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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
Solving Simultaneous Quadratic Equations
2 and 3 Part Ratios
Completing the Square
Ex. 0:
9 x2 + -1 x + -9 =>
9 (x
+
-1
18
)2
+
-325
36
Ex. 1:
2 x2 + -19 x + 12 =>
2 (x
+
-19
4
)2
+
-265
8
Ex. 2:
10 x2 + -13 x + -5 =>
10 (x
+
-13
20
)2
+
-369
40
Ex. 3:
6 x2 + -19 x + -12 =>
6 (x
+
-19
12
)2
+
-649
24
Ex. 4:
18 x2 + -1 x + 19 =>
18 (x
+
-1
36
)2
+
1367
72
Ex. 5:
-10 x2 + -14 x + 17 =>
-10 (x
+
-7
-10
)2
+
-219
-10
Ex. 6:
-10 x2 + 8 x + -9 =>
-10 (x
+
2
-5
)2
+
37
-5
Ex. 7:
5 x2 + 3 x + 2 =>
5 (x
+
3
10
)2
+
31
20
Ex. 8:
-16 x2 + -13 x + 12 =>
-16 (x
+
-13
-32
)2
+
-937
-64
Ex. 9:
-13 x2 + -14 x + 7 =>
-13 (x
+
-7
-13
)2
+
-140
-13