Which expression is equivalent to $20w-(4w+3w)$?

Which expression is equivalent to $50x^{2}+5x^{2}$?

Which expression is equivalent to $11x^{3}-5x^{3}$?

$f(x)=4x^{2}+64x+262$

The function $g$ is defined by $g(x)=f(x+5)$. For what value of $x$ does $g(x)$ reach its minimum?

$$f(x)=ax^{2}+4x+c$$

In the given quadratic function, \(a\) and \(c\) are constants. The graph of \(y=f(x)\) in the \(xy\)-plane is a parabola that opens upward and has a vertex at the point \((h,k)\), where \(h\) and \(k\) are constants. If \(k<0\) and \(f(-9)=f(3)\), which of the following must be true?

I. \(c<0\)

II. \(a\geq 1\)

$2x^{2}-2=2x+3$

Which of the following is a solution to the equation above?

\[7m=5(n+p)\]

The given equation relates the positive numbers \(m\), \(n\), and \(p\). Which equation correctly gives \(n\) in terms of \(m\) and \(p\)?

$y=76$

$y=x^{2}-5$

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

$D=5,640(1.9)^{t}$

The equation above estimates the global data traffic $D$, in terabytes, for the year that is $t$ years after 2010. What is the best interpretation of the number 5,640 in this context?

A culture of bacteria is growing at an exponential rate, as shown in the table above. At this rate, on which day would the number of bacteria per milliliter reach $5.12\times 10^{8}$?

Which of the following is an equivalent form of $(1.5x-2.4)^{2}-(5.2x^{2}-6.4)$?

$\dfrac{2}{x-2}+\dfrac{3}{x+5}=\dfrac{rx+t}{(x-2)(x+5)}$

The equation above is true for all $x>2$, where $r$ and $t$ are positive constants. What is the value of $rt$?

$f(x)=-500x^{2}+25,000x$

The revenue $f(x)$, in dollars, that a company receives from sales of a product is given by the function $f$ above, where $x$ is the unit price, in dollars, of the product. The graph of $y=f(x)$ in the $xy$-plane intersects the $x$-axis at $0$ and $a$. What does $a$ represent?

$S(n)=38,000a^{n}$

The function $S$ above models the annual salary, in dollars, of an employee $n$ years after starting a job, where $a$ is a constant. If the employee's salary increases by 4% each year, what is the value of $a$ ?

A machine launches a softball from ground level. The softball reaches a maximum height of 51.84 meters above the ground at 1.8 seconds and hits the ground at 3.6 seconds. Which equation represents the height above ground $h$, in meters, of the softball $t$ seconds after it is launched?

A rectangular volleyball court has an area of 162 square meters. If the length of the court is twice the width, what is the width of the court, in meters?

The function $f$ is defined by $f(x)=4+\sqrt{x}$. What is the value of $f(144)$?

$\frac{1}{x^{2}+10x+25}=4$

If $x$ is a solution to the given equation, which of the following is a possible value of $x+5$ ?

$6r=7s+t$

The given equation relates the variables $r$, $s$, and $t$. Which equation correctly expresses $s$ in terms of $r$ and $t$?

Which of the following expressions is(are) a factor of $3x^{2}+20x-63$?

I. $x-9$

II. $3x-7$

Which of the following expressions is equivalent to $x^{2}-5$?

$(ax+3)(5x^{2}-bx+4)=20x^{3}-9x^{2}-2x+12$

The equation above is true for all $x$, where $a$ and $b$ are constants. What is the value of $ab$?

Lisa opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Lisa opened the account and the total amount $n$, in dollars, in the account. If Lisa made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $n$?

$(2x+5)^{2}-(x-2)+2(x+3)$

Which of the following is equivalent to the expression above?

Which of the following is equivalent to the expression $x^{4}-x^{2}-6$?