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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

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