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Question:
Which of the following is a factored form of the expression 6x² + x - 2?

(a) (3x + 2)(2x - 1)
(b) (2x + 2)(3x - 1)
(c) (3x + 2)(2x + 1)
(d) (3x - 2)(2x - 1)
(e) (2x + 2)(3x - 2)

Answer: 6x² + x - 2 = 6x² + 4x - 3x - 2 = 2x(3x + 2) - (3x + 2) =
= (3x + 2)(2x - 1).

Question: Mr Jones plans to drive 660 miles at an average speed of 60 miles/hour. How many miles per hour faster needs he to average, while driving, to reduce his total time by 1 hour?

(a) 5
(b) 6
(c) 7
(d) 8
(e) 9

• Answer:
  At 60 miles/hour, the trip would take 660/60 = 11 hours. A 10 hours trip would require a speed of 660/10 = 66 miles/hour.
  The answer to the question is 66miles/hour - 60 miles/hour = 6 miles/hour.
  

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• Question: What is the length of side b in the triangle below?
  Figure not drawn to scale
  ?

  (a) 2
  (b) 3
  (c) 4
  (d) 5
  (e) 6

• Answer: sin(30^o) = b/c.
  1/2 = b/c.
  b = 3.

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• Question #6: The parabola in the figure below is described by the equation: x² + bx + c = 0. Which of the following inequalities is true?
  

  (a) b > 0 and 4c < b²
  (b) b > 0 and 4c < b
  (c) b > 0 and 4c > b²
  (d) b < 0 and 4c < b²
  (e) b < 0 and c > 4b²

  • Answer: The coordinates of the vertex of the parabola are
    (-b/2, c - b²/4) .
    From the given graph, both the x and y coordinates of the vertex are negative, so:
    -b/2 < 0 and c - b²/4 < 0
    This means that b > 0 and 4c < b² is the correct answer.

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