- 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) 9Answer:
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.
- 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) 6Answer: sin(30o) = b/c.
1/2 = b/c.
b = 3.
- 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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