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1. If 7 times a number is 84, what is 4 times the number?
A. 16B. 28C. 48D. 52E. 56
2. A painter drains 4 gallons of turpentine from a full 16-gallon jug. What percent of the turpentine remains in the jug?
A. 33%B. 45%C. 50%D. 67%E. 75%
3. If each number in the following sum were increased by t, the new sum would be 4.22. What is the value of t ?
A. 0.24B. 0.29C. 0.33D. 0.37E. 0.43
In the figure above, ?ACE is equilateral, and B, D, and F are the midpoints of , , and , respectively. If the area of ?ACE is 24, what is the area of the shaded region?
A. 4B. 6C. 8D. 12E. 16
5. If , and , what is the value of p ?
A. –4B. -C. 0D. E. 4
6. When 23 is divided by 3, the remainder is x. What is the remainder when 23 is divided by 2x ?
A. 1B. 2C. 3D. 4E. 5
7. A monthly Internet service costs d dollars for the first 10 hours, and e dollars per hour for each hour after the first 10. Which of the following could represent the cost of the service, if h represents the total number of hours the service was used this month?
A. d + e(h – 10)B. d + 10ehC. eh + 10dD. eh(d – 10)E. h(d + 10e)
The graph of y = f(x) is shown above. Which of the following could be the equation for f(x) ?
A. f(x) = 2xB. f(x) = x2C. f(x) = 2x2D. f(x) = x - 2E. f(x) = |2x|
9. A bookcase with 6 shelves has 20 books on the top shelf and 30 books on each of the remaining shelves. How many books are there on all 6 shelves of the bookcase?
A. 120B. 130C. 150D. 160E. 170
10. If a + b = 14, b = , and c = 24, then a =
A. 4B. 6C. 8D. 10E. 12
11. A pack of 10 baseball cards costs $3. A pack of 12 basketball cards costs $3. If Karim spends $15 on packs of one type of card, then at most how many more basketball cards than baseball cards could he purchase?
A. 5B. 10C. 12D. 15E. 18
12. A fleet of 5 trucks must make deliveries. Each truck is loaded with k cartons. Each carton contains 60 boxes. If there are a total of 900 boxes, what is the value of k ?
A. 3B. 5C. 7D. 9E. 10
13. If 35% of p is equal to 700, what is 40% of p ?
A. 98B. 245C. 280D. 800E. 2,000
14. The total cost to hold a party at a banquet hall is the result when the product of the number of guests and the cost of food per person is added to the product of the hourly cost to rent the hall and the number of hours the party will last. One hundred guests have been invited, the food costs a total of $200, and the hall charges $50 per hour. To save money, the organizers would like to reduce the length of the party from 4 hours to 2 hours. How much money would the organizers save by reducing the length of the party?
A. $400B. $300C. $200D. $100E. The price will not change.
15. If a – b = 119 and a – b = 7, what is the value of a ?
A. 5B. 12C. 14D. 17E. 21
A. B. C. D. E.
17. At a track meet, Brian jumped a distance of 14 feet, 9 inches. If Mike jumped exactly 2 feet farther than Brian, how far did Mike jump?(1 foot = 12 inches.)
A. 17 feet, 6 inchesB. 17 feet, 5 inchesC. 17 feet, 3 inchesD. 17 feet, 2 inchesE. 17 feet, 1 inch
Based on the chart above, which of the following could express the relationship between x and y ?
A. y = x – 4B. y = x – 2C. y = 2x – 1D. y = 2x + 2E. y = 3x – 3
Based on the figure above, which of the following expressions is equal to b ?
A. a – cB. 180 – (a + c)C. (a + c) – 90D. (a + c) – 180E. 360 – (a + c)
20. If 12(10m + 8)(6m + 4)(2m) = 0, then how many different possible values of m exist?
A. OneB. TwoC. ThreeD. FourE. Five
In a certain game, a red marble and a blue marble are dropped into a box with five equally-sized sections, as shown above. If each marble lands in a different section of the box, how many different arrangements of the two marbles are possible?
A. 5B. 20C. 25D. 40E. 100
22. If a square lies completely within a circle, which of the following must be true?
I. The radius of the circle is equal in length to one side of the square.
II. The area of the square is less than the area of the circle.
III. All four corners of the square touch the circle.
A. I onlyB. II onlyC. I and II onlyD. II and III onlyE. I, II, and III
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