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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

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