\(3^{−2}= \; ?\)

\((3x + 4y)(2x + 5y) = \; ?\)

Which of the following is the equation of a line passing through the points \((0,8)\) and \((−4,0)\) on the \(xy\)-plane?

Triangle \(XYZ\) lies in the \(xy\)-plane. The \((3,4)\), the coordinates of vertex \(Y\) are \((2,1)\), and the coordinates of vertex \(Z\) are \((4,2)\).

If the triangle is rotated 270° clockwise to produce triangle \(X’Y’Z’\), what will be the coordinates of vertex \(X’\) which corresponds to vertex \(X\) of triangle \(XYZ\)?

A rectangle is cut in half to create two squares that each have an area of 25. What is the perimeter of the original rectangle?

If \(f(x) = 4x^2\) and \(g(x) = 5x\), what is \(g(f(2x))\)?

In a coordinate plane, triangle ABC has the following coordinates:

\((−2,7),(−3,6),(4,5)\)

If triangle ABC is reflected over the \(y\)-axis, what are the coordinates of the new image?

Which of these expressions is equivalent to \((x^7y^3)^5 \,\)?

The table above shows the results of a 100-person survey. Each person was asked if they owned a dog and if their yard was fenced-in. Given that the person’s yard is fenced, what is the probability that they own a dog?

Simplify:

\(\dfrac{6x^5 − 2x − 4}{2x}\)