【GRE考满分题库检索】GRE 题目搜索_数学

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题目列表

题目内容
a < 0 The operation △ is defined by $$n^{△}$$=$$(n-1)^{2}$$ for all numbers n. Quantity A $$\frac{(a+1)^{△}}{a^{2}}$$ Quantity B 1
$$n^{∇}$$=$$(n+1)^{2}$$ Quantity A $$\frac{(a-1)^{∇}}{a^{2}}$$ Quantity B 1
The operation a¤b is defined for all numbers a and b by a¤b=a+3b+6. If c¤c=c, what is the value of c?
The operation  is defined by r s=12 $$r^{-1}$$(s+3) for all positive numbers r and s. If x 3=18, what is the value of x?
$$k^{θ}$$ represents the largest integer less than k. Quantity A $$8^{θ}$$+$$3.5^{θ}$$+$$(-6)^{θ}$$ Quantity B 3
The operation @ is defined by a@b=3a-2b for all integers a and b. If x and y are two integers such that x@y=17, which of the following could be the value of y?
x⭕️ y=$$\frac{1}{x}$$+$$\frac{1}{y}$$ Which of the following statements must be true? (m and h are both positive integers) Indicate all such statements.
The operation is defined by x✸y=$$\frac{x^{2}}{y}$$+$$\frac{x}{y}$$ for all numbers $$x$$ and $$y$$, where $$y \neq 0$$. What is the value of $$(9✸ (-9))+((-9) ✸9)$$?
In the xy-plane, the equation of line RS is y=x-3 Quantity A The area of triangular region RST Quantity B 40
R and T are two different points in the xy-plane. The coordinates of R are (4, 5), and the slope of the line containing R and T is 3. Quantity A The x-coordinate of T Quantity B 2
Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)
In the xy-plane, the point (t, 5t-5) lies on the line with equation y=$$\frac{1}{2}$$ x-$$\frac{2}{3}$$ . What is the value of t? Give your answer as a fraction.
Which of the following best represents the graph of the equation $$y-5x+4=0$$ in the xy-plane?
In the rectangular coordinate system, point P has coordinates (-2,1) and a point Q has coordinates (3,6). Quantity A The slope of line l Quantity B 1
Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. $$S$$ is the set of all possible slopes of line segments $$PQ$$, where point $$P$$ is in region I and point $$Q$$ is in region II. Quantity A The greatest member of set $$S$$ Quantity B $$\frac{4}{3}$$
The side of square A and B is 1. Quantity A The greatest possible slope when drawing a line through one vertex of each square Quantity B $$\frac{4}{3}$$
In the rectangular coordinate system, a certain line has slope 3. Which of the following pairs of points could be on the line?
Lines $$k$$ and $$l$$ lie in the xy-plane and are parallel. Quantity A $$a$$ Quantity B $$b$$
In the xy-plane, a line that has a slope of -3 passes through the points (3, k) and (-2, m). Quantity A k-m Quantity B -15
In a rectangular coordinate system, a line passes through point A (3,4) and point B (r,t) where r≠3. Quantity A: The slope of the line Quantity B: $$\frac{4}{3}$$