sat-dog

$8x+y=-11$

$2x^2=y+341$

The graphs of the equations in the given system of equations intersect at the point $(x,y)$ in the $xy$-plane. What is a possible value of $x$?

The speed of sound in dry air, v, can be modeled by the formula , where T is the temperature in degrees Celsius and v is measured in meters per second. Which of the following correctly expresses T in terms of v ?

$x\left(x+1\right)-56=4x\left(x-7\right)$

What is the sum of the solutions to the given equation?

If is a solution to the system of equations above, which of the following is a possible value of x?

$p=20+\frac{16}{n}$

The given equation relates the numbers $p$ and $n$, where $n$ is not equal to $0$ and $p>20$. Which equation correctly expresses $n$ in terms of $p$?

$y=\left(x-2\right)\left(x+4\right)$

$y=6x-12$

Which ordered pair $\left(x,y\right)$ is the solution to the given system of equations?

$\frac{1}{7b}=\frac{11x}{y}$

The given equation relates the positive numbers $b$, $x$, and $y$. Which equation correctly expresses $x$ in terms of $b$ and $y$?

In the xy-plane, the graph of intersects line p at and , where a and b are constants. What is the slope of line p ?

Blood volume,, in a human can be determined using the equation , where is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?

$\frac{-54}{w}=6$

What is the solution to the given equation?

The power P produced by a machine is represented by the equation above, where W is the work performed during an amount of time t. Which of the following correctly expresses W in terms of P and t ?

If one solution to the system of equations above is , what is one possible value of x ?

The formula above can be used to approximate the dew point D, in degrees Fahrenheit, given the temperature T, in degrees Fahrenheit, and the relative humidity of H percent, where . Which of the following expresses the relative humidity in terms of the temperature and the dew point?

$x-29=\left(x-a\right)\left(x-29\right)$

Which of the following are solutions to the given equation, where $a$ is a constant and $a>30$?

1. $a$
2. $a+1$
3. $29$

$y=2x^2-21x+64$

$y=3x+a$

In the given system of equations, $a$ is a constant. The graphs of the equations in the given system intersect at exactly one point, $(x,y)$, in the xy-plane. What is the value of $x$?

A solution to the given system of equations is . Which of the following is a possible value of xy ?

If a is a solution of the equation above and , what is the value of a ?

In the xy-plane, the graph of intersects the graph of at the points and . What is the value of a ?

$x+7=10$

${\left(x+7\right)}^2=y$

Which ordered pair $\left(x,y\right)$ is a solution to the given system of equations?

In a city, the property tax T, in dollars, is calculated using the formula above, where P is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?

$\frac{x^2}{25}=36$

What is a solution to the given equation?

The formula above expresses the square of the speed v of a wave moving along a string in terms of tension T, mass m, and length L of the string. What is T in terms of m, v, and L ?

$64x^2-\left(16a+4b\right)x+ab=0$

In the given equation, $a$ and $b$ are positive constants. The sum of the solutions to the given equation is $k\left(4a+b\right)$, where $k$ is a constant. What is the value of $k$?

$\left(x-2\right)=9$

What is one possible solution to the given equation?

If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?