sat-dog

The rational function $f$ is defined by an equation in the form $f\left(x\right)=\frac{a}{x+b}$, where $a$ and $b$ are constants. The partial graph of $y=f\left(x\right)$ is shown. If  $g\left(x\right)=f\left(x+4\right)$, which equation could define function $g$?

A certain park has an area of $\mathrm{11,863,808}$ square yards. What is the area, in square miles, of this park? $\left(1 \text{mile}=\mathrm{1,760} \text{yards}\right)$

$f\left(x\right)=\left(x-10\right)\left(x+13\right)$

The function $f$ is defined by the given equation. For what value of $x$ does $f\left(x\right)$ reach its minimum?

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

In the figure above, and . What is the length of ?

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

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

For the function $q$, the value of $q\left(x\right)$ decreases by $45\%$ for every increase in the value of $x$ by $1$. If $q\left(0\right)=14$, which equation defines $q$?

In the xy-plane, the graph of the equation $y=-x^2+9x-100$ intersects the line $y=c$ at exactly one point. What is the value of $c$?

Which choice best states the main idea of the text?

Triangles $\text{A}\text{B}\text{C}$ and $\text{D}\text{E}\text{F}$ are similar. Each side length of triangle $\text{A}\text{B}\text{C}$ is $4$ times the corresponding side length of triangle $\text{D}\text{E}\text{F}$. The area of triangle $\text{A}\text{B}\text{C}$ is $270$ square inches. What is the area, in square inches, of triangle $\text{D}\text{E}\text{F}$?

Two variables, $x$ and $y$, are related such that for each increase of $1$ in the value of $x$, the value of $y$ increases by a factor of $4$. When $x=0$, $y=200$. Which equation represents this relationship?

The number $a$ is $60\%$ greater than the positive number $b$. The number $c$ is $45\%$ less than $a$. The number $c$ is how many times $b$?

Which finding, if true, would most strongly support the scholar’s claim?

The value of a collectible comic book increased by $167\%$ from the end of $2011$ to the end of $2012$ and then decreased by $16\%$ from the end of $2012$ to the end of $2013$. What was the net percentage increase in the value of the collectible comic book from the end of $2011$ to the end of $2013$?

Which choice most logically completes the text?

If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?

Which finding from Granito and Álvarez’s research, if true, would most directly support their claim?

What is the minimum value of the function f defined by  ?

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

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

If a new graph of three linear equations is created using the system of equations shown and the equation $x+4y=-16$, how many solutions $\left(x,y\right)$ will the resulting system of three equations have?

Let the function p be defined as , where c is a constant. If , what is the value of ?

Based on the texts, how would the author of Text 2 most likely respond to the researchers’ perspective in Text 1 on the behavior of the magpies without trackers?

Which choice best describes the function of the underlined sentence in the text as a whole?