Algebra 1 — Free Practice Questions, Study Guides & Mock Exams

Learn equations, functions, expressions, systems, and core algebra fluency. In compliance with U.S. Public School Curriculum.

Topics covered

Linear Functions: Slope-Intercept Form & Special Lines — Plot the y-intercept, step off the slope, and handle horizontal and vertical lines.
Linear Functions: Standard Form — Graph standard form by rewriting to slope-intercept form or by finding the intercepts.
Absolute Value Functions — Build the V one matching pair at a time — start at the vertex, use the slope on both sides, and draw two clean rays.
Quadratic Functions: Standard Form — Graphing $y=ax^2+bx+c$ by calculation and symmetry
Quadratic Functions: Vertex Form — Graphing $y=a(x-h)^2+k$ by vertex, y-intercept, and symmetry
Quadratic Functions: Transformations — Graphing $y=a(x-h)^2+k$ from the parent function
Exponential Functions: Basic Graphs — Graphing by making a small table of points
Exponential Functions: Transformed Functions — Using $y=a\cdot b^{x-h}+k$
Exponential Functions: Graphing by Transformations — Move the parent exponential pattern
Radical Functions: Basic Square Root Graphs — Graphing from perfect-square inputs
Radical Functions: Transformed Functions — Using endpoint, perfect-square steps, and y-intercepts
Radical Functions: Graphing by Transformations — Move the parent square root pattern
Rational Functions — Graph reciprocal functions — draw both asymptotes, place helper points on each side, and sketch two smooth branches.