The function $g$ is defined by $g(x)=-x+8$. What is the value of $g(0)$?

A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35 pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let $d$ represent the number of containers of detergent, and let $s$ represent the number of containers of fabric softener, where $d$ and $s$ are nonnegative integers. Which of the following systems of inequalities best represents this situation?

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $\$5$. Assuming gasoline costs $\$4$ per gallon, which equation can Alan use to determine how many fewer average miles, $m$, he should drive each week?

$3(2x-6)-11=4(x-3)+6$

If $x$ is the solution to the equation above, what is the value of $x-3$?

$$x+y=75$$

The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number 75 represent?

In North America, the standard width of a parking space is at least 7.5 feet and no more than 9.0 feet. A restaurant owner recently resurfaced the restaurant's parking lot and wants to determine the number of parking spaces, $n$, in the parking lot that could be placed perpendicular to a curb that is 135 feet long, based on the standard width of a parking space. Which of the following describes all the possible values of $n$?

A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $\$5$. The premium ticket, which includes admission and food to give to the animals, costs $\$12$. One Saturday, the petting zoo sold a total of 250 tickets and collected a total of $\$2,300$ from ticket sales. Which of the following systems of equations can be used to find the number of standard tickets, s, and premium tickets, $p$, sold on that Saturday?

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

What is the equation of the line that passes through the point $(0,5)$ and is parallel to the graph of $y=7x+4$ in the $xy$-plane?

$3a+4b=25$

A shipping company charged a customer $\$25$ to ship some small boxes and some large boxes. The equation above represents the relationship between $a$, the number of small boxes, and $b$, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?

The total cost, in dollars, to rent a surfboard consists of a $\$25$ service fee and a $\$10$ per hour rental fee. A person rents a surfboard for $t$ hours and intends to spend a maximum of $\$75$ to rent the surfboard. Which inequality represents this situation?

$$y=x+4$$

Which table gives three values of \(x\) and their corresponding values of \(y\) for the given equation?

Valentina bought two containers of beads. In the first container 30% of the beads are red, and in the second container 70% of the beads are red. Together, the containers have at least 400 red beads. Which inequality shows this relationship, where $x$ is the total number of beads in the first container and $y$ is the total number of beads in the second container?

$$y=3x \\ 2x+y=12$$

The solution to the given system of equations is $(x,y)$. What is the value of $5x$?

John paid a total of $\$165$ for a microscope by making a down payment of $\$37$ plus $p$ monthly payments of $\$16$ each. Which of the following equations represents this situation?

At how many points do the graphs of the equations $y=x+20$ and $y=8x$ intersect in the $xy$-plane?

The number $y$ is 84 less than the number $x$. Which equation represents the relationship between $x$ and $y$?

In the $xy$-plane, the graph of the linear function $f$ contains the points $(0,3)$ and $(7,31)$. Which equation defines $f$, where $y=f(x)$?

A company that provides whale-watching tours takes groups of 21 people at a time. The company's revenue is 80 dollars per adult and 60 dollars per child. If the company's revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?

$f(x)=39$

For the given linear function $f$, which table gives three values of $x$ and their corresponding values of $f(x)$?

$d=16t$

The given equation represents the distance $d$, in inches, where $t$ represents the number of seconds since an object started moving. Which of the following is the best interpretation of 16 in this context?

If $f$ is the function defined by $f(x)=\frac{2x-1}{3}$, what is the value of $f(5)$?

Adam's school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, $w$, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of $w$ for which it would be faster for Adam to walk to school?

Line $p$ is defined by $2y+18x=9$. Line $r$ is perpendicular to line $p$ in the $xy$-plane. What is the slope of line $r$?

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?