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Line $k$ is defined by $y=-\frac{17}{3}x+5$. Line $j$ is perpendicular to line $k$ in the xy-plane. What is the slope of line $j$?

A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is $\left(k-5,b\right)$, where $k$ and $b$ are constants. What is the value of $b$?

If satisfies the system of equations above, what is the value of y ?

The system of equations above has solution (x, y). What is the value of x ?

The total cost $f\left(x\right)$, in dollars, to lease a car for $36$ months from a particular car dealership is given by $f\left(x\right)=36x+\mathrm{1,000}$, where $x$ is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $\$400$?

The graph of the equation is a line in the xy-plane, where a and k are constants. If the line contains the points and , what is the value of k ?

$\frac{3}{2}y-\frac{1}{4}x=\frac{2}{3}-\frac{3}{2}y$

$\frac{1}{2}x+\frac{3}{2}=py+\frac{9}{2}$

In the given system of equations, $p$ is a constant. If the system has no solution, what is the value of $p$?

A window repair specialist charges $\$220$ for the first two hours of repair plus an hourly fee for each additional hour. The total cost for $5$ hours of repair is $\$400$. Which function $f$ gives the total cost, in dollars, for $x$ hours of repair, where $x\ge 2$?

Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

The function $h$ is defined by $h\left(x\right)=4x+28$. The graph of $y=h\left(x\right)$ in the xy-plane has an x-intercept at $\left(a,0\right)$ and a y-intercept at $\left(0,b\right)$, where $a$ and $b$ are constants. What is the value of $a+b$?

For line $h$, the table shows three values of $x$ and their corresponding values of $y$. Line $k$ is the result of translating line $h$ down $5$ units in the xy-plane. What is the x-intercept of line $k$?

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the demand was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?

A certain apprentice has enrolled in $85$ hours of training courses. The equation $10x+15y=85$ represents this situation, where $x$ is the number of on-site training courses and $y$ is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course?

Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for $86, and Sofia purchased 3 shirts and 5 pairs of pants for $166. Which of the following systems of linear equations represents the situation, if x represents the price, in dollars, of each shirt and y represents the price, in dollars, of each pair of pants?

A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled $\mathrm{1,277.94}$ dollars last month. The equation $5.48x+7.30y=\mathrm{1,277.94}$ represents this situation, where $x$ is the number of smaller containers sold and $y$ is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?

Line $k$ is defined by $y=3x+15$. Line $j$ is perpendicular to line $k$ in the xy-plane. What is the slope of line $j$?

The point $(8,2)$ in the xy-plane is a solution to which of the following systems of inequalities?

$5x=15$

$-4x+y=-2$

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

The cost of renting a backhoe for up to $10$ days is $\$270$ for the first day and $\$135$ for each additional day. Which of the following equations gives the cost $y$, in dollars, of renting the backhoe for $x$ days, where $x$ is a positive integer and $x\le 10$?

What value of $p$ satisfies the equation $5p+180=250$?

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?

The graph of a system of linear equations is shown. What is the solution $\left(x,y\right)$ to the system?

Line $p$ is defined by $4y+8x=6$. Line $r$ is perpendicular to line $p$ in the xy-plane. What is the slope of line $r$?