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A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where $x$ represents the number of 1-point questions and $y$ represents the number of 3-point questions?
Math
Algebra
The equation above represents the speed $y$, in feet per second, of Sheila's bicycle $x$ seconds after she applied the brakes at the end of a ride. If the equation is graphed in the $xy$-plane, which of the following is the best interpretation of the $x$-coordinate of the line's $x$-intercept in the context of the problem?
Math
Algebra
For a camping trip a group bought $\bm{x}$ one-liter bottles of water and $\bm{y}$ three-liter bottles of water, for a total of 240 liters of water. Which equation represents this situation?
Math
Algebra
Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?
Math
Algebra
Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?
Math
Algebra
Which of the following systems of linear equations has no solution?
Math
Algebra
$$g(m)=-0.05m+12.1$$
The given function $g$ models the number of gallons of gasoline that remains from a full gas tank in a car after driving $m$ miles. According to the model, about how many gallons of gasoline are used to drive each mile?
Math
Algebra
The function $f$ is defined by $f(x)=\frac{1}{10}\,x-2$. What is the $y$-intercept of the graph of $y=f(x)$ in the $xy$-plane?
Math
Algebra
$\begin{array}{l}\mbox{
Math
Algebra
**Figure Captions**
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**Fig
Math
Algebra
$\begin{tabular}{|c|c|c|c|c|} $\chi$ & $-11$ & $-10$ & $-9$ & $-8$ \\ \hline $f(x)$ & $21$ & $18$ & $15$ & $12$ \\ \hline \end{tabular}$ The table above shows some values of $x$ and their corresponding values $f(x)$ for the linear function $f$. What is the $x$-intercept of the graph of $y=f(x)$ in the xy-plane?
Math
Algebra
Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain purchase of raspberries and blackberries would cost $37.00 at Store A or $66.00 at Store B. How many pints of blackberries are in this purchase?
Math
Algebra
The length, $\bm{y}$, of a white whale was 162 centimeters (cm) when it was born and increased an average of 4.8 cm per month for the first 12 months after it was born. Which equation best represents this situation, where $\bm{x}$ is the number of months after the whale was born and $\bm{y}$ is the length, in cm, of the whale?
Math
Algebra
$y=-3x$
$4x+y=15$
The solution to the given system of equations is $(x,y)$. What is the value of $x$?
Math
Algebra
A business owner plans to purchase the same model of chair for each of the 81 employees. The total budget to spend on these chairs is $14,000, which includes a 7% sales tax. Which of the following is closest to the maximum possible price per chair, before sales tax, the business owner could pay based on this budget?
Math
Algebra
On January 1, 2015, a city's minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best models the minimum hourly wage, in dollars, $x$ years after January 1, 2015, where $x=1,2,3,4,5$ ?
Math
Algebra
$$5x+7y=1$$ $$ax+by=1$$
In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the $xy$-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?
Math
Algebra
$$8x+7y=9$$ $$24x+21y=27$$
For each real number $r$, which of the following points lies on the graph of each equation in the $xy$-plane for the given system?
Math
Algebra
$y=2x+1$
$y=ax-8$
In the system of equations above, $a$ is a constant. If the system of equations has no solution, what is the value of $a$ ?
Math
Algebra
$x+y=20$
$2(x+y)+3y=85$
If $x,y$ is the solution to the given system of equations, what is the value of $y$ ?
Math
Algebra
If $f\left(x\right)=x+7$ and $g\left(x\right)=7x$, what is the value of $4f\left(2\right)-g\left(2\right)$?
Math
Algebra
A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft), and the cost per pound, in dollars. Only basalt, granite, and limestone will be used in the garden. The rocks in the garden will have a total weight of 1,000 pounds. If 330 pounds of granite is used, which of the following equations could show the relationship between the amounts, $x$ and $y$, in ft, for each of the other rock types used?
Math
Algebra
$\begin{tabular}{|c|c|} \hline X & y \\ \hline
1 & 5 \\ \hline
2 & 7 \\ \hline
3 & 9 \\ \hline
4 & 11 \\ \hline \end{tabular}$ The table above shows some pairs of $x$ values and $y$ values. Which of the following equations could represent the relationship between $x$ and $y$ ?
Math
Algebra
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width $x$, in inches, of the box?
Math
Algebra
A line in the $xy$-plane has a slope of $\frac{1}{9}$ and passes through the point $(0,14)$. Which equation represents this line?
Math
Algebra
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