Instructions: Answer all questions.

Q1) Evaluate the following; (5 marks)

i. 3 – 3 x 6 + 2

ii. 6 x 12 ÷ 4 – 2 x 3 – 5 + 3 – 1

Q2) Use the properties of logarithm to express the following in terms of logarithm of X, Y and Z (5 marks)

LogX

Y

Q3) Solve for X in the following equation log

1000x

2

+ log

9

729

x

= 6 (5 marks)

Q4) Given that Y = 3x + 6, plot the graph of the function for the value of X such that -5 ≤ X < 6 (6 marks)

Q5) Find the equilibrium price and quantity given that the demand function is P + q

2

+ 3q – 20 = 0 and that

the supply function is given by P – 3q

2

+ 10q = 5. Which type of market is this? (5 marks)