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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] 14 x
+
-11 y
=
10
[2] 11 x
+
8 y
=
-6
==> x
=
14
233
, y
=
-194
233
Ex. 1:
[1] 12 x
+
-13 y
=
1
[2] 15 x
+
-13 y
=
-5
==> x
=
-2
1
, y
=
-25
13
Ex. 2:
[1] 16 x
+
-15 y
=
-17
[2] 16 x
+
8 y
=
-15
==> x
=
-361
368
, y
=
2
23
Ex. 3:
[1] 11 x
+
-13 y
=
19
[2] 3 x
+
12 y
=
4
==> x
=
280
171
, y
=
-13
171
Ex. 4:
[1] 2 x
+
-7 y
=
-8
[2] 11 x
+
7 y
=
19
==> x
=
11
13
, y
=
18
13
Ex. 5:
[1] 2 x
+
4 y
=
4
[2] 12 x
+
19 y
=
-12
==> x
=
62
-5
, y
=
-36
-5
Ex. 6:
[1] 17 x
+
-13 y
=
12
[2] 14 x
+
-9 y
=
5
==> x
=
-43
29
, y
=
-83
29
Ex. 7:
[1] 15 x
+
13 y
=
-13
[2] 5 x
+
-3 y
=
9
==> x
=
-39
-55
, y
=
20
-11
Ex. 8:
[1] 5 x
+
-18 y
=
10
[2] 4 x
+
-18 y
=
12
==> x
=
2
-1
, y
=
10
-9
Ex. 9:
[1] 19 x
+
14 y
=
0
[2] 7 x
+
-18 y
=
4
==> x
=
-7
-55
, y
=
19
-110

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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