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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(0 x + 8) ( -18 x + -15)
=
0 x2 + -144 x + -120
Ex. 1:
(6 x + 12) ( -7 x + -17)
=
-42 x2 + -186 x + -204
Ex. 2:
(11 x + 0) ( 3 x + -6)
=
33 x2 + -66 x + 0
Ex. 3:
(-8 x + 6) ( 17 x + -18)
=
-136 x2 + 246 x + -108
Ex. 4:
(17 x + 7) ( 2 x + 10)
=
34 x2 + 184 x + 70
Ex. 5:
(1 x + 16) ( 18 x + 11)
=
18 x2 + 299 x + 176
Ex. 6:
(18 x + 11) ( 18 x + 19)
=
324 x2 + 540 x + 209
Ex. 7:
(-17 x + 12) ( -16 x + 3)
=
272 x2 + -243 x + 36
Ex. 8:
(1 x + -15) ( 7 x + -12)
=
7 x2 + -117 x + 180
Ex. 9:
(17 x + -19) ( -10 x + 8)
=
-170 x2 + 326 x + -152

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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