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2. Let’s consider 4 x 3b or 4 x 3 Bananas
This mean 4 lots of 3 Bananas:
which is a total of 12 Bananas.
4 x 3b = 12b
or 4 x 3 x b = 12 x b = 12b
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3. Now Let’s consider 4a x 3b or 4 Apples x 3 Bananas
This is really strange to multiply Apples by Bananas because they are different items !
Let's do it anyway ! First let’s put in all the multiply signs:
4xax3xb (Now adjust the order so the numbers come first)
=4x3xaxb (We can work out the number part as 4 x 3 =12)
= 12 x a x b = 12ab (Remember in Algebra we leave out x signs from answers)
Now this is really hard to get your head around, but 12AB could be the number of
Grapes that we have. In this case we have lots of Grapes!
The Total Grapes = 12 x the number of Apples x the number of Bananas.
So 4a x 3b is an expanded way of saying that we have 12 x a x b or 12ab.

4. WARNING: In this presentation we are
only doing simple multiplying questions
which do not have exponents or indices.
If the letter parts have powers in them,
there are some extra steps to do, which
we will cover in a separate presentation.
Images from Clker.com

5. To Multiply Algebra Terms, follow these steps:
 Expand all terms using multiplication signs
 Rearrange the order of the items so that the
numbers come first, and then after the numbers
put all the letters in alphabetical order
 Work out the numbers answer, remove all the
multiplication signs, and put the letter variables
in alphabet order with no spaces in between them.

6. Simplify: 7 x 5h
Steps are : Fully Expand, Reorder, then Simplify
= 7x 5 x h
= 35 x h
= 35h

7. Simplify : 7e x 5h
7e x 5h (First expand all terms fully)
= 7 x e x 5 x h (Group Numbers & Letters)
= 7 x 5 x e x h (Simplify and Remove x’s)
= 35eh

8. Simplify : 2vp x -3w x 8k
2 x v x p x -3 x w x 8 x k (Group Numbers)
= 2 x -3 x 8 x v x p x w x k (Alphabet Order)
= -48 xkxpxvxw (Remove x’s)
= -48kpvw

9. Simplify : 4eh x 2d x 3
4xe xhx2xdx3 (Group Numbers)
= 4x2x3xe xhxd (Alphabet Order)
= 24 xd xexh (Remove x’s)
= 24deh

10. Simplify : 5 x -u x 4c x -3 ( -u is same as –1u )
5 x -1 x u x 4 x c x -3 (Group Numbers)
= 5 x -1 x 4 x -3 x u x c (Alphabet Order)
= 60 xcxu (Remove x’s)
= 60cu

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