14. Which of the following is equivalent to h(m + 1) ? (A) g(m) (B) g(m) + l (C) g(m)-1 (D) h(m)+1 (E) h(m)-1
7.Ahmad has containers of two different sizes. The total capacity of 16 containers of-one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and x > 0. In terms of x, what is the capacity, in gallons, of each of the larger containers? (A) 4x (B) 2x (C)x/2 (D)x/8 (E)x/16
18. Let the function f be defined by f(x) = x^2+ 18. If m is a positive number such that f(2m) = 2f(m), what is the value of m ?
19. The cost of maintenance on an automobile increases each year by 10 percent, and Andrew paid S300 this year for maintenance on his automobile. If the cost c for maintenance on Andrew's automobile n years from now is given by the function c(n) = 300x^n, what is the value of x ? (A) 0.1 (B) 0.3 (C) 1.1 (D) 1.3 (E) 30
16.If xy = 7 and x- y = 5. then x^2*y-xy^2= (A) 2 (B) 12 (C) 24 (D) 35 (E) 70
17. Line m (not shown) passes through O and intersects AB between A and B. What is one possible value of the slope of line m ?
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17. If k and h are constants and x^2+kx+7is equivalent to(x + 1)(x + h). what is the value of k ? (A) 0 (B) 1 (C) 7 (D) 8
(E) It cannot be determined from the information given.
(A) 1 (B) 5 (C) 24 (D) 25 (E) 26
16. To celebrate a colleague's graduation, the m coworkers in an office agreed to contribute equally to a catered lunch that costs a total of y dollars. If p of the coworkers fail to contribute, which of the following represents the additional amount, in dollars, that each of the remaining coworkers must contribute to pay for the lunch?
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类型 3
18. In the xy-coordinate plane, the distance between point B(10, 18) and point A(x, 3) is 17. What is one possible value of x ?
16. The pattern shown above is composed of rectangles. This pattern is used repeatedly to completely cover a rectangular region 12L units long and 10L units wide. How many rectangles of dimension L by W are needed? (A) 30 (B) 36
(C) 100 (D) 150 (E) 180
18. In the figure above, AB = BC and DE = EF = DF If the measure of /.ABC is 30° and the measure of /.BDE is 50°, what is the measure of /DFA ? (A) 30° (B) 35° (C) 40° (D) 45° (E) 50°
17. The three-dimensional figure above has two parallel bases and 18 edges. Line segments are to be drawn connecting vertex V with each of the other 11 vertices in the figure. How many of these segments will not lie on an edge of the figure?
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15. In the figure above, what is the sum. in terms of n, of the degree measures of the four angles marked with arrows? (A) n (B) 2n (O 180 - n (D) 360 - n (E) 360 - 2n
16. The figure above consists of two circles that have the same center. If the shaded area is 64pi square inches and the smaller circle has a radius of 6 inches, what is the radius, in inches, of the larger circle?
20. The figures above show the graphs of the functions f and g. The function f is defined by f(x) = x^3 - 4x. The function g is defined by g(x) = f(x + h) + k, where h and k it are constants. What is the value of hk? (A) -6 (B) -3 (C) -2 (D) 3 (E) 6
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15. The cube shown above has edges of length 2, and A and 8 are midpoints of two of the edges. What is the length of AB (not shown) ?
20.In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8. then the perimeter of the shaded region is (A) 8 - 3pi (B) 10+3pi (C) 14+3pi (D) 1 + 6pi (E) 12+6pi
16. In rectangle ABCD, point E is the midpoint of BC. If the area of quadrilateral ABED is 2/3, what is the area of rectangle ABCD ? (A)1/2 (B) 3/4 (C) 8/9 (D)
1 (E)8/3
8.Rectangle ABCD lies in the xy -coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD ? (A) -2 (B) -1 (C)0 (D) 1 (E) 2
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