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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Factorising Quadratic Expressions

Solving Linear Equations

Rationalising the Denominator

Solving Simultaneous (Linear) Equations

Ex. 0:
[1] 1 x
+
6 y
=
-2
[2] 6 x
+
-10 y
=
5
==> x
=
-5
-23
, y
=
17
-46
Ex. 1:
[1] 7 x
+
13 y
=
8
[2] 7 x
+
10 y
=
6
==> x
=
2
-21
, y
=
-2
-3
Ex. 2:
[1] 11 x
+
-16 y
=
7
[2] 4 x
+
19 y
=
0
==> x
=
19
39
, y
=
-4
39
Ex. 3:
[1] 16 x
+
-6 y
=
-3
[2] 17 x
+
-11 y
=
-13
==> x
=
-45
-74
, y
=
-157
-74
Ex. 4:
[1] 7 x
+
-19 y
=
-14
[2] 17 x
+
-19 y
=
-3
==> x
=
11
10
, y
=
217
190
Ex. 5:
[1] 15 x
+
5 y
=
4
[2] 2 x
+
18 y
=
18
==> x
=
-9
130
, y
=
131
130
Ex. 6:
[1] 7 x
+
-9 y
=
-18
[2] 14 x
+
10 y
=
3
==> x
=
-153
196
, y
=
39
28
Ex. 7:
[1] 1 x
+
9 y
=
-5
[2] 11 x
+
16 y
=
-12
==> x
=
28
-83
, y
=
43
-83
Ex. 8:
[1] 2 x
+
-14 y
=
11
[2] 14 x
+
3 y
=
-14
==> x
=
-163
202
, y
=
-91
101
Ex. 9:
[1] 16 x
+
7 y
=
0
[2] 5 x
+
5 y
=
-10
==> x
=
14
9
, y
=
-32
9

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