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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Ex. 0:
y
=
(-1x + -11)
(17x + 7)
=>
x
=
(-11 - 7y)
(17y - -1)
Ex. 1:
y
=
(18x + -16)
(12x + -12)
=>
x
=
(-16 - -12y)
(12y - 18)
Ex. 2:
y
=
(-18x + -12)
(6x + -4)
=>
x
=
(-12 - -4y)
(6y - -18)
Ex. 3:
y
=
(12x + -1)
(-6x + -2)
=>
x
=
(-1 - -2y)
(-6y - 12)
Ex. 4:
y
=
(-12x + 8)
(12x + 1)
=>
x
=
(8 - 1y)
(12y - -12)
Ex. 5:
y
=
(18x + -14)
(-1x + 9)
=>
x
=
(-14 - 9y)
(-1y - 18)
Ex. 6:
y
=
(14x + 4)
(-14x + 0)
=>
x
=
(4 - 0y)
(-14y - 14)
Ex. 7:
y
=
(7x + -3)
(0x + -13)
=>
x
=
(-3 - -13y)
(0y - 7)
Ex. 8:
y
=
(6x + -2)
(13x + 4)
=>
x
=
(-2 - 4y)
(13y - 6)
Ex. 9:
y
=
(2x + 5)
(12x + 3)
=>
x
=
(5 - 3y)
(12y - 2)

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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