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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Ex. 0:
y
=
(-17x + -6)
(2x + 9)
=>
x
=
(-6 - 9y)
(2y - -17)
Ex. 1:
y
=
(-17x + 19)
(-1x + 14)
=>
x
=
(19 - 14y)
(-1y - -17)
Ex. 2:
y
=
(-8x + -17)
(13x + -18)
=>
x
=
(-17 - -18y)
(13y - -8)
Ex. 3:
y
=
(1x + 14)
(-14x + 12)
=>
x
=
(14 - 12y)
(-14y - 1)
Ex. 4:
y
=
(0x + -1)
(15x + 10)
=>
x
=
(-1 - 10y)
(15y - 0)
Ex. 5:
y
=
(11x + -7)
(-3x + 11)
=>
x
=
(-7 - 11y)
(-3y - 11)
Ex. 6:
y
=
(12x + 19)
(-12x + -12)
=>
x
=
(19 - -12y)
(-12y - 12)
Ex. 7:
y
=
(6x + 13)
(-6x + 9)
=>
x
=
(13 - 9y)
(-6y - 6)
Ex. 8:
y
=
(-13x + 15)
(-2x + -10)
=>
x
=
(15 - -10y)
(-2y - -13)
Ex. 9:
y
=
(14x + 17)
(-16x + -13)
=>
x
=
(17 - -13y)
(-16y - 14)

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