SAT Math: Algebra

The point $(8, 2)$ in the $xy$-plane is a solution to which of the following systems of inequalities?

Line $k$ is defined by $y = 3x + 15$. Line $j$ is perpendicular to line $k$ in the $xy$-plane. What is the slope of line $j$?

If $4x - 28 = -24$, what is the value of $x - 7$?

What value of $p$ satisfies the equation $5p + 180 = 250$?

The cost of renting a backhoe for up to $10$ days is $</math-inline>270[object Object]<math-inline>135$ for each additional day. Which of the following equations gives the cost $y$, in dollars, of renting the backhoe for $x$ days, where $x$ is a positive integer and $x \le 10$?

The graph of the linear function $f$ is shown, where $y = f(x)$. What is the $x$-intercept of the graph of $f$?

$$\begin{aligned} -12x + 14y &= 36 \\ -6x + 7y &= -18 \end{aligned}$$How many solutions does the given system of equations have?

The graph of a system of linear equations is shown. What is the solution $(x,y)$ to the system?