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Research indicates that many people hold (i)_____ views about government, believing that elected officials should be able to overcome differences and get things done while also regarding a willingness to compromise as a sign of (ii)_____.
At one time researchers viewed the placebo effect as (i)_____, a statistical (ii)_____ faced by those attempting an objective evaluation of the efficacy of potentially legitimate therapies. That view has changed: the placebo effect is today seen as an important part of the healing process.
It is commonly said that each person's aesthetic taste is ______, yet that notion overlooks a large body of shared aesthetic preferences.
In spite of being one of the world's biggest _____ of fossil fuels, the firm has made some environmentally responsible investments.
It is rare for a prominent member of the company to leave without some ____. Smith, who resigned with civility, is an exception.
Greg's weekly salary is $187, which is 15 percent less than Karla's weekly salary. If Karla's weekly salary increases by 10 percent,by what percent must Greg's weekly salary increase in order to equal Karla's new weekly salary?

Give your answer to the nearest tenth of a percent.
In the rectangular coordinate system, $$(x, y)$$ is a point on a circle that has center $$(3,2)$$ and is tangent to the x-axis at $$(3, 0)$$.

Quantity A

The least possible value of $$x$$

Quantity B

0




The thin rectangular sheet of metal shown in the figure is 8 inches wide and $$x$$ inches long. An open box is to be made by cutting a 2-inch square from each corner of the sheet of metal and then folding up the sides. If the volume of the box is to be 48 cubic inches, what is the value of $$x$$ ?
A certain brand of dishwashing liquid was sold in two different bottle sizes. The small bottle was sold with $$\frac{2}{5}$$ as many ounces of liquid as the large bottle and was sold at a price that was $$\frac{1}{2}$$ the price of the large bottle.

Quantity A

The price per ounce of the liquid in the small bottle

Quantity B

The price per ounce of the liquid in the large bottle




The functions $$f$$ and $$g$$ are defined by $$f(x)=|2x+1|$$ and $$g(x)=3$$ for all numbers $$x$$. What is the least value of $$c$$ for which $$f(c)=g(c)$$?
$$\frac{1}{2}$$ < r < 1

Quantity A

2r

Quantity B

$$\frac{1}{r}$$


If $$x \lt y$$, which of the following must be true?
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P ?
In the xy-plane, C and D are circles centered at the origin with radii $$\sqrt{17}$$ and $$\sqrt{5}$$, respectively.

Quantity A

The number of points (a, b) on circle C where both a and b are integers

Quantity B

The number of points (a, b) on circle D where both a and b are integers


In this single volume, Kenny aims to survey for the general reader all of ancient philosophy; understandably, space in such a book is (i)_____, and he is not to be faulted for minor omissions. However, Kenny would have added significantly to his book's value had he more effectively (ii)_____ the influence of ancient philosophy on the subsequent tradition. As it is, newcomers to the subject will have little (iii)_____ the afterlife enjoyed by ancient philosophy in the period 1600-1750.


In a survey, 130 people were asked how many movies they had seen in the preceding year. Their responses varied from 0 to 30 movies. The graphs above show two different summaries of the same survey results. How many people responded that they had seen 11 or 12 movies?
If $$n$$ is a multiple of $$7$$ and $$n=s^2t$$,where $$s$$ and $$t$$ are each prime numbers, which of the following expressions must be a multiple of $$49$$?
If $$p$$ is an odd integer,and if $$5$$ is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by $$5$$?

Indicate all such numbers.
If $$0 \lt r \lt t$$ and $$r=50-t$$, then what is the greatest possible value of the median of $$r$$, $$t$$, and $$28$$?
A student attended 3 tests with every score is an integer between 0 and 100(inclusive), and the average score of the 3 scores is 75. What is the greatest possible range between the3 scores?

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