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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Ex. 0:
y
=
(-3x + -2)
(16x + -15)
=>
x
=
(-2 - -15y)
(16y - -3)
Ex. 1:
y
=
(16x + -15)
(2x + -9)
=>
x
=
(-15 - -9y)
(2y - 16)
Ex. 2:
y
=
(5x + -19)
(-13x + -1)
=>
x
=
(-19 - -1y)
(-13y - 5)
Ex. 3:
y
=
(-5x + 1)
(3x + -14)
=>
x
=
(1 - -14y)
(3y - -5)
Ex. 4:
y
=
(7x + 16)
(5x + 15)
=>
x
=
(16 - 15y)
(5y - 7)
Ex. 5:
y
=
(-6x + 5)
(-7x + -18)
=>
x
=
(5 - -18y)
(-7y - -6)
Ex. 6:
y
=
(-2x + -6)
(19x + -13)
=>
x
=
(-6 - -13y)
(19y - -2)
Ex. 7:
y
=
(2x + 4)
(-6x + 19)
=>
x
=
(4 - 19y)
(-6y - 2)
Ex. 8:
y
=
(-17x + -10)
(-15x + 18)
=>
x
=
(-10 - 18y)
(-15y - -17)
Ex. 9:
y
=
(-5x + 6)
(-10x + 19)
=>
x
=
(6 - 19y)
(-10y - -5)

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