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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(4 x + -18) ( 19 x + 11)
=
76 x2 + -298 x + -198
Ex. 1:
(7 x + -19) ( 15 x + 8)
=
105 x2 + -229 x + -152
Ex. 2:
(-15 x + -2) ( -1 x + -1)
=
15 x2 + 17 x + 2
Ex. 3:
(-19 x + -7) ( 16 x + 7)
=
-304 x2 + -245 x + -49
Ex. 4:
(2 x + -14) ( -4 x + -15)
=
-8 x2 + 26 x + 210
Ex. 5:
(16 x + -16) ( -7 x + 15)
=
-112 x2 + 352 x + -240
Ex. 6:
(7 x + -15) ( -17 x + 1)
=
-119 x2 + 262 x + -15
Ex. 7:
(-10 x + -15) ( 5 x + 14)
=
-50 x2 + -215 x + -210
Ex. 8:
(-13 x + 5) ( 5 x + 13)
=
-65 x2 + -144 x + 65
Ex. 9:
(5 x + 0) ( 2 x + 9)
=
10 x2 + 45 x + 0

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

Sequences and Series

Polynomial Long Division

Factor and Remainder Theorem

Roots of a cubic

Differentials

Finding Turning Points

Pythagorus

Sine and Cosine Rules

Vectors