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Question 1 of 8

1. Question
Question 1:

A research group consists of biologists, physicists, chemists, and engineers. It contains twice as many chemists as physicists, 5 times as many engineers as biologists, and the same number of physicists as engineers. If there is one biologist in the group, how many of each of the other kinds of researchers is in the group?
- A. 5 Physicists, 10 Chemists, and 5 Engineers
- B. 5 Physicists, 10 Chemists, and 1 Engineer
- C. 5 Physicists, 2 Chemists, and 5 Engineers
- D. 5 Physicists, 2 Chemists, and 1 Engineer
- E. 1 Physicist, 2 Chemists, and 1 Engineer
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Question 2 of 8

2. Question
Question 2:

In the standard (x, y) coordinate plane what is the slope of the line with equation 3y – 6x = 4?
- A. 2
- B. 3
- C. -6
- D. 6
- E. -2
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Question 3 of 8

3. Question
Question 3:

In the figure, points K, Q, P and N are collinear, and distances marked are in meters. The area of rectangle KLMN is 66 square meters. What is the area of trapezoid LQPM, in square meters?
- A. 36
- B. 42
- C. 48
- D. 54
- E. 96
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Question 4 of 8

4. Question
Question 4:

What is the largest integer value of n that satisfies the inequality 11/15 > n/11
- A. 6
- B. 7
- C. 8
- D. 9
- E. 10
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Question 5 of 8

5. Question
Question 5:

Given f(x) = x² – x + 2, what is f(x + h)?
- A.
  x² – x + h + 2
- B.
  x² + h² – (x + h) + 2
- C.
  x² + h² – (x + h) + 4
- D.
  (x + h)² – (x + h) + 2
- E.
  (x + h)² – x – 2h + 2
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Question 6 of 8

6. Question
Question 6:

Which of the following expression gives the area, in square inches, of triangle FGH, shown below with the given side lengths in inches?
- A. 30 cos 55º
- B. 30 sin 55º
- C. 15 cos 55º
- D. 15 sin 55º
- E. 15 tan 55º
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Question 7 of 8

7. Question
Question 7:
1. If (c-d)/d = 8/11, what must also be true?
- A. c/d = -3/11
- B. c/d = 19/11
- C. (c + d)/d = 11/19
- D. (c + 2d)/d = 19/11
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Question 8 of 8

8. Question
Question 8:

Which of the following equation represents a line that is parallel to the line with equation y = -(5/4)x + 8?
- A. 4y – 5x = 4
- B. 15y – 15 = 4x
- C. 5y + 4x = 8
- D. 8y = -10x – 3
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Math 45

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