sat-dog

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 $j$?

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 $b$?

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 ?

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 $k$?

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?

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 $j$?

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 $r$?

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 $r$?

$y=x+4$

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

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?

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

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?

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

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?

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 $\left(x,y\right)=\left(24,73\right)$ in this context?

The equation 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?

In the xy-plane, line k intersects the y-axis at the point and passes through the point . If the point lies on line k, what is the value of w ?

Which of the following is an equation of the graph shown in the xy-plane above?

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 $x$ sandwiches and $y$ salads. Which equation represents this situation?

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 ?

The y-intercept of the graph of $12x+2y=18$ in the xy-plane is $\left(0,y\right)$. What is the value of $y$?

In the xy-plane, line $l$ passes through the point $\left(0,0\right)$ and is parallel to the line represented by the equation $y=8x+2$. If line $l$ also passes through the point $\left(3,d\right)$, what is the value of $d$?

The graph of $y=f\left(x\right)+14$ is shown. Which equation defines function $f$?

Keenan made $32$ cups of vegetable broth. Keenan then filled $x$ small jars and $y$ large jars with all the vegetable broth he made. The equation $3x+5y=32$ represents this situation. Which is the best interpretation of $5y$ in this context?