2) a) Using matrix method solve the following simultaneous equations
2x + 3y = 13
x – 4y = 1
a) Find the determinant of the following matrix
2 -1 -6
-3 0 5
4 3 0
c) If told that matrix A is a singular Matrix find the possible value(s) for x
16 4x
A = x 9
3) Given that f(x) = 2x + 5 g(x) = 3x – 5 and h(x) = 2x + 3
2 x
Find:- i) f(-4) = ii) g[f(2)] = iii) f[g(-3)] =
iv) hᴏf(x) v) h-1(x) =
4. Given the functions g(x) = 5x - 2 find g-1(x)
4x + 3
5. Two numbers when multiplied equals 28.
If one number is x and the other number is greater than x by 3
a) Represent the information given in equation form
b) Express as a
c) Solve the quadratic equation to find possible values for x
d) If told that the two number were positive, give the values of the two original numbers.
6. Solve the following quadratic equations ( hint use the quadratic formula)
a) 3x2 + 23x + 14 = 0 b) 8x2 + 6x - 9 = 0
7. Find the equation of the line joining the points (5, 9) and (-4, -6)
8. Find the equation of the line passing through the point (-4, 8) and
perpendicular to the line 3y = 7 – 2x
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