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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

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

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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