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Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Solving Linear Equations with Fractions


L.O To be able to interpret fractional equations and solve them using the inverse method

In algebraic expressions whenever a term is divided by another, fractions instead of division signs are used to represent this.

Example 1:

 

Example 2 : 

Example 3 : 

Example 4:

        

Word Problems

a) Amara thinks of a number. She adds 3 and then divides it by 2 to receive an answer. Abdul on the other hand starts with a number, subtracts 5 and then divides by 3. When they reveal their numbers they notice they started with the same number initially. Write down expressions for both Amara and Abdul and work out the number they started with.

   

b) Ibrahim drives Rickshaw’s in India. On one journey he travels for ¾ of an hour at the speed of p km per hour. He then travels for 1/5 of an hour at the speed of (p + 5) km per hour. When he looks at his mileage it appears he has done 30 miles. Work out the value of p.

     
c) Alina has an Isosceles triangle. The length of the sides PQ and PR are the same. The angle PQR is 3/7(x+20) and PRQ is 80 – x. Using this information find x and then the size of the remaining angle.

 

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