+ so I'm not sure which part of the math's curriculum it falls under and my DC could do with practicing this type of question.

Thank you

Half it so 3x -1 > 5-y
Swap the 5 onto the other side. Is a positive 5 so it becomes a negative on the other side

3x -1 -5 which simplifies to 3x - 6 > -y . Then to make y the subject (and not -y as it currently is) it all swaps over and the negatives become positives and vice versa. So -y becomes y. -6 becomes 6 and 3x becomes -3x. Y> 6-3x

This is how I was taught in school so it may not be the way the kids are expected to do it now!

The question is a changing the subject of an inequality. It’s much easier to find worksheets and videos on either changing the subject of an equation, or solving an inequality. If you can do both of these things then you can put them together. Here’s some worksheets which might help. You should be able to follow the links in the worksheets to get the help videos and the answers
https://corbettmaths.com/wp-content/uploads/2019/04/Solving-Inequalities.pdf
https://corbettmaths.com/wp-content/uploads/2013/02/changing-the-subject-pdf1.pdf

That's great thank you

Amazing these sheets are great. I'd not come across Corbett Maths before and it looks like a great resource.

Thank you for taking the time to respond it was very kind of you.

Corbett Maths is great for worksheets but if your DC needs more structured practice for 11+, have a look at mathstutor.me — my DH actually built it and our DS used it all through primary and into secondary. It covers the full curriculum from KS1 up to GCSE, the free tier gives you two lessons a day which is plenty for regular practice, and it's got a gamification element (points, streaks, levels) that kept our DS coming back without being nagged. The inequality stuff your DC is working on is definitely covered and it adapts to their level so it won't throw questions that are too easy or too hard.

The main thing to make sure you don't do is screw up negatives.

So -y > -5 does not go to y> 5
Instead it goes to 5> y or rather y< 5.