Enter an algebraic equation into the calculator to convert it to standard form.
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Equations To Standard Form Formula
The following expression is used to convert an equation to standard form.
SF = LHS - (RHS)
- Where SF is the equation in standard form
- LHS is the left-hand side of the original equation
- RHS is the right-hand side of the original equation
To convert the equation, subtract the right-hand side from the left-hand side.
| Equation | Standard Form (Ax + By = C) |
|---|---|
| y = 2x + 3 | 2x – y = -3 |
| y = -3x + 5 | 3x + y = 5 |
| y = (1/2)x – 4 | x – 2y = 8 |
| y = -(2/3)x + 1 | 2x + 3y = 3 |
| y = 4 – 0.25x | x + 4y = 16 |
| 2(x – 3) = 4 | x = 5 |
| y – 3 = 2(x + 1) | 2x – y = -5 |
| 3x – 2y = 7 | 3x – 2y = 7 |
| y = 5 | y = 5 |
| x = -2 | x = -2 |
| 2y + 6 = 4x | 2x – y = 3 |
| y = (3/4)x + (5/2) | 3x – 4y = -10 |
| -x + 5y = 20 | x – 5y = -20 |
| y = -7 | y = -7 |
| y = 2/3 | 3y = 2 |
| 0.5x + 0.2y = 1.4 | 5x + 2y = 14 |
| y + 4 = -3(x – 2) | 3x + y = 2 |
| 6x + 9y = 12 | 2x + 3y = 4 |
| 2(x + 2y) – 3y = 7 | 2x + y = 7 |
| y = 1 – x | x + y = 1 |
| * Converted to Ax + By = C with integer coefficients where possible, A ≥ 0, and common factors removed. | |
What is a Standard Form Equation?
Definition:
A standard form equation is one where all terms are on one side of the equation and the expression is set equal to zero; this format simplifies the process of solving and analyzing algebraic equations.
How to Calculate Equations To Standard Form?
Example Problem:
The following example outlines the steps and information needed to convert an equation to standard form.
First, identify the left-hand side of the equation. In this example, the left-hand side is 2(x – 3).
Next, identify the right-hand side. In this example, the right-hand side is 4.
Finally, convert the equation to standard form using the formula above:
SF = LHS – (RHS)
SF = 2(x – 3) – (4)
The resulting equation is in standard form.
FAQ
What is standard form in an equation?
Standard form refers to an equation that has been rearranged so that all terms appear on one side with the expression set equal to zero. This format is useful for simplifying the process of solving and analyzing equations.
Why should I convert an equation to standard form?
Converting an equation to standard form can make it easier to identify key components of the equation, compare similar equations, and apply algebraic techniques for a solution.
Can this calculator handle all types of equations?
This calculator provides a basic conversion by rearranging the equation into standard form. For more complex equations, additional algebraic manipulation may be required.