Finding the distance between two points.

Find the distance between the points (5,9) and (-2,9).

Finding the roots of an expression.

Solve (find the roots): (2x-3/x) + (5x-3/x^2) - (2x^2) + (x-6/x^3) = 2

Finding the intersection point between two equations.

Solve for x and y. 3x-4y=32 3x-3y=24

Solving inequalities: Finding the Value of x on an Interval

What are all the real values of x that are solutions for the inequality |x-2| less than or equal to 6?

Solving logarithm functions.

Solve: log 8 + log 2 = ?

Solving for x

If f(x)=x squared -2, then f(a+2) = ?

Working with trigonometric functions.

For zero degrees < x < ninety degrees, how many solutions are there for the equation 2sin x = cos x

Writing polynomial equations when given the roots.

Write the simplest polynomial equation that has roots 1+i and -1.

Solving for one variable in a multiple variable equation.

Solve for y: 2x - 5y = -1

Finding the roots of an equation.

Find to the nearest tenth, the positive real roots of f(x) ~= x^2+x-1.