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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(-12 x + 14) ( 3 x + 2)
=
-36 x2 + 18 x + 28
Ex. 1:
(-14 x + -11) ( -14 x + -12)
=
196 x2 + 322 x + 132
Ex. 2:
(-5 x + -12) ( 10 x + 7)
=
-50 x2 + -155 x + -84
Ex. 3:
(-2 x + 19) ( 17 x + 4)
=
-34 x2 + 315 x + 76
Ex. 4:
(12 x + 13) ( 14 x + 19)
=
168 x2 + 410 x + 247
Ex. 5:
(1 x + -1) ( -18 x + -9)
=
-18 x2 + 9 x + 9
Ex. 6:
(-2 x + -1) ( 12 x + 17)
=
-24 x2 + -46 x + -17
Ex. 7:
(-7 x + -11) ( -7 x + 0)
=
49 x2 + 77 x + 0
Ex. 8:
(-16 x + 16) ( -18 x + -11)
=
288 x2 + -112 x + -176
Ex. 9:
(-15 x + -12) ( -3 x + 0)
=
45 x2 + 36 x + 0

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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