ShowPer Page
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?
MathAlgebra
$3a+4b=25$<br/><br/>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?
MathAlgebra
The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rental a surfboard for $t$ hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?
MathAlgebra
\(y=x+4\)<br/><br/>Which table gives three values of \(x\) and their corresponding values of \(y\) for the given equation?<br/><br/>\begin{tabular}{c c c} \(A\). & \(x\) & \(y\) \\ \hline<br/>0 & 4 \\ \hline<br/>1 & 5 \\ \hline<br/>2 & 6 \\ \hline B. & \(x\) & \(y\) \\ \hline<br/>0 & 6 \\ \hline<br/>1 & 5 \\ \hline<br/>2 & 4 \\ \hline C. & \(x\) & \(y\) \\ \hline<br/>0 & 2 \\ \hline<br/>1 & 1 \\ \hline<br/>2 & 0 \\ \hline D. & \(x\) & \(y\) \\ \hline<br/>0 & 0 \\
MathAlgebra
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?
MathAlgebra
$y=3x$<br/><br/>$2x+y=12$<br/><br/>The solution to the given system of equations is $(x,y)$. What is the value of $5x$?
MathAlgebra
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?
MathAlgebra
At how many points do the graphs of the equations $y=x+20$ and $y=8x$ intersect in the $xy$-plane?
MathAlgebra
The number $y$ is 84 less than the number $x$.<br/>Which equation represents the relationship between $x$ and $y$?
MathAlgebra
In the $xy$-plane, the graph of the linear function $\bm{f}$ contains the points $(0,3)$ and $(7,31)$. Which equation defines $\bm{f}$, where $y=f(\bm{x})$?
MathAlgebra
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?
MathAlgebra
$\(f(x)=39\)$<br/><br/>For the given linear function \(f\), which table gives three values of \(x\) and their corresponding values of \(f(x)\)?
MathAlgebra
$d=16t$<br/><br/>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?
MathAlgebra
If $f$ is the function defined by $f(x)=\frac{2x-1}{3}$, what is the value of $f(5)$?<br/><br/>\begin{tabular}{l}
MathAlgebra
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?
MathAlgebra
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 $r$?
MathAlgebra
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 $h_{i}$ in feet, of the front of the roller-coaster car $s$ seconds after it starts up the hill?
MathAlgebra
What value of $p$ satisfies the equation $5p+180=250$?
MathAlgebra
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 $x\leq 10$?
MathAlgebra
$5x=15$<br/><br/>$-4x+y=-2$<br/><br/>The solution to the given system of equations is $(x,y)$. What is the value of $x+y$?
MathAlgebra
The point $(8,2)$ in the xy-plane is a solution to which of the following systems of inequalities?
MathAlgebra
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 $j$?
MathAlgebra
A store sells two different-sized containers of a certain Greek yogurt. The store's sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation $5.48x+7.30y=1,277.94$ 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?<br/><br/>#### 5.7.30y
MathAlgebra
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?<br/><br/>\begin{tabular}{l l} $4x+2y=86$ \\
MathAlgebra
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?
MathAlgebra