Basic algebra formulas

Here are some basic algebra formulas:

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Equations

1. *Linear Equation*: ax + b = c

2. *Quadratic Equation*: ax^2 + bx + c = 0


Formulas for Solving Equations

1. *Slope-Intercept Form*: y = mx + b

2. *Quadratic Formula*: x = (-b ± √(b^2 - 4ac)) / 2a

3. *Formula for Slope*: m = (y2 - y1) / (x2 - x1)


Exponents and Logarithms

1. *Exponent Rule*: a^m × a^n = a^(m+n)

2. *Logarithmic Equation*: log_a(x) = y ⇔ a^y = x


Inequalities

1. *Linear Inequality*: ax + b > c, ax + b < c, etc.


Graphing

1. *Graph of a Line*: y = mx + b

2. *Graph of a Parabola*: y = ax^2 + bx + c


These formulas provide a foundation for solving algebraic equations, manipulating expressions, and graphing functions.

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