197
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For all x, the expression $$x^{*}$$ is defined to be ax + a, where a is a constant. What is the value of $$2^{*}?$$(1) $$3^{*} = 2$$ (2) $$5^{*} = 3$$
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198
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Is k + m < 0?(1) k <0(2) km >0
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199
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A retailer purchased a television set for x percent less than its list price, and then sold it for y percent less than its list price. What was the list price of the television set?(1) x = 15(2) x - y = 5
|
200
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If x and y are positive, is xy > x +y?(1) x < y(2) 2 < x
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201
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What is the ratio of c to d?(1) The ratio of 3c to 3d is 3 to 4.(2) The ratio of c +3 to d + 3 is 4 to 5
|
202
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A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?(1) If each of the salespeople sells 4 of the cars, 23 cars will remain unsold.(2) If each of the salespeople sells 6 of the cars, 5 cars will remain unsold.
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203
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A candle company determines that, for a certain specialty candle, the supply function is p = $$m_{1}x + b_{1} $$and the demand function is p = $$m_{2}x + b_{2} $$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_{1}, m_{2}, b_{1}, and b_{2}$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?(1) $$m_{1} = -m _{2} = 0.005$$ (2) $$b_{2} - b_{1} =6$$
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204
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Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?(1) There are 80 more Brand X computers than Brand Y computers at the company.(2) There is a total of 880 computers at the company.
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205
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In the figure shown, lines k and m are parallel to each other, Is x = z?(1) x = w(2)y = 180 - w
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206
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When the wind speed is 9 miles per hour, the wind-chill factor w is given by w = -17.366 + 1.19t, where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.
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207
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What is the volume of the cube above?(1)The surface area of the cube is 600 square inches.(2)The length of diagonal AB is $${10}\sqrt3$$ inches.
|
208
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Of the 230 single-family homes built in City X last year, how many were occupied at the end of the year?(1) Of all single- family homes in City X, 90 percent were occupied at the end of last year.(2) A total of 7,200 single-family homes in City X were occupied at the end of last year.
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209
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In the figure shown, quadrilateral ABCD is inscribed in a circle of radius 5. What is the perimeter of quadrilateral ABCD?(1) The length of AB is 6 and the length of CD is 8.(2) AC is a diameter of the circle.
|
210
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If x is a positive integer, what is the value of x?(1) $$x^{2} =\sqrt{x}$$(2) $$\frac{n}{x}=n$$ and $$n \neq 0$$.
|
211
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Is the median of the five numbers a, b, c, d, and e equal to d?(1) a < c < e(2) b < d < c
|
212
|
During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour?( 1 kilometer = 1,000 meters)(1) Sherry's average speed during the bicycle ride was faster than 7 meters per second.(2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.
|
213
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If x and y are integers, what is the value of x?(1) xy = 1(2) $$x\neq - 1$$
|
214
|
If p, s, and t are positive, is |ps - pt| > p(s - t)?(1) p < s(2) s < t
|
215
|
Is x > y?(1) x + y > x - y(2) 3x > 2y
|
216
|
In the figure above, $$\overline{AB}$$, which has length z cm, is tangent to the circle at point A , and $$\overline{BD}$$, which has length y cm, intersects the circle at point C. If BC = x cm and $$z = \sqrt{xy}$$, what is the value of x?(1) CD = x cm(2) $$z = 5\sqrt{2}$$
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