Equivalent Expressions Calculator

Using the Equivalent Expressions Calculator

This guide will walk you through the steps of using the Equivalent Expressions Calculator to determine if various mathematical expressions are equivalent. The calculator can handle linear, quadratic, and exponential expressions.

Step 1: Select the Expression Type

Begin by choosing the type of expression you would like to evaluate. You have three options: Linear Expression, Quadratic Expression, and Exponential Expression. To make your selection, find the dropdown menu labeled Expression Type and select the appropriate option that suits your needs.

Step 2: Enter the Coefficient

Next, input the coefficient of your expression. This is a required field and must be a number between -1000 and 1000. You can enter decimal values with a precision of up to one decimal point. Input your coefficient in the field labeled Coefficient.

Step 3: Enter the Variable Value

Proceed by entering the value for the variable x in your expression. This is another required field, and similar to the coefficient, it must be a number between -1000 and 1000 with up to one decimal place. Enter the variable value in the field labeled Variable Value.

Step 4: Enter the Constant Term

The next step is to input the constant term of your expression. This field is also required and follows the same constraints as earlier fields: a range from -1000 to 1000 with up to one decimal point. Fill in your constant term in the field labeled Constant Term.

Step 5: Calculate the Results

After inputting all the necessary information, the calculator will process your entries and provide results in multiple forms:

• Standard Form Result: This field displays the output of the expression in standard form, calculated as coefficient * variable + constant.
• Factored Form Result: This result is presented in factored form, calculated as coefficient * (variable + (constant/coefficient)).
• Quadratic Form Result: If you selected the quadratic expression type, this result will show the quadratic evaluation, computed as coefficient * variable2 + constant. If a different expression type is selected, it will display 0.
• Exponential Form Result: If you selected the exponential expression type, this result provides the exponential evaluation, calculated with the formula coefficient * evariable + constant. This will be 0 for other expression types.

Step 6: Check Equivalence

Finally, evaluate whether the standard form and factored form of the expressions are equivalent. The field labeled Expressions are Equivalent will show a result of 1 if they are equivalent (true) or 0 if they are not (false). The equivalence is determined by checking if the absolute difference between the standard and factored forms is less than 0.0001.

By following these steps, you can effectively use the Equivalent Expressions Calculator to evaluate different mathematical expressions and determine their equivalence.