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.
Solving Inequalities
The procedure for solving an inequality by performing the same operation on each side of the statement.
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.
Quadratic Equations in Standard Form
The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.
Quadratic Equations Can Have Two, One, or No Solutions
Quadratic equations with one variable can have one solution, two solutions, or no solution at all.
Practical Problem: The Cost of Plumbing Repairs
A practical application of the slope-intercept equation involving rate of change is demonstrated.
Factor: a2 12a 27
Demonstration of a shortcut that can be used to factor a quadratic trinomial with a leading coefficient of 1.
Solving a Word Problem Using One Variable
Writing and solving a word problem using a one-variable approach.