Pure Year 1

Question 1

Index laws

Answer 1

the base would be a
exponent would be n or m
a^m X a^n = a^m+n
a^m / a^n = a^m-n
(a^m)^n = a^mn
(ab)^n = a^nb^n

Question 2

negative and fractional indices

Answer 2

anything to the power of 0 is 1
a^ 1/m = m(square root) a
a^ n/m = (m(square root))^n
a^ -m = 1/a^m

Question 3

surds

Answer 3

a surd is a root of a number that does not simplify to a rational number.

square root =//
//a X // b = //ab
/a divided by /b = / a over b

Question 4

rationalising the denominator

Answer 4

means to make the denominator a rational number
eg) 1/ //2 X root 2 / root 2

Question 5

Quadratics

Answer 5

-solving; factorising; quadratic formula
-completing the square
-quadratics as functions
-quadratic graphs
-the discriminant
-modelling with quadratics