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Chapter 3 . Find a general linear equation (Aa:+By+C = 0, with A, B, C integers)
of the straight line which passes through (5, 2) and (6, —8), and sketch
the line. (4 marks) . Find the slope, y-intercept, and sis—intercept of the line given by
a — 9 = 5y + 3
and sketch its graph. (4 marks) . An oil producer will place 1.5 million barrels of oil per week on the
market when the price is $75 per barrel, and 2.5 million barrels of oil
per week when the price is $90 per barrel. (a) Find the supply equation (giving price as a function of quan-
tity), assuming that price p and quantity q are linearly related. (3 marks)
(b) According to this model, how much will this producer supply if
the price of oil goes to $110 per barrel? (2 marks) . Sketch of a graph of the function f (:3) = —3a:2 + 185s + 7. State the
vertex and y-intercept of the graph of the function. (4 marks) . The demand function for an office supply company’s line of fuzzy pen-
cils is p = 23 — 2g, where p is the price per box of pencils when q boxes
are demanded (per week) by consumers. Find the level of production
that will maximize the manufacturer’s total revenue, and determine this revenue (assuming all boxes produced are sold). (4 marks)
. Solve the system of equations 3:1: + 53} 2 14 (4 marks)
23: — y = —8
Solve the s stem of e uations $2 _ y = 11 { 5 marks)
' y q a: — 4y 2 11 . The supply and demand equations for a certain product are supply: 1) = (q + 5)2 demand: p = 440 — %q


Where p is the price per unit and q is the number of units sold per month.
(a) Sketch a graph showing the break-even point. (2 marks)
(b) Find the equilibrium quantity and price (round to 2 decimal
(4 marks)
Chapter 4 9. Suppose $4000 is invested for 3 years at 6% compounded monthly. (a) Find the accumulated amount. (3 marks)
(b) Find the amount of interest earned in part (a). (I mark)
10. Evaluate: (3 marks)
(a) logs 64
(b) log; 64
(c) log2 64
11. Simplify by writing as a single logarithm: (4 marks) 3(4loga: +2logy) — 4logz 12. Solve for as: (3 marks) log5 125 = 3m + 2 13. Solve for as: (4 marks) log(:r — 3) + log(x — 5) = 1

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