Maths

Algebra

Expressions And Formula

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Algebraic Notation

When expressing events using algebra the multiplication sign disappears.

For example:

There are 4 rows of students and each row has the same number of students We will use the letter ‘n’ to

stand for the number of students in a row.So, in 4 rows there will be 4 X n students.This is written as 4n.

6 students then come along to sit on the row, so now the total number of students altogether is : 4n + 6.

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Writing Expressions

Example 1

1. There are b large bolts in a box and p small bolts in each packet. Samantha buys 5 boxes of large bolts.

Write an expression for this.

2.Samantha also buys 2 packets of small bolts. She uses 7 large nails and 5 small bolts. Write down an

expression in terms of b and p for the total number of large bolts and small bolts left.

So in total Samantha has 5b + 2p bolts altogether. 5b + 2p – 12 is your final answer.

Step 1:

Visualise and clarify what is going on, how much does Samantha initially have? She buys 2 packs of

small bolts. Each pack contains p bolts so in total shehas a total of 2p small bolts.

Step 2:

Writing the expression. She has 5 boxes containing b large bolts which is 5 X b written as 5b.

Remember: in expressions the multiplication sign disappears.

Step 3:

Work out in total how many nails were used. She uses 7 + 5 = 12

Step 4:

Now simply subtracted the nails used away from what Samantha initially had

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