Advanced Algebra

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Rationalise the Denominator:
³/_√5

• ^3√5/₅

• ^3√5/₂₅

• ^√5/₅

• ^√5/3

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Simplify fully: 
2√45 - 5√45 + 9√16

• -9√5 + 36

• -3√45 + 144

• 6√16

• 6√106

Which one would you multiply by to rationalise this denominator:
^√5 /_{(√2 - 1)}

• (√2 - 1)

• √2

• √2 + 1

• √5

Solve the simultaneous equations (there are two separate solutions):
y = x² + 7x - 2
y = 2x - 6

• x = 4, y = 2; x = 3, y = 5

• x = -4, y = 2; x = -1, y = -8

• x = -2, y = -10; x = 3, y = 0

• x = 1, y = -4; x = 0; y = -6

Simplify as far as possible

• 6/5x

• (x-4)/(x-2)

• (x+3)/(x+2)

• (x+3)/(x-4)