Quick introduction to Algebra 1
Chapters
Commutative, Associative and Distributive Laws
The commutative law states that if you change the order of operands in an equation, it doesn’t change the value of the equation.
That is
a + b =b + a
3 + 4 = 4 + 3
Or when u multiply
a x b = b x a
3 x 4 = 4 x 3
Associative law states that it doesn't matter how we group the numbers (i.e. which we calculate first)
When we add
(2+3)+4 = 2+ (3+4)
(a +b)+c =a+ (b + c)
Or multiply
(2 . 3) . 4 = 2 . (3 . 4)
(a . b) . c =a . (b . c)
Distributive law states that
2 lots of (3+4) is the same as 2 lots of 3 plus 2 lots of 4
That is
2 x (3+4)
= 2 x 3 + 2 x 4
= 6 + 8
=14
2 x (3 +4 ) = 2 x 7
= 14
And we write like this
a x (b + c) =a x b +a x c
eg 1:
6 x 103
= 6 x 100 + 6 x 3
= 600 + 18
= 618
Eg 2:
14 x 30 + 14 x 70
= 14 x ( 30 + 70)
= 14 x 100
=1400
Description
In this tutorial we will cover Algebra 1 with examples. This is really a quick introduction to Algebra 1. This tutorial will suit students who want to check out what Algebra is all about or for students who wants to quickly brush up their Algebra knowledge
Topics for this tutorial includes
- Quick background on Algebra
- Variables and expressions
- Algebraic multiplication
- Expressions
- Order of operations
- Algebra basic definitions
- Commutative, Associative and Distributive Laws
- Manipulating Expressions
- Writing and interpreting expressions.
- Expressions adding fractions
- What next
This quiz is followed up with a BODMAS based quiz, which is absolutely free to take and test your knowledge.
I hope that you will enjoy this tutorial. Please leave your feedback and improvement suggestions
Prerequisites
Mathematics knowledge including pre algrebra, multiplication, subtraction, additions etc is essential
Audience
Students starting with Algebra 1 or students looking to quickly brush up their Algebra 1 knowledge.
Learning Objectives
Learn Algebra 1
Author: Subject Coach
Added on: 27th Jan 2015
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