1) If A = 5 6 and B = 3 4

-1 -2 -1 -2

Find:- a) B² b) determinant A c) Adjoint B d) A^-1

2) a) Using matrix method solve the following simultaneous equations

2x + 5y = 18

x - 3y = -2

a) Find the determinant of the following matrix

1 -1 -6

0 3 6

7 4 2

c) If told that the determinant of A = 84 find the possible value(s) for x

4x 2x

A = 4 3x

3) Given that f(x) = 2x + 8 g(x) = 5x - 2 and h(x) = 2x + 6 4 x Find:- i) f(-5) = ii) g[f(0)] = iii) f[h(3)] =

iv) hf(x) v) h^-1(x) =

4. Given the functions h(x) = 2x + 3 find h^-1(x)

4x - 5

5. Two numbers when multiplied equals 63.

If one number is x and the other number is greater than x by 2

a) Represent the information given in equation form

b) Express as a quadratic equation

c) Solve the quadratic equation to find possible values for x

d) If told that the two number are positive numbers, what are the values of the two original numbers?

6. Solve the following quadratic equations ( hint use the quadratic formula)

a) 4x² + 10x - 24 = 0 b) 6x² - 13x + 6 = 0

7. Find the equation of the line joining the points (2, -8) and (5, 6)

8. Find the equation of the line passing through the point (-6, 4) and

perpendicular to the line 3y = 8 + 2x