Algebra
Linear Equations
A linear equation is an equation of the first degree — the highest power of the variable is 1. It graphs as a straight line.
Key Formulas
Slope-intercept form
m is the slope, b is the y-intercept.
Point-slope form
Use when you know a point and the slope.
Key Concepts
SlopeY-interceptParallel and perpendicular linesSystems of linear equations
Worked Examples
1
Solution:
2
Solution:
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Quadratic Equations
A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or zero real solutions.
Polynomials
A polynomial is an expression of multiple terms with variables raised to non-negative integer powers.
Functions
A function is a relation that assigns each input exactly one output. Functions are central to all of mathematics.
Systems of Equations
A system of equations is a set of equations with multiple variables that are solved together.