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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:
-10 x2 + -18 x + -12 =>
-10 (x
+
-9
-10
)2
+
39
-10
Ex. 1:
-9 x2 + -10 x + -4 =>
-9 (x
+
-5
-9
)2
+
11
-9
Ex. 2:
-4 x2 + -5 x + 9 =>
-4 (x
+
-5
-8
)2
+
-169
-16
Ex. 3:
-12 x2 + -11 x + -8 =>
-12 (x
+
-11
-24
)2
+
263
-48
Ex. 4:
19 x2 + 16 x + 10 =>
19 (x
+
8
19
)2
+
126
19
Ex. 5:
-6 x2 + -1 x + -5 =>
-6 (x
+
-1
-12
)2
+
119
-24
Ex. 6:
10 x2 + 14 x + 1 =>
10 (x
+
7
10
)2
+
-39
10
Ex. 7:
7 x2 + -2 x + 19 =>
7 (x
+
-1
7
)2
+
132
7
Ex. 8:
13 x2 + 17 x + -18 =>
13 (x
+
17
26
)2
+
-1225
52
Ex. 9:
-19 x2 + 3 x + 18 =>
-19 (x
+
3
-38
)2
+
-1377
-76