Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Evaluating a Rational Expression in which m = 4 Compared with the Same Expression in which m = -4
Comparison of the results of evaluating an expression in which the variable is substituted with 4 and then with -4.
Variation Problems
A variation problem always involves two sets of information and two formulas. To solve a variation problem, a general formula is written from the variation statement. A specific formula can then be written with the constant of variation.
Verifying Right Triangles with the Pythagorean Theorem
The Pythagorean Theorem can be used to determine whether a triangle is a right triangle, given the length of its sides.
Using Factoring to Solve an Equation
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
Using Proportion to Find Real Lengths from Scale Lengths
A specific formula is developed to solve a practical problem of converting scale length to real length in a scale drawing.
Working With the Discriminant First
Work with the discriminant first because it determines whether or not the equation has a solution. If the discriminant is positive, the equation has two solutions. If the discriminant is negative, the equation has not solution. Examples of both are ...
Using the Discriminant to Calculate Income from Mug Sales
Using the discriminant to solve a practical problem involving the pricing of mugs for greatest profit.
Using the Distance Formula to Find Distance Between Points
A practice problem is given to find the distance between coordinates using the distance formula.
Using the Least Common Denominator to Solve an Equation
Review of the procedure for solving equations that contain rational expressions.