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Rectangle A has length 15 and width w. Rectangle B has length 20 and the same length-to-width ratio as rectangle A. What is the width of rectangle B in terms of w ?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio ?

Which of the following graphs in the xy-plane could be used to solve the system of equations above?

The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?

The function $f$ is defined by $f\left(x\right)=7x-84$. What is the x-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

The student wants to introduce the scientist and her field of study to a new audience. Which choice most effectively uses relevant information from the notes to accomplish this goal?

The table shows four values of $x$ and their corresponding values of $f\left(x\right)$. There is a linear relationship between $x$ and $f\left(x\right)$ that is defined by the equation $f\left(x\right)=mx-28$, where $m$ is a constant. What is the value of $m$?

Which choice most logically completes the text?

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

$y=-\frac{1}{9}x$

$y=\frac{1}{2}x$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x$?

Which choice most logically completes the text?

$14j+5k=m$

The given equation relates the numbers $j$, $k$, and $m$. Which equation correctly expresses $k$ in terms of $j$ and $m$?

$f\left(x\right)=\left(x+6\right)\left(x-4\right)$

If the given function $f$ is graphed in the xy-plane, where $y=f\left(x\right)$, what is the x-coordinate of an x-intercept of the graph?

Each vertex of a $14$-sided polygon is labeled with one of the $14$ letters $A$ through $N$, with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter $D$ will be at the selected vertex? (Express your answer as a decimal or fraction, not as a percent.)

Which quotation from “Mr. Cornelius Johnson, Office-Seeker” most effectively illustrates the claim?

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

The student wants to emphasize a similarity in how critics responded to Treuer’s book. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Which expression represents the result of increasing a positive quantity $w$ by $43\%$?

The graph of the function $f$, where $y=f(x)$, gives the total cost $y$, in dollars, for a certain video game system and $x$ games. What is the best interpretation of the slope of the graph in this context?

Which choice best describes data from the graph that weaken the student’s conclusion?

A bus traveled on the highway and on local roads to complete a trip of $160 \text{miles}$. The trip took $4 \text{hours}$. The bus traveled at an average speed of $55 \text{miles} \text{per} \text{hour} \left(\text{mph}\right)$ on the highway and an average speed of $25 \text{mph}$ on local roads. If $x$ is the time, in hours, the bus traveled on the highway and $y$ is the time, in hours, it traveled on local roads, which system of equations represents this situation?

Which choice most logically completes the text?

$-4x^2-7x=-36$

What is the positive solution to the given equation?

On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If , what is the value of y ?

Immanuel purchased a certain rare coin on January 1. The function $f\left(x\right)=65{\left(1.03\right)}^x$, where $0\le x\le 10$, gives the predicted value, in dollars, of the rare coin $x$ years after Immanuel purchased it. What is the best interpretation of the statement “$f\left(8\right)$ is approximately equal to $82$” in this context?