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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(-2 x + 19) ( -5 x + -1)
=
10 x2 + -93 x + -19
Ex. 1:
(4 x + 11) ( -2 x + -3)
=
-8 x2 + -34 x + -33
Ex. 2:
(4 x + -2) ( 6 x + 4)
=
24 x2 + 4 x + -8
Ex. 3:
(1 x + 8) ( 1 x + -6)
=
1 x2 + 2 x + -48
Ex. 4:
(-11 x + 14) ( -9 x + 7)
=
99 x2 + -203 x + 98
Ex. 5:
(-3 x + 2) ( 14 x + 16)
=
-42 x2 + -20 x + 32
Ex. 6:
(1 x + -5) ( 2 x + -5)
=
2 x2 + -15 x + 25
Ex. 7:
(9 x + 6) ( 16 x + -13)
=
144 x2 + -21 x + -78
Ex. 8:
(5 x + -8) ( 5 x + -10)
=
25 x2 + -90 x + 80
Ex. 9:
(-16 x + -16) ( 6 x + 7)
=
-96 x2 + -208 x + -112

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