Standard form

Definition

Standard form in the context of linear equations is a way of writing equations in the format $Ax + B = C$, where $A$, $B$, and $C$ are constants and $x$ is the variable. This form helps to easily identify and manipulate the components of an equation.

5 Must Know Facts For Your Next Test

1. In standard form, $A$ should be a non-zero integer.
2. $Ax + B = C$ can be rearranged to isolate $x$, making it easier to solve for the variable.
3. Standard form is useful for quickly identifying intercepts and slopes when converting to other forms like slope-intercept form ($y = mx + c$).
4. It is often used in algebraic operations such as addition or subtraction of equations.
5. To convert from standard form to slope-intercept form, you can solve for $y$ by isolating it on one side.

Review Questions

• What are the conditions that $A$, $B$, and $C$ must satisfy in the standard form?
• How can you convert a linear equation from standard form to slope-intercept form?
• Why might one prefer using standard form over other forms when solving certain types of problems?

Related terms

Slope-Intercept Form: A way of writing linear equations as $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Variable: A symbol, usually a letter, that represents an unknown value in mathematical expressions or equations.

$x$-intercept: $The point where a graph crosses the x-axis, found by setting y = 0 in an equation.