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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

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