Page 10 - Module1_B_i2_Portrait

Table of Content

Evaluating simple algebraic expressions ________________________________ 9
What is algebra? ___________________________________________________ 9
What is an equation? ________________________________________________ 9
Parts of an equation_________________________________________________ 9
Powers (exponents) ________________________________________________ 10
Like terms _______________________________________________________ 11
Worksheet _______________________________________________________ 13
Addition, subtraction, multiplication ____________________________________ 17
Use of brackets ___________________________________________________ 18
Simple algebraic fractions ___________________________________________ 20
Substitution ______________________________________________________ 26
Operations and BODMAS ___________________________________________ 27
Factorising algebraic expressions _____________________________________ 29
Worksheet _______________________________________________________ 31

Transposition______________________________________________________ 35
Basic rules _______________________________________________________ 35
Worksheet _______________________________________________________ 37
Common factors __________________________________________________ 41
Worksheet _______________________________________________________ 43
Powers and roots __________________________________________________ 47
Worksheet _______________________________________________________ 49
Complex formulae _________________________________________________ 53
Worksheet _______________________________________________________ 55

Linear equations and their solutions___________________________________ 59
What is a linear equation? ___________________________________________ 59
Types of linear equations____________________________________________ 59
Solving linear equations_____________________________________________ 62
Worksheet _______________________________________________________ 68

Indices and powers _________________________________________________ 73
General _________________________________________________________ 73
Negative and fractional indices _______________________________________ 76
More complicated fractions __________________________________________ 78
Worksheet _______________________________________________________ 79

Numbering Systems ________________________________________________ 83
Counting and arithmetic _____________________________________________ 83
Positional notation _________________________________________________ 84
Base____________________________________________________________ 84
Binary___________________________________________________________ 88
Unit and number __________________________________________________ 88
Binary conversion _________________________________________________ 90
Addition and subtraction of binary numbers______________________________ 91
Octal ___________________________________________________________ 98
Octal to decimal ___________________________________________________ 98
Base (radix) ______________________________________________________ 98
Positional notation _________________________________________________ 98
Most significant digit (MSD) and least significant digit (LSD) _________________ 99
Decimal to octal __________________________________________________ 100
Worksheet ______________________________________________________ 101

Total Training Support Ltd 2-5 Issue 2 – September 2016
© Copyright 2016 Module 1.2 Algebra