18 Questions
| Total Attempts: 596

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Questions and Answers

- 1.If x + k = 12 and p(x + k) = 36, what is the value of
*p*?- A.
3

- B.
4

- C.
6

- D.
9

- E.
12

- 2.If 13 is added to one-half of a certain number the result is 37. What is the original number?
- A.
24

- B.
40

- C.
48

- D.
61

- E.
80

- 3.In the figure above, the usual route from Town A to Town D is indicated by the solid line. The broken line indicates a detour route from B to C through E . Each line segment is labeled with its length in miles. How many more miles is the trip from Town A to Town D via the detour than via the usual route?
- A.
4

- B.
8

- C.
10

- D.
12

- E.
18

- 4.Which of the following equations expresses y in terms of x for each of the four pairs of values shown in the table above?
- A.
Y = 5x + 7.5

- B.
Y = 5.5x + 2

- C.
Y = 5.5x + 7.5

- D.
Y = 7.5x

- E.
Y = 7.5x + 5.5

- 5.In the figure above, point B lies on AC. If x and y are integers, which of the following is a possible value of x?
- A.
30

- B.
35

- C.
40

- D.
50

- E.
55

- 6.The least and greatest numbers in a list of 7 real numbers are 2 and 20, respectively. The median of the list is 6, and the number 3 occurs most often in the list. Which of the following could be the average (arithmetic mean) of the numbers in the list? I.7 II. 8.5 III. 10
- A.
I only

- B.
I and II only

- C.
I and III only

- D.
II and III only

- E.
I, II, and III

- 7.In the XY-coordinate plane, how many points are a distance of 4 units from the origin?
- A.
One

- B.
Two

- C.
Three

- D.
Four

- E.
More than four

- 8.The table above shows the number of consecutive nights that each of the five families stayed at a certain hotel during a 14-night period. If the Liu family’s stay did not overlap with the Benton family’s stay, which of the 14 nights could be a night on which the only one of the five families stayed at the hotel?
- A.
The 3rd

- B.
The 5th

- C.
The 6th

- D.
The 8th

- E.
The 10th

- 9.If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?
- 10.If y= h/x, where h is a constant, and if y = 3 when x = 4, what does y equal when x = 6?
- 11.In the figure above, point B lies on side AC. If 55 < x < 60, what is one possible value of y ?
- 12.The price of a certain item was $10 in 1990 and it has gone up by $2 per year since 1990. If this trend continues, in what year will the price be $100?
- 13.The figure above shows the graph of a quadratic function in the xy-plane. Of all the points (x, y) on the graph, for what value of x is the value of y greatest?
- 14.The number n is a 2-digit number. When n is divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. What is the value of n ?
- 15.The area of the figure above is 9/4. What is the perimeter of the figure?
- 16.If j is chosen at random from the set {4, 5, 6} and k is chosen at random from the set {10, 11, 12}, what is the probability that the product of j and k is divisible by 5?
- 17.Tom and Alison are both salespeople. Tom’s weekly compensation consists of $300 plus 20 percent of his sales. Alison’s weekly compensation consists of $200 plus 25 percent of her sales. If they both had the same amount of sales and the same compensation for a particular week, what was that compensation, in dollars?
- 18.Tx + 12y = -3 The equation above is the equation of a line in the XY-plane, and t is a constant. If the slope of the line is -10, what is the value of
*t*?