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What is an equation of the graph shown?

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?

$4x=20$

$-3x+y=-7$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x+y$?

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?

For the function f defined above, what is the value of ?

In the equation above, a and b are constants. If the equation has infinitely many solutions, what are the values of a and b ?

$4x+6=18$

Which equation has the same solution as the given equation?

In the equation above, a and b are constants and . Which of the following could represent the graph of the equation in the xy-plane?

The Karvonen formula above shows the relationship between Alice’s target heart rate H, in beats per minute (bpm), and the intensity level p of different activities. When , Alice has a resting heart rate. When , 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?

The function $h$ is defined by $h\left(x\right)=3x-7$. What is the value of $h\left(-2\right)$?

$2\left(kx-n\right)=-\frac{28}{15}x-\frac{36}{19}$

In the given equation, $k$ and $n$ are constants and $n>1$. The equation has no solution. What is the value of $k$?

$y=-4x+40$

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

An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 days. The scientist found that the height of the plant increased by an average of 1.20 centimeters per day for the 12 days. If the height of the plant on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?

For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f\left(x\right)$. Which equation defines $f\left(x\right)$?

The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden Store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower?

A small business owner budgets $\$\mathrm{2,200}$ to purchase candles. The owner must purchase a minimum of $200$ candles to maintain the discounted pricing. If the owner pays $\$4.90$ per candle to purchase small candles and $\$11.60$ per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

A number $x$ is at most $17$ less than $5$ times the value of $y$. If the value of $y$ is $3$, what is the greatest possible value of $x$?

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 $\frac{b}{a}$?

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 ?

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

Nasir bought $9$ storage bins that were each the same price. He used a coupon for $\text{\$}63$ off the entire purchase. The cost for the entire purchase after using the coupon was $\text{\$}27$. What was the original price, in dollars, for $1$ storage bin?

The graph shows the relationship between the number of shares of stock from Company A, $x$, and the number of shares of stock from Company B, $y$, that Simone can purchase. Which equation could represent this relationship?

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?

$48x-72y=30y+24$

$ry=\frac{1}{6}-16x$

In the given system of equations, $r$ is a constant. If the system has no solution, what is the value of $r$?

How many solutions exist to the equation shown above?