sat-dog

A rectangle has a length that is $15$ times its width. The function $y=\left(15w\right)\left(w\right)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$. Which of the following is the best interpretation of $15w$ in this context?

Which expression is equivalent to $\left(m^4{q}^4{z}^{-1}\right)\left(m{q}^5{z}^3\right)$, where $m$, $q$, and $z$ are positive?

A system of equations consists of a quadratic equation and a linear equation. The equations in this system are graphed in the xy-plane above. How many solutions does this system have?

Which of the following inequalities is equivalent to the inequality above?

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

Which of the following is a factor of the polynomial above?

If and , which of the following is equivalent to ?

What values satisfy the equation above?

Which of the following is equivalent to the given expression?

Which expression is equivalent to $\frac{8x\left(x-7\right)-3\left(x-7\right)}{2x-14}$, where $x>7$?

$x=49$

$y=\sqrt{x}+9$

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

The quadratic function h is defined as shown. In the xy-plane, the graph of intersects the x-axis at the points and , where t is a constant. What is the value of t ?

$2\left(4-x\right)+3\left(4-x\right)=25$

What is the positive solution to the given equation?

The function $f$ is defined by $f\left(x\right)=\left(-8\right){\left(2\right)}^x+22$. What is the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

The graph shows the height above ground, in meters, of a ball $x$ seconds after the ball was launched upward from a platform. Which statement is the best interpretation of the marked point $\left(1.0,4.8\right)$ in this context?

$x^2-2x-9=0$

One solution to the given equation can be written as $1+\sqrt{k}$, where $k$ is a constant. What is the value of $k$?

In the $xy$-plane, a line with equation $2y=4.5$ intersects a parabola at exactly one point. If the parabola has equation $y=-4x^2+bx$, where $b$ is a positive constant, what is the value of $b$?

$f\left(x\right)=\mathrm{9,000}{\left(0.66\right)}^x$

The given function $f$ models the number of advertisements a company sent to its clients each year, where $x$ represents the number of years since $1997$, and $0\le x\le 5$. If $y=f\left(x\right)$ is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

The first term of a sequence is $9$. Each term after the first is $4$ times the preceding term. If $w$ represents the $n$th term of the sequence, which equation gives $w$ in terms of $n$?

Which ordered pair is a solution to the system of equations above?

What is the $y$-intercept of the graph shown?

Which of the following is equivalent to the expression ?

Which of the following is equivalent to the expression above?

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

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