Solving Quadratic Equations by Factoring
A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also utilizes the zero factor property.
Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Solving Systems with Fractions in the Equations
Systems of equations that contain fractions can be difficult to work with. Clearing the fractions in such a system by multiplying each equation by the least common denominator of the fractions in the equation can be a good strategy to employ.
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Solving Equations Not Written in Standard Form
Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.
Solving Quadratic Equations When Both Sides are Perfect Squares
Solving an equation in which both sides are perfect squares does not require putting the equation into standard form.
Solving Inequalities
The procedure for solving an inequality by performing the same operation on each side of the statement.
Solution Sets for Systems of Equations
A system of two linear equations can have no points in common (parallel); one point at which they intersect, or an infinite number of solutions.
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Rewriting Equations in Order to Use the Elimination Method
Using the elimination method to solve a system of equations will sometimes require rewriting one of the equations.