방정식과 부등식 전체 문제

Find the x- and y-intercepts for the following: $2x-5y=6$

Find the exact distance between $(5,-3)$ and $(-2,8).$ 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 $\{x|x\le 9\}.$

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

Solve for $x$: $3(2x-5)-3(x-7)=2x-9.$

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

Solve for x: $\frac{5}{x+4}=4+\frac{3}{x-2}.$

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 for x. Write the answer in simplest radical form.

$\frac{{x}^{2}}{3}-x=-\frac{1}{2}$

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

Solve: $|2x+3|<5.$

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

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

Passes through the points $(-4,2)$ and $(5,-3).$

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

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

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

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

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

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

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

Simplify: $\sqrt{-4}+3\sqrt{-16}.$

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

Multiply: $5i(5-3i).$

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

Divide: $\frac{4-i}{2+3i}.$

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

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