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A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where $x$ is the number of pounds of Fertilizer A and $y$ is the number of pounds of Fertilizer B?
Math
Algebra
In the $xy$-plane, the points $(-2,3)$ and $(4,-5)$ lie on the graph of which of the following linear functions?
Math
Algebra
$\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline
0 & -2 \\ \hline
2 & 4 \\ \hline
6 & 16 \\ \hline \end{tabular}$
Some values of the linear function $f$ are shown in the table above. What is the value of $f(3)$?
Math
Algebra
Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions $f$ best models the production, in millions of barrels, $t$ years after the year 2000?
Math
Algebra
$y=4x-9$
$y=19$
What is the solution $x,y$ to the given system of equations?
Math
Algebra
$\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline
1 & $-64$ \\ \hline
2 & $0$ \\ \hline
3 & $64$ \\ \hline \end{tabular}$
For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$. Function $f$ is defined by $f(x)=ax+b$, where $a$ and $b$ are constants. What is the value of $a-b$?
Math
Algebra
For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which function $m$ models the number of minutes it will take Juan to ride $x$ miles at this rate?
Math
Algebra
$10=2x+4$
How many solutions exist to the equation shown above?
Math
Algebra
$4x+3y=24$
Mario purchased 4 binders that cost $x$ dollars each and 3 notebooks that cost $y$ dollars each. If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?
Math
Algebra
A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, $p$ people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of $p$ ?
Math
Algebra
The graph of $7x+2y=-31$ in the $xy$-plane has an $x$-intercept at $a,0$ and a $y$-intercept at $0,b$, where $a$ and $b$ are constants. What is the value of $ \frac{b}{a} $?
Math
Algebra
$\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline
0 & 29 \\ \hline
1 & 32 \\ \hline
2 & 35 \\ \hline \end{tabular}$ For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$. Which equation defines $f(x)$?
Math
Algebra
$y=-4x+40$
Which table gives three values of $x$ and their corresponding values of $y$ for the given equation?
$\begin{tabular}{c c|c} \hline
Math
Algebra
The function $h$ is defined by $h(x)=3x-7$. What is the value of $h(-2)$?
Math
Algebra
$H=120p+60$
The Karvonen formula above shows the relationship between Alice's target heart rate $H_{i}$, in beats per minute (bpm), and the intensity level $p$ of different activities. When $p=0$, Alice has a resting heart rate. When $p=1$, Alice has her maximum heart rate. It is recommended that $p$ be between 0.5 and 0.85 for Alice when she trains. Which of the following inequalities describes Alice's target training heart rate?
Math
Algebra
$\bm{4x+6=18}$
Which equation has the same solution as the given equation?
Math
Algebra
$a(3-x)-b=-1-2x\$)
In the equation above, $a\$$ and $b\$$ are constants. If the equation has infinitely many solutions, what are the values of $a\$$ and $b\$) ?
Math
Algebra
$f(x)=\frac{(\chi+7)}{4}$
For the function $f$ defined above, what is the value of $f(\mathbf{9})-f(1)$?
Math
Algebra
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?
Math
Algebra
$4x=20$
$-3x+y=-7$
The solution to the given system of equations is $x,y$. What is the value of $x+y$?
Math
Algebra
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?
Math
Algebra
$7x-5y=4$
$4x-8y=9$
If $(x,y)$ is the solution to the system of equations above, what is the value of $3x+3y$?
Math
Algebra
3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?
Math
Algebra
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?
Math
Algebra
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 ?
Math
Algebra
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