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$f(x)=\frac{(x+7)}{4}$

For the function $f$ defined above, what is the value of $f(9)-f(1)$?
MathAlgebra
A certain elephant weighs 200 pounds at birth and gains more than 2 but less than 3 pounds per day during its first year. Which of the following inequalities represents all possible weights $w$, in pounds, for the elephant 365 days after birth?
MathAlgebra
$4x=20$

$-3x+y=-7$

The solution to the given system of equations is $(x,y)$. What is the value of $x+y$?
MathAlgebra
A city's total expense budget for one year was $x$ million dollars. The city budgeted $y$ million dollars for departmental expenses and 201 million dollars for all other expenses. Which of the following represents the relationship between $x$ and $y$ in this context?
MathAlgebra
$7x-5y=4$

$4x-8y=9$

If $(x,y)$ is the solution to the system of equations above, what is the value of $3x+3y$?
MathAlgebra
3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?
MathAlgebra
A bus is traveling at a constant speed along a straight portion of road. The equation $d=30t$ gives the distance $d$, in feet from a road marker, that the bus will be $t$ seconds after passing the marker. How many feet from the marker will the bus be 2 seconds after passing the marker?
MathAlgebra
A certain product costs a company $\$65$ to make. The product is sold by a salesperson who earns a commission that is equal to 20% of the sales price of the product. The profit the company makes for each unit is equal to the sales price minus the combined cost of making the product and the commission. If the sales price of the product is $\$100$, which of the following equations gives the number of units, $u$, of the product the company sold to make a profit of $\$6,840$?
MathAlgebra
$x$ $f(x)$
1 5
3 13
5 21

 

Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$?
MathAlgebra
$y<-4x+4$

Which point $(x,y)$ is a solution to the given inequality in the $xy$-plane?
MathAlgebra
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?
MathAlgebra
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?
MathAlgebra
Sean rents a tent at a cost of $\$11$ per day plus a one-time insurance fee of $\$10$. Which equation represents the total cost $c$, in dollars, to rent the tent with insurance for $d$ days?
MathAlgebra
In the system of equations below, $a$ and $c$ are constants.

$$\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6} \\ ax+y=c$$

If the system of equations has an infinite number of solutions $(x,y)$, what is the value of $a$?
MathAlgebra
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 ?
MathAlgebra
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 $y=f(\bm{x})$?
MathAlgebra
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 $a$ ?
MathAlgebra
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?
MathAlgebra
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?
MathAlgebra
$4x+5y=100$

$5x+4y=62$

If the system of equations above has solution $(x,y)$ what is the value of $x+y$?
MathAlgebra
$$8x = 88$$

What value of $x$ is the solution to the given equation?
MathAlgebra
$x+3=-2y+5$

$x-3=2y+7$

The solution to the given system of equations is $(x,y)$. What is the value of $2x$?
MathAlgebra
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?
MathAlgebra
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?
MathAlgebra
$y=2x+3$

$x=1$

What is the solution $(x,y)$ to the given system of equations?
MathAlgebra