#### Transcript of 8MATA2JaycobHardie Algebra Task

**Algebra**

**By Jaycob Hardie 8B**

Expanding Grouping Symbols

3(a + 2)

Step 1. In this equation, and most other algebraic equations, we want to find the unknown value, in this case, a. To do this, multiply the number outside the brackets by the numbers inside the brackets, like this:

Step 2: Simplify the now expanded algorithm.

Factorising Grouping Symbols

Step 1: Find the highest common factor (HCF). This is the highest number that is a factor of both of the numbers, in this case those numbers are 6 and 12.

Step 2: Now that we have the HCF, (6), we can work out the rest of the equation. For this step, work out how many times the HCF goes into both of the sides of the equation, and then write it out in an expanded formula. Don't forget to take into account the pronumerals (the letters) beside each of the numbers.

Step 3: Put these numbers into an equation with the HCF outside and the now simplified equation in brackets.

Everyday Applications of Algebra

Algebra is used is a lot of different ways every day, for example, paying for fuel.

Situation: You have $30 to spend on fuel, and fuel costs $5 per litre. How many litres of fuel can you purchase with $30?

To start, make the amount of fuel "a".

The equation:

5 x a = 30

30 ÷ 5 = 6

5 x 6 = 30

a = 6

You can buy 6 litres of fuel.

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