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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

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

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