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Table of Contents

 

Algebra | Unit 1 | Expressions and Formula

Page 1 | Writing Formula

Page 2 | Solving Formula

Page 3| Changing the Subject of a Formula

Algebra | Unit 2 | Inequalities

Page 1 | Number Lines

Page 2 | Solving Inequalities

Algebra | Unit 3 | Equations

Page 1 | Solving Equations

Page 2 | Equations with Brackets

Page 3 | Equations with Fractions

Algebra | Unit 4 | Graphs

Page 1 | Straight Line Graphs ( y = mx + c )

Algebra | Unit 5 | Patterns and Sequences

Page 1 | Basic Patterns

Page 2 | Linear Sequences & nth term

Page 3 | Quadratic Equations

Shape, Space and Measure | Unit 1 |Transformations

Page 1 | Congruent Shapes

Page 2 | Translations

Page 3 | Rotations

Page 4 | Reflections

Page 5 | Enlargements

Shape, Space and Measure | Unit 2 |Symmetry

Page 1 | Line Symmetry

Page 2 | Rotational Symmetry

Shape, Space and Measure | Unit 2 |Coordinates

Page 1 | Plotting Coordinates

Shape, Space and Measure | Unit 3 |Perimeter, Area, Volume

Shape, Space and Measure | Unit 4 |Measurement

Page 1 | Estimation and Accuracy

Page 2 | Scales

Page 3 | Conversions (Metric & Imperial)

Page 4 | Area and Volume Unit Conversions

Shape, Space and Measure | Unit 5 |Trigonometry

Page 1 | Triangle Construction

Shape, Space and Measure | Unit 6 |Pythagoras

Page 1 | Pythagoras Theorem

Page 2 | Line Segments

Shape, Space and Measure | Unit 7 |Angles

Page 1 | Summary of Drawing  &Reading Angles

Page 2 | Angle Sum in Different Shapes

Page 3 | Angles in a Polygon

Page 4 | Angles and Parallel Lines

Page 5 | Perpendicular Bisectors

Page 6 | Angle Bisectors

Page 7 | Constructing Loci

Shape, Space and Measure | Unit 8 |Shapes

Page 1 | Properties of Circles

Page 2 | Properties of Polygons

Page 3 | Properties of Triangles

Page 4 | 3D Shapes: Nets & Faces

Shape, Space and Measure | Unit 8 |Time

Page 1 | Units of Time

Page 2 | 12 & 24 Hour Clocks

Page 3 | Timetables

Number | Unit 1 |Place Value

Number | Unit 2 |Distance, Speed and Time

Number | Unit 3 |Rounding and estimating

Number | Unit 4 |Ratio and Proportion

Page 1 | Equivalent Ratios

Page 2 | Division with Ratios

Page 3 | Scale Drawings & Maps

Page 4 | Proportions

Number | Unit 5 |Primer numbers, factors and multiples

Number | Unit 6 |Powers and roots

Number | Unit 7 |Decimals

Page 1 | X 10, 100 & 1000

Page 2 | ÷10, 100 & 1000

Page 3 | Multiplying and Dividing by Whole Numbers

Number | Unit 8 |Positive and negative numbers

Page 1 | Operations with Positive and Negative Numbers

Number | Unit 9 |Operations

Page 1 | BIDMAS Rule

Page 2 | Multiplication & Division (Different Methods)

Page 3 | Converting Fractions, Decimals & Percentages

Number | Unit 10 |Fractions

Page 1 | Equivalent Fractions

Page 2 | Simplifying Fractions

Page 3 | Mixed Numbers

Page 4 | Improper Fractions

Page 5 | Ordering Fractions

Page 6 | Addition & Subtraction

Page 7 | Multiplication & Division

Number | Unit 11 |Percentages

Page 1 | Percentages of Quantities

Page 2 | Interest, Wages & Quantities

Number | Unit 12 |Standard Index form

Page 1 | Decimals in Standard Form

Page 2 | Writing in Standard Form

Page 3 | Addition and Subtraction un Standard Form

Page 4 | Multiplication and Division in Standard Form

Handling Data | Unit 1 |Collecting & Recording Data Representing Data

Page 1 | Tables & Tally Diagrams

Page 2 | Frequency Tables

Page 3 | Stem & Leaf Diagrams

Handling Data | Unit 2 |Representing Data 

Page 1 | Bar Charts

Page 2 | Line Graphs

Page 3 | Pictograms

Page 4 | Frequency Polygons

Page 5 | Scatter Diagrams

Page 6 | Pie Charts

Handling Data | Unit 2 |Averages

Page 1 | Mean, Median, Mode & Range

Page 2 | Averages of Grouped Data

Handling Data | Unit 2 |Probability

Page 1 | Basic Probability

Page 2 | Sum of Probabilities

Page 3 | Probability of Combined Events

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solving Equations


L.O to be able to find the solution to double barrel equations involving multiple terms in the equation

Solving equations is the same as solving formula but equations can be more complex in the sense that there can be the same term on both sides. For instance some equations can take the form of:

This makes it more complex when solving the equation and finding the exact value of x.

The way to tackle equations like these is to get all the X’s on the same side. Thereafter applying the inverses will allow you to find the exact value of x.

For instance with the equation:

4x + 6 = 2x + 8

Note how both methods give you the same solution. This is because both methods start by placing the x terms on the same side. This can either be done by –2xwhich would cancel out the x terms on the LHS as method 1 shows. However the same can be done by -4xwhich would cancel out the x terms on the RHS as method 2 suggests.

The latter steps are ones you should now be familiar with from solving formulae and inequalities: these steps simply involve applying the inverse operations.

Example 1: Solve the following equation 6x – 7 = 2x + 9

Example 2 : Solve the following equation -9x + 3 = 3x + 15

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