### Practice Test

Find the *x-* and *y*-intercepts for the following: $\phantom{\rule{0.8}{0ex}}\text{}2x-5y=6$

Find the *x-* and *y*-intercepts of this equation, and sketch the graph of the line using just the intercepts plotted.

$3x-4y=12$

Find the exact distance between $\left(5,\mathrm{-3}\right)$ and $\left(-2,8\right).$ Find the coordinates of the midpoint of the line segment joining the two points.

Solve for *x*: $5x+8=3x-10.$

Solve for *x*: $\frac{x}{2}+1=\frac{4}{x}$

The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and the other side is 2 more than twice the shortest side. Find the length of each side.

Solve: $3x-8\le 4.$

Solve: $\left|3x-2\right|\ge 4.$

For the following exercises, find the equation of the line with the given information.

Has an undefined slope and passes through the point $\left(4,3\right).$

Add these complex numbers: $(3-2i)+(4-i).$

Multiply: $5i\left(5-3i\right).$

Solve this quadratic equation and write the two complex roots in $a+bi$ form: ${x}^{2}-4x+7=0.$

Solve: ${x}^{2}-6x=13.$

Solve:

$\sqrt{x-7}=x-7$

Solve: ${\left(x-1\right)}^{\frac{2}{3}}=9$

For the following exercises, find the real solutions of each equation by factoring.

${\left(x+5\right)}^{2}-3\left(x+5\right)-4=0$