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

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$\text{\hspace{0.17em}}\left(5,\mathrm{-3}\right)\text{\hspace{0.17em}}$and$\text{\hspace{0.17em}}\left(-2,8\right).\text{\hspace{0.17em}}$Find the coordinates of the midpoint of the line segment joining the two points.

Write the interval notation for the set of numbers represented by$\text{\hspace{0.17em}}\left\{x|x\le 9\right\}.$

Solve for *x*:$\text{\hspace{0.17em}}5x+8=3x-10.$

Solve for *x*:$\text{\hspace{0.17em}}\frac{x}{2}+1=\frac{4}{x}$

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:$\text{\hspace{0.17em}}3x-8\le 4.$

Solve:$\text{\hspace{0.17em}}\left|3x-2\right|\ge 4.$

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

Passes through the points$\text{\hspace{0.17em}}\left(-4,2\right)\text{\hspace{0.17em}}$and$\text{\hspace{0.17em}}\left(5,\mathrm{-3}\right).$

Has an undefined slope and passes through the point$\text{\hspace{0.17em}}\left(4,3\right).$

Passes through the point$\text{\hspace{0.17em}}\left(2,1\right)\text{\hspace{0.17em}}$and is perpendicular to$\text{\hspace{0.17em}}y=-\frac{2}{5}x+3.$

Add these complex numbers:$\text{\hspace{0.17em}}(3-2i)+(4-i).$

Multiply:$\text{\hspace{0.17em}}5i\left(5-3i\right).$

Solve this quadratic equation and write the two complex roots in$\text{\hspace{0.17em}}a+bi\text{\hspace{0.17em}}$form:$\text{\hspace{0.17em}}{x}^{2}-4x+7=0.$

Solve:$\text{\hspace{0.17em}}{x}^{2}-6x=13.$

Solve:

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

Solve:$\text{\hspace{0.17em}}{\left(x-1\right)}^{\frac{2}{3}}=9$

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

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