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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:
10 x
+
-17
=
-5 x
+
15
==> x
=
32
15
Ex. 1:
3 x
+
-10
=
-1 x
+
-15
==> x
=
-5
4
Ex. 2:
3 x
+
15
=
7 x
+
-16
==> x
=
-31
-4
Ex. 3:
-2 x
+
17
=
-18 x
+
-8
==> x
=
-25
16
Ex. 4:
-3 x
+
-13
=
1 x
+
-17
==> x
=
-1
-1
Ex. 5:
-19 x
+
-18
=
-17 x
+
18
==> x
=
18
-1
Ex. 6:
15 x
+
2
=
6 x
+
-9
==> x
=
-11
9
Ex. 7:
13 x
+
-18
=
10 x
+
4
==> x
=
22
3
Ex. 8:
-16 x
+
-14
=
-1 x
+
6
==> x
=
4
-3
Ex. 9:
-5 x
+
17
=
11 x
+
18
==> x
=
1
-16

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