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10 Cards in this Set

  • Front
  • Back

Simplifying expressions


2x+5y+5x+9y-2x=

(2x+5x-2x)+(5y+9y)


5x+14y

Indices


x^2 x x^6=


x^9 / x^4 =


(16^3/2)^3/2

x^2 x x^6 = x^8


x^9 / x^4 = x^5


(16^3/2)^3/2 --> 16^9/4 --> 2^9= 512

Expanding and factorising


4(x+2)


49x+70

4x+8


7(7x+10)

Surds


(root)80+(root)45+(root)20


Rationalise the denominator

4(root)5+3(root)5+2(root)5= 9(root)5


RTD: Times both sides by root or reciprocal equation in the bottom and simplyfy

Plotting graphs

Work out points, accurate axies, plot properly

Quadratic factorisation


X^2+ 3X +2

(x+2)(x+1)


Times together to make integer but add together to make the singular x value

Completing the square


x^2+6x+16

(x+3)^2 -9+16=0


(x+3)^2 +7=0


(x+3)^2=-7


x+3= (root)7


X= -3+(root)7 or -3-(root)7

Sketching quadratic curves

Find points, accurate axies, freehand curve

Linear simultaneous equations - elimination method


6x+2y=18


6x-2y=30

Label both sums, eliminate the y's by adding them together. 12x=48 therefore x=4. Substitute this in to the first equation. 6*4 +2y=18 therefore 2y=-6 and y=-3

Linear simultaneous equations - substitution method


3y+2x=26


4y+4x=40

Label them then instead of getting rid of one of the terms, rearrange one of the equations to find what one of the letters equal. Then substitute into the second, expand simplyfy and find the terms through this and substitution