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Which choice completes the text with the most logical and precise word or phrase?

Which choice best states the main purpose of the text?

A circle in the xy-plane has its center at $\left(-5,2\right)$ and has a radius of $9$. An equation of this circle is $x^2+y^2+ax+by+c=0$, where $a$, $b$, and $c$ are constants. What is the value of $c$?

Near the end of a US cable news show, the host invited viewers to respond to a poll on the show’s website that asked, “Do you support the new federal policy discussed during the show?” At the end of the show, the host reported that 28% responded “Yes,” and 70% responded “No.” Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?

Which choice most logically completes the text?

$5x+7y=1$

$ax+by=1$

In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

To the nearest tenth of a percent, what percent of states with a state-level sales tax do not have a state-level income tax?

In the xy-plane, the graph of intersects the graph of at the points and . What is the value of a ?

Which choice most logically completes the text?

A business owner plans to purchase the same model of chair for each of the $81$ employees. The total budget to spend on these chairs is $\$\mathrm{14,000}$, which includes a $7\%$ sales tax. Which of the following is closest to the maximum possible price per chair, before sales tax, the business owner could pay based on this budget?

$5G+45R=380$

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won $G$ green tokens and $R$ red tokens worth a total of $380$ points. The given equation represents this situation. How many more points is a red token worth than a green token?

Which expression is equivalent to $\frac{y+12}{x-8}+\frac{y\left(x-8\right)}{x^{2}y-8xy}$?

One of the factors of $2x^3+42x^2+208x$ is $x+b$, where $b$ is a positive constant. What is the smallest possible value of $b$?

Which choice completes the text so that it conforms to the conventions of Standard English?

The function $h$ is defined by $h\left(x\right)=a^x+b$, where $a$ and $b$ are positive constants. The graph of $y=h\left(x\right)$ in the $xy$-plane passes through the points ($0$, $10$) and ($-2$, $\frac{325}{36}$). What is the value of $ab$?

The length of a rectangle’s diagonal is $3\sqrt{17}$, and the length of the rectangle’s shorter side is $3$. What is the length of the rectangle’s longer side?

The table shows three values of $x$ and their corresponding values of $y$, where $y=f\left(x\right)+4$ and $f$ is a quadratic function. What is the y-coordinate of the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

Store A sells raspberries for $\$5.50$ per pint and blackberries for $\$3.00$ per pint. Store B sells raspberries for $\$6.50$ per pint and blackberries for $\$8.00$ per pint. A certain purchase of raspberries and blackberries would cost $\$37.00$ at Store A or $\$66.00$ at Store B. How many pints of blackberries are in this purchase?

The equation $x^2+{\left(y-2\right)}^2=36$ represents circle A. Circle B is obtained by shifting circle A down $4$ units in the xy-plane. Which of the following equations represents circle B?

The table above shows some values of x and their corresponding values for the linear function f. What is the x-intercept of the graph of in the xy-plane?

Data set A consists of the heights of $75$ objects and has a mean of $25$ meters. Data set B consists of the heights of $50$ objects and has a mean of $65$ meters. Data set C consists of the heights of the $125$ objects from data sets A and B. What is the mean, in meters, of data set C?

Which choice completes the text so that it conforms to the conventions of Standard English?

Two identical rectangular prisms each have a height of $90 \text{centimeters} \left(\text{cm}\right)$. The base of each prism is a square, and the surface area of each prism is $K {\text{cm}}^2$. If the prisms are glued together along a square base, the resulting prism has a surface area of $\frac{92}{47}K {\text{cm}}^2$. What is the side length, in $\text{cm}$, of each square base?

Data set F consists of $55$ integers between $170$ and $290$. Data set G consists of all the integers in data set F as well as the integer $10$. Which of the following must be less for data set F than for data set G?

1. The mean
2. The median

Which quotation from the interviews best illustrates the journalist’s claim?