Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

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

One pound of grapes costs $\$2$. At this rate, how many dollars will $c$ pounds of grapes cost?

Which of the following is equivalent to $4x+6=12$?

A salesperson's total earnings consist of a base salary of $\bm{x}$ dollars per year, plus commission earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales $\bm{s}$, in dollars, the salesperson can make this year in order to meet that goal?

$$y=-\frac{1}{9}\,x \\ y=\frac{1}{2}\,x$$

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

$x=10$
$y=x+21$

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

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

$\dfrac{4x}{5}=20$

In the equation above, what is the value of $x$?

$$F(x)=\frac{9}{5}(x-273.15)+32$$

The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by $9.10$ kelvins, by how much did the temperature increase, in degrees Fahrenheit?

An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a total of 46.1 minutes preparing $\bm{x}$ sandwiches and $\bm{y}$ salads. Which equation represents this situation?

$y=2x+10$

$y=2x-1$

At how many points do the graphs of the given equations intersect in the $xy$-plane?

A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, $y$, that remains to be moved $x$ hours after the team started working.

$y=120-25x$

The graph of this equation in the $xy$-plane is a line. What is the best interpretation of the $x$-intercept in this context?

$y\leq x+7$

$y\geq-2x-1$

Which point $(x,y)$ is a solution to the given system of inequalities in the $xy$-plane?

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

How many solutions does the equation $10(15x-9)=-15(6-10x)$ have?

A bakery sells trays of cookies. Each tray contains at least 50 cookies but no more than 60. Which of the following could be the total number of cookies on 4 trays of cookies?

The equation $y=0.1x$ models the relationship between the number of different pieces of music a certain pianist practices, $y$, during an $x$-minute practice session. How many pieces did the pianist practice if the session lasted 30 minutes?

On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under 220 miles. Rhett drove at an average speed of 35 miles per hour (mph), and Jessica drove at an average speed of 40 mph. Which of the following inequalities represents this situation, where $r$ is the number of hours Rhett drove and $j$ is the number of hours Jessica drove?

A total of 364 paper straws of equal length were used to construct two types of polygons: triangles and rectangles. The triangles and rectangles were constructed so that no two polygons had a common side. The equation $3x+4y=364$ represents this situation, where $x$ is the number of triangles constructed and $y$ is the number of rectangles constructed. What is the best interpretation of $(x,y)=(24,73)$ in this context?

$(b-2)x=8$

In the given equation, $b$ is a constant. If the equation has no solution, what is the value of $b$ ?

A machine makes large boxes or small boxes, one at a time, for a total of 700 minutes each day. It takes the machine 10 minutes to make a large box or 5 minutes to make a small box. Which equation represents the possible number of large boxes, $x$, and small boxes, $y$, the machine can make each day?

$2n+6=14$

A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years $n$ it took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context?

Line $t$ in the $xy$-plane has a slope of $-\frac{1}{3}$ and passes through the point $(9,10)$. Which equation defines line $t$?

$y\leq x$

$y\leq-x$

Which of the following ordered pairs $(x,y)$ is a solution to the system of inequalities above?