Algebra

Question 1

equation = from roots

Answer 1

x2 - x(r1 + r2) + r1 r2 = 0

Question 2

completing the square gives you …

Answer 2

max/min values or real/complex roots , values of x which make the function pos./neg.

Question 3

find x and y point [ (x-3) squared +4

Answer 3

x= +3 y= +4

Question 4

min/max point expression

Answer 4

a (x-b)squared

Question 5

effects comparing fx and gx where gx= 2fx

Answer 5

amplified (higher waves, same roots)

Question 6

effects comparing fx and gx where gx= -fx

Answer 6

inverted (opposite , same roots)

Question 7

type of graph fx = ax3

Answer 7

exponential

Question 8

r, n, z = as seen on number line

Answer 8

r or n = . . . . . . Z= ._________.

Question 9

discriminant

Answer 9

b2 - 4ac

Question 10

rational inequalities (wtd)

Answer 10

multiply both sides by the same thing (from denominator of one )

Question 11

if |x| then a= …. , if |x|2 then a= …

Answer 11

+a, -a / a2

Question 12

absolute value

Answer 12

modulus

Question 13

direct proof

Answer 13

axioms/definitions/theorems

Question 14

minimal point and the minimal value

Answer 14

(x,y) , (y)

Question 15

if there is only 1 surd ?, if there is 2+ surds?

Answer 15

1 = isolate + square both sides + solve . 2+ = move one to each side, square + isolate any left , square again

Question 16

if awkward expression use…. eg ; -t/r2 +4t/r + t =

Answer 16

substitution