PS-OG：第444-464题 练习册详情

1

2x + 2y = -4

4x + y = 1

In the system of equations above, what is the value of x?

• -3
• -1
• $$\frac{2}{5}$$
• 1
• 1$$\frac{3}{4}$$

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2

What is the thousandths digit in the decimal equivalent of $$\frac{53}{5,000}$$?

• 0
• 1
• 3
• 5
• 6

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3

What is the value of $$x^{2}yz - xyz^{2}$$, if x = -2, y = 1, and z = 3?

• 20
• 24
• 30
• 32
• 48

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4

Half of a large pizza is cut into 4 equal-sized pieces, and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?

• $$\frac{5}{12}$$
• $$\frac{13}{24}$$
• $$\frac{7}{12}$$
• $$\frac{2}{3}$$
• $$\frac{17}{24}$$

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5

A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)

• 1
• 2
• 4
• 6
• 7

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6

A certain fishing boat is chartered by 6 people who are to contribute equally to the total charter cost of $480. If each person contributes equally to a $150 down payment, how much of the charter cost will each person still owe?

• $80
• $66
• $55
• $50
• $45

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7

Which of the following represent positive numbers?

I. -3 - (-5)

II. (-3)(-5)

III. -5 - (-3)

• I only
• II only
• III only
• I and II
• II and III

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8

In the figure above, if F is a point on the line that bisects angle ACD and the measure of angle DCF is x°, which of the following is true of x?

• 90 ≤ x < 100
• 100 ≤ x < 110
• 110 ≤ x < 120
• 120 ≤ x < 130
• 130 ≤ x < 140

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9

A certain financial institution reported that its assets totaled $2,377,366.30 on a certain day. Of this amount, $31,724.54 was held in cash. Approximately what percent of the reported assets was held in cash on that day?

• 0.00013%
• 0.0013%
• 0.013%
• 0.13%
• 1.3%

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10

$$3r \leq 4s + 5$$

$$|s| \leq 5$$

Given the inequalities above, which of the following CANNOT be the value of r ?

• –20
• –5
• 0
• 5
• 20

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11

What is the value of $$2x^{2} ‒ 2.4x ‒ 1.7$$ for x = 0.7 ?

• –0.72
• –1.42
• –1.98
• –2.40
• –2.89

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12

If $$x \neq 2$$, then $${3x^{2}(x-2)-x+2}\over{x-2}$$=

• $$3x^{2} - x + 2$$
• $$3x^{2} + 1$$
• $$3x^{2}$$
• $$3x^{2} - 1$$
• $$3x^{2} - 2$$

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13

If x = -|w|, which of the following must be true?

• x = –w
• x = w
• $$x^{2} = w$$
• $$x^{2} = w^{2}$$
• $$x^{3} = w^{3}$$

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14

What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)

• 3
• 4
• 5
• 6
• 7

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15

On the number line, the shaded interval is the graph of which of the following inequalities?

• |x|≤4
• |x|≤8
• |x-2|≤4
• |x-2|≤6
• |x+2|≤6

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16

For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d feet from the source is given by the formula $$ S = \frac{60K}{d^{2}}$$, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?

• $$\frac{3}{10}$$candle
• $$\frac{1}{2}$$candle
• 1 candle
• 2 candles
• 3 candles

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17

In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x + y =

• 3.5
• 7
• 8
• 10
• 14

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18

One inlet pipe fills an empty tank in 5 hours. A second inlet pipe fills the same tank in 3 hours. If both pipes are used together, how long will it take to fill $$\frac{2}{3}$$of the tank?

• $$\frac{8}{15}hr$$
• $$\frac{3}{4}hr$$
• $$\frac{5}{4}hr$$
• $$\frac{15}{8}hr$$
• $$\frac{8}{3}hr$$

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19

Last year Department Store X had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

• $$\frac{1}{4}$$
• $$\frac{4}{15}$$
• $$\frac{1}{3}$$
• $$\frac{4}{11}$$
• $$\frac{4}{5}$$

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20

If x and y are integers such that $$2 < x \le 8$$ and $$2 < y \le 9$$, what is the maximum value of $$\frac{1}{x} - \frac{x}{y}$$?

• $$3\frac{1}{8}$$
• 0
• $$\frac{1}{4}$$
• $$\frac{5}{18}$$
• 2

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