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The sum of and can be written in the form , where a, b, and c are constants. What is the value of ?

The expression above is equivalent to , where a, b, and c are constants. What is the value of b?

The functions $f$ and $g$ are defined by the given equations, where $x\ge 0$. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where $x\ge 0$?

1. $f\left(x\right)=33{\left(0.4\right)}^{x+3}$
2. $g\left(x\right)=33\left(0.16\right){\left(0.4\right)}^{x-2}$

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 ?

A rubber ball bounces upward one-half the height that it falls each time it hits the ground. If the ball was originally dropped from a distance of 20.0 feet above the ground, what was its maximum height above the ground, in feet, between the third and fourth time it hit the ground?

The function $f$ is defined by $f\left(x\right)=6+\sqrt{x}$. What is the value of $f\left(36\right)$?

Which expression is equivalent to $9x^2+5x$?

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?

The number of bacteria in a liquid medium doubles every day. There are $\mathrm{44,000}$ bacteria in the liquid medium at the start of an observation. Which represents the number of bacteria, $y$, in the liquid medium $t$ days after the start of the observation? 

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

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

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

Which of the following expressions is equivalent to  ?

Which of the following is equivalent to ?

$f\left(x\right)=x^2-18x-360$

If the given function $f$ is graphed in the xy-plane, where $y=f\left(x\right)$, what is an x-intercept of the graph?

The quadratic function graphed above models a particular measure of plant diversity as a function of the elevation in a region of Switzerland. According to the model, which of the following is closest to the elevation, in meters, at which plant diversity is greatest?

Square P has a side length of $x$ inches. Square Q has a perimeter that is $176$ inches greater than the perimeter of square P. The function $f$ gives the area of square Q, in square inches. Which of the following defines $f$?

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

$y=3x+a$

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 $x$?

The surface area of a cube is , where a is a positive constant. Which of the following gives the perimeter of one face of the cube?

The function $f$ is defined by $f\left(x\right)=7x^3$. In the xy-plane, the graph of $y=g\left(x\right)$ is the result of shifting the graph of $y=f\left(x\right)$ down $2$ units. Which equation defines function $g$?

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

According to Moore’s law, the number of transistors included on microprocessors doubles every 2 years. In 1985, a microprocessor was introduced that had 275,000 transistors. Based on this information, in which of the following years does Moore’s law estimate the number of transistors to reach 1.1 million?

The function $f$ is defined by $f\left(x\right)=270{\left(0.1\right)}^x$. What is the value of $f\left(0\right)$?

The function $g$ is defined by $g\left(x\right)=x^2+9$. For which value of $x$ is $g\left(x\right)=25$?