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Which of the following values of x satisfies the given equation?

$f\left(x\right)=4x^2-50x+126$

The given equation defines the function $f$. For what value of $x$ does $f\left(x\right)$ reach its minimum?

The function h is defined above, where a, b, and c are integer constants. If the zeros of the function are 6, and 7, what is the value of c ?

The function $f$ is defined by $f\left(x\right)=8\sqrt{x}$. For what value of $x$ does $f\left(x\right)=48$?

Which of the following is equivalent to , where ?

$64x^2+bx+25=0$

In the given equation, $b$ is a constant. For which of the following values of $b$ will the equation have more than one real solution?

$f\left(x\right)=9{\left(4\right)}^x$

The function $f$ is defined by the given equation. If $g\left(x\right)=f(x+2)$, which of the following equations defines the function $g$?

If a and c are positive numbers, which of the following is equivalent to ?

$f\left(x\right)={\left(x+7\right)}^2+4$

The function $f$ is defined by the given equation. For what value of $x$ does $f\left(x\right)$ reach its minimum?

$y=x^2+14x+48$

$x+8=11$

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

The total revenue from sales of a product can be calculated using the formula , where T is the total revenue, P is the price of the product, and Q is the quantity of the product sold. Which of the following equations gives the quantity of product sold in terms of P and T ?

The function $f$ is defined by $f\left(x\right)=x^3+15$. What is the value of $f\left(2\right)$?

Kao measured the temperature of a cup of hot chocolate placed in a room with a constant temperature of 70 degrees Fahrenheit (°F). The temperature of the hot chocolate was 185°F at 6:00 p.m. when it started cooling. The temperature of the hot chocolate was 156°F at 6:05 p.m. and 135°F at 6:10 p.m. The hot chocolate’s temperature continued to decrease. Of the following functions, which best models the temperature , in degrees Fahrenheit, of Kao’s hot chocolate m minutes after it started cooling?

The graph of the polynomial function $f$, where $y=f\left(x\right)$, is shown. The y-intercept of the graph is $\left(0,y\right)$. What is the value of $y$?

$y=-1.50$

$y=x^2+8x+a$

In the given system of equations, $a$ is a positive constant. The system has exactly one distinct real solution. What is the value of $a$?

The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the xy-plane?

Which expression is equivalent to $8+d^2+3$?

Which of the following expressions is equivalent to ?

$p\left(t\right)=\mathrm{90,000}{\left(1.06\right)}^t$

The given function $p$ models the population of Lowell $t$ years after a census. Which of the following functions best models the population of Lowell $m$ months after the census?

The population of a town is currently 50,000, and the population is estimated to increase each year by 3% from the previous year. Which of the following equations can be used to estimate the number of years, t, it will take for the population of the town to reach 60,000 ?

For the exponential function $f$, the value of $f\left(1\right)$ is $k$, where $k$ is a constant. Which of the following equivalent forms of the function $f$ shows the value of $k$ as the coefficient or the base?

An object is kicked from a platform. The equation $h=-4.9t^2+7t+9$ represents this situation, where $h$ is the height of the object above the ground, in meters, $t$ seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

$(5x^3-3)-(-4x^3+8)$

The given expression is equivalent to $b{x}^3-11$, where $b$ is a constant. What is the value of $b$?

Which expression is equivalent to $9x+6x+2y+3y$?

The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?