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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] 15 x
+
19 y
=
4
[2] 4 x
+
19 y
=
-19
==> x
=
23
11
, y
=
-301
209
Ex. 1:
[1] 9 x
+
4 y
=
7
[2] 10 x
+
10 y
=
-11
==> x
=
57
25
, y
=
-169
50
Ex. 2:
[1] 14 x
+
-9 y
=
13
[2] 2 x
+
-12 y
=
7
==> x
=
-31
-50
, y
=
12
-25
Ex. 3:
[1] 16 x
+
16 y
=
-7
[2] 19 x
+
13 y
=
-2
==> x
=
-59
-96
, y
=
101
-96
Ex. 4:
[1] 12 x
+
-3 y
=
11
[2] 8 x
+
-2 y
=
2
==> x
=
-1
0
, y
=
-1
0
Ex. 5:
[1] 8 x
+
-7 y
=
2
[2] 4 x
+
1 y
=
-18
==> x
=
-31
9
, y
=
-38
9
Ex. 6:
[1] 11 x
+
-10 y
=
4
[2] 1 x
+
16 y
=
-8
==> x
=
-8
93
, y
=
-46
93
Ex. 7:
[1] 19 x
+
15 y
=
-7
[2] 15 x
+
-6 y
=
-13
==> x
=
79
-113
, y
=
-142
-339
Ex. 8:
[1] 8 x
+
11 y
=
-12
[2] 9 x
+
-7 y
=
12
==> x
=
-48
-155
, y
=
204
-155
Ex. 9:
[1] 17 x
+
18 y
=
-6
[2] 6 x
+
19 y
=
9
==> x
=
-276
215
, y
=
189
215

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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