Standard form

Definition

Standard form of a linear equation in one variable is written as $Ax + B = 0$, where $A$ and $B$ are constants and $x$ is the variable. The coefficient $A$ should not be zero.

5 Must Know Facts For Your Next Test

1. The standard form is useful for easily identifying the slope and intercepts of a linear equation.
2. To convert an equation to standard form, ensure all terms involving variables are on one side, and constant terms are on the other side.
3. In standard form, coefficients should ideally be integers, and the leading coefficient should be positive.
4. $Ax + B = 0$ can be rearranged to solve for $x$, giving $x = -\frac{B}{A}$.
5. Standard form equations can help in solving systems of linear equations using methods like substitution or elimination.

Review Questions

• What does the standard form of a linear equation in one variable look like?
• How can you convert the equation $3x - 7 = 2x + 5$ into standard form?
• If an equation is given in standard form as $4x - 8 = 0$, what is the value of $x$?

Related terms

Slope-Intercept Form: $y = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.

Coefficient: A numerical or constant factor that multiplies a variable in an algebraic expression.

Variable: A symbol, typically a letter, used to represent an unknown number in mathematical expressions and equations.