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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

Ex. 0:
15 x
+
14
=
6 x
+
9
==> x
=
-5
9
Ex. 1:
19 x
+
12
=
3 x
+
11
==> x
=
-1
16
Ex. 2:
-13 x
+
-17
=
19 x
+
1
==> x
=
9
-16
Ex. 3:
-15 x
+
18
=
-1 x
+
3
==> x
=
-15
-14
Ex. 4:
13 x
+
-3
=
-14 x
+
19
==> x
=
22
27
Ex. 5:
-10 x
+
-18
=
-13 x
+
-4
==> x
=
14
3
Ex. 6:
2 x
+
-14
=
18 x
+
13
==> x
=
27
-16
Ex. 7:
15 x
+
4
=
9 x
+
4
==> x
=
0
6
Ex. 8:
-1 x
+
-13
=
-16 x
+
-18
==> x
=
-1
3
Ex. 9:
18 x
+
16
=
-11 x
+
-19
==> x
=
-35
29

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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