$4x-9y=9y+5$

$hy=2+4x$

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

A shipment consists of 5-pound boxes and 10-pound boxes with a total weight of 220 pounds. There are 13 10-pound boxes in the shipment. How many 5-pound boxes are in the shipment?

An elementary school teacher is ordering $x$ workbooks and $y$ sets of flashcards for a math class. The teacher must order at least 20 items, but the total cost of the order must not be over $\$80$. If the workbooks cost $\$3$ each and the flashcards cost $\$4$ per set, which of the following systems of inequalities models this situation?

$y=2x-3$

$3y=5x$

In the solution to the system of equations above, what is the value of $y$ ?

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation $3x+6y=63$ represents this situation, where $x$ is the number of sides of figure A and $y$ is the number of sides of figure B. Which statement is the best interpretation of 6 in this context?

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?

$y=18-5x$

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?

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?

$y>2x-1$

$2x>5$

Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?

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?

Which of the following systems of linear equations has no solution?

$$g(m)=-0.05m+12.1$$

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?

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?

Which of the following systems of linear equations has no solution?

If $\frac{1}{2}x-\frac{1}{6}x=1$, what is the value of $x$? 

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?

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?

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?

$y=-3x$

$4x+y=15$

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

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?

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 $x=1,2,3,4,5$?

$$5x+7y=1$$ $$ax+by=1$$

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?

$$8x+7y=9$$ $$24x+21y=27$$

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?

$y=2x+1$

$y=ax-8$

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

$x+y=20$

$2(x+y)+3y=85$

If $(x,y)$ is the solution to the given system of equations, what is the value of $y$?