Mavis has three bags containing n marbles each and six loose marbles. Circle the formulas below that show how many marbles,m,Mavis has.
The formulas:
M=6n M=n+6 M=3n+6 M=3(n+2) M=3(n+6)
I don't want you to give me the answer straight away,but I would like you to explain it first if you give me the answer. So please talk me through it!x
If you have the M = 3n + 6, the +2 comes from factorizing it (putting it into brackets). M = 3 x (n + 2), because 6/3 is 2, leaving the + 2. Another way of thinking about it is, in order to factorize it, everything inside the brackets has to be divided by the number outside the brackets, and when expanding the brackets, everything inside the brackets has to be multiplied by the number outside the brackets (in this case, 3).
I'm sorry if this doesn't make sense, it's kind of hard to explain over typing
If you have the M = 3n + 6, the +2 comes from factorizing it (putting it into brackets). M = 3 x (n + 2), because 6/3 is 2, leaving the + 2. Another way of thinking about it is, in order to factorize it, everything inside the brackets has to be divided by the number outside the brackets, and when expanding the brackets, everything inside the brackets has to be multiplied by the number outside the brackets (in this case, 3).
I'm sorry if this doesn't make sense, it's kind of hard to explain over typing
So basically I have to factorize it and divide 6 by 3? What do you mean by expanding brackets...How would I do this? Sorry,I haven't learnt this yet
So basically I have to factorize it and divide 6 by 3? What do you mean by expanding brackets...How would I do this? Sorry,I haven't learnt this yet
yep! expanding brackets is taking away the brackets. It's fine e.g. 3(4 + 2x), expanded would be 12 + 6x, because you multiply everything in the brackets by the number outside the brackets
yep! expanding brackets is taking away the brackets. It's fine e.g. 3(4 + 2x), expanded would be 12 + 6x, because you multiply everything in the brackets by the number outside the brackets