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### Proper, Improper and Mixed Fractions

### Fractional Arithmetic

### Changing the Subject of an Expression

Ex. 0:

y

=

(3x + 7)

(3x + -12)

=>

x

=

(7 - -12y)

(3y - 3)

Ex. 1:

y

=

(-7x + 6)

(3x + -1)

=>

x

=

(6 - -1y)

(3y - -7)

Ex. 2:

y

=

(10x + -15)

(-5x + -6)

=>

x

=

(-15 - -6y)

(-5y - 10)

Ex. 3:

y

=

(-9x + -17)

(-10x + 4)

=>

x

=

(-17 - 4y)

(-10y - -9)

Ex. 4:

y

=

(-18x + 19)

(16x + -15)

=>

x

=

(19 - -15y)

(16y - -18)

Ex. 5:

y

=

(18x + 7)

(-18x + -14)

=>

x

=

(7 - -14y)

(-18y - 18)

Ex. 6:

y

=

(16x + 12)

(-10x + -8)

=>

x

=

(12 - -8y)

(-10y - 16)

Ex. 7:

y

=

(8x + -19)

(-12x + -8)

=>

x

=

(-19 - -8y)

(-12y - 8)

Ex. 8:

y

=

(8x + 11)

(0x + -19)

=>

x

=

(11 - -19y)

(0y - 8)

Ex. 9:

y

=

(-3x + -17)

(0x + -12)

=>

x

=

(-17 - -12y)

(0y - -3)

### Multiplying Expressions

### Factorising Quadratic Expressions

### Solving Linear Equations

### Rationalising the Denominator

### Solving Simultaneous (Linear) Equations

### Solving Simultaneous Quadratic Equations

### 2 and 3 Part Ratios

### Completing the Square

### Sequences and Series

### Polynomial Long Division

### Factor and Remainder Theorem

### Roots of a cubic

### Differentials

### Finding Turning Points

### Pythagorus

### Sine and Cosine Rules

### Vectors

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