sat-dog

The function $f$ is defined by $f\left(x\right)=\frac{x+15}{5}$, and $f\left(a\right)=10$, where $a$ is a constant. What is the value of $a$?

If $2(3t-10)+t=40+4t$, what is the value of $3t$?

If a is the mean and b is the median of nine consecutive integers, what is the value of ?

The student wants to provide an explanation and an example of Aeolian landforms. Which choice most effectively uses relevant information from the notes to accomplish this goal?

The function $f$ is defined by $f\left(x\right)=7x^3$. In the xy-plane, the graph of $y=g\left(x\right)$ is the result of shifting the graph of $y=f\left(x\right)$ down $2$ units. Which equation defines function $g$?

The student wants to emphasize the location of the first synchrotron built to provide synchrotron light. Which choice most effectively uses relevant information from the notes to accomplish this goal?

In above, what is the length of  ?

In the xy-plane, line $k$ passes through the points $\left(0,-5\right)$ and $\left(1,-1\right)$. Which equation defines line $k$?

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

Based on the texts, how would Focarelli and Panetta (Text 2) most likely respond to Fan’s findings (Text 1)?

A solution to the given system of equations is . Which of the following is a possible value of xy ?

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

Which choice completes the text with the most logical transition?

According to Moore’s law, the number of transistors included on microprocessors doubles every 2 years. In 1985, a microprocessor was introduced that had 275,000 transistors. Based on this information, in which of the following years does Moore’s law estimate the number of transistors to reach 1.1 million?

Which choice completes the text with the most logical transition?

The function $f$ is defined by $f\left(x\right)=270{\left(0.1\right)}^x$. What is the value of $f\left(0\right)$?

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

The student wants to emphasize the fossil’s significance. Which choice most effectively uses relevant information from the notes to accomplish this goal?

If a is a solution of the equation above and , what is the value of a ?

A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft³), and the cost per pound, in dollars. Only basalt, granite, and limestone will be used in the garden. The rocks in the garden will have a total weight of 1,000 pounds. If 330 pounds of granite is used, which of the following equations could show the relationship between the amounts, x and y, in ft³, for each of the other rock types used?

If $f\left(x\right)=x+7$ and $g\left(x\right)=7x$, what is the value of $4f\left(2\right)-g\left(2\right)$?

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

A triathlon is a multisport race consisting of three different legs. A triathlon participant completed the cycling leg with an average speed of $19.700$ miles per hour. What was the average speed, in yards per hour, of the participant during the cycling leg? $\left(1 \text{mile}=\mathrm{1,760} \text{yards}\right)$

The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who were at least 50 years old when they first took office, what fraction were at least 60 years old?

The function $f\left(x\right)=206{\left(1.034\right)}^x$ models the value, in dollars, of a certain bank account by the end of each year from $1957$ through $1972$, where $x$ is the number of years after $1957$. Which of the following is the best interpretation of “$f\left(5\right)$ is approximately equal to $243$” in this context?