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$\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline
1 & 5 \\ \hline
3 & 13 \\ \hline
5 & 21 \\ \hline \end{tabular}$ Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$ ?
Math
Algebra
$y<-4x+4$
Which point $(x,y)$ is a solution to the given inequality in the $xy$-plane?
Math
Algebra
The boiling point of water at sea level is 212 degrees Fahrenheit (${}^{\circ}$F). For every 550 feet above sea level, the boiling point of water is lowered by about 1${}^{\circ}$F. Which of the following equations can be used to find the boiling point $B$ of water, in ${}^{\circ}$F, $x$ feet above sea level?
$$\begin{array}{l}\mbox{
Math
Algebra
Keenan made 32 cups of vegetable broth. Keenan then filled $\bm{x}$ small jars and $\bm{y}$ large jars with all the vegetable broth he made. The equation $3\bm{x}+5\bm{y}=32$ represents this situation. Which is the best interpretation of $5\bm{y}$ in this context?
Math
Algebra
Sean rents a tent at a cost of $11 per day plus a onetime insurance fee of $10. Which equation represents the total cost $c$, in dollars, to rent the tent with insurance for $d$ days?
Math
Algebra
In the system of equations below, a and c are constants.
\[\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6}\] \[\alpha x+y=c\]
If the system of equations has an infinite number of solutions \((X,y)\), what is the value of a ?
Math
Algebra
Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, $G$, on Tom's fourth exam that will result in a mean score on all four exams of at least 90 ?
Math
Algebra
In the $xy$-plane, the graph of the linear function $\bm{f}$ contains the points $(0,2)$ and $(8,34)$. Which equation defines $\bm{f}$, where $y=f(\bm{x})$?
Math
Algebra
In the $xy$-plane, the graph of $y=x+3$ intersects the graph of $y=2x-6$ at the point $(a,b)$. What is the value of $a$ ?
Math
Algebra
According to data provided by the US Department of Energy, the average price per gallon of regular gasoline in the United States from September 1, 2014, to December 1, 2014, is modeled by the function $F$ defined below, where $F(x)$ is the average price per gallon $x$ months after September 1.
$F(x)=2.74-0.19(x-3)$
The constant $2.74$ in this function estimates which of the following?
Math
Algebra
Caleb used juice to make popsicles. The function $f(\bm{x})=-5\bm{x}+30$ approximates the volume, in fluid ounces, of juice. Caleb had remaining after making $\bm{x}$ popsicles. Which statement is the best interpretation of the $y$-intercept of the graph of $\bm{y}=\bm{f}(\bm{x})$ in the $xy$-plane in this context?
Math
Algebra
$4x+5y=100$
$5x+4y=62$
If the system of equations above has solution $x,y$_{n}$ what is the value of $x+y$?
Math
Algebra
**8$x$ = 88**
What value of $x$ is the solution to the given equation?
Math
Algebra
$x+3=-2y+5$
$x-3=2y+7$
The solution to the given system of equations is $x,y$. What is the value of $2x$?
Math
Algebra
During a month, Morgan ran $r$ miles at 5 miles per hour and biked $b$ miles at 10 miles per hour. She ran and biked a total of 200 miles that month, and she biked for twice as many hours as she ran. What is the total number of miles that Morgan biked during the month?
Math
Algebra
A principal used a total of 25 flags that were either blue or yellow for field day. The principal used 20 blue flags. How many yellow flags were used?
Math
Algebra
$y=2x+3$
$x=1$
What is the solution $(X,y)$ to the given system of equations?
Math
Algebra
Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?
Math
Algebra
A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour (mph) on the highway and an average speed of 25 mph on local roads. If $\bm{x}$ is the time, in hours, the bus traveled on the highway and $\bm{y}$ is the time, in hours, it traveled on local roads, which system of equations represents this situation?
Math
Algebra
One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?
Math
Algebra
Which of the following is equivalent to $Ax+G=12$?
Math
Algebra
A salesperson's total earnings consist of a base salary of $\bm{x}$ dollars per year, plus commission earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales $\bm{s}$, in dollars, the salesperson can make this year in order to meet that goal?
Math
Algebra
$$y=-\frac{1}{9}\,x$$
$$y=\frac{1}{2}\,x$$
The solution to the given system of equations is $(x,y)$. What is the value of $x$?
Math
Algebra
$x=10$
$y=x+21$
The solution to the given system of equations is $(x,y)$. What is the value of $y$?
Math
Algebra
The function $f$ is defined by $f(x)=7x-84$. What is the $x$-intercept of the graph of $y=f(x)$ in the $xy$-plane?
Math
Algebra
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