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Free · Self-paced · Grades 7–10

The Complete Algebra 1 Study Guide

Learn the whole course as one connected story—from reading expressions to solving quadratics and simplifying radicals.

10
connected chapters
44
check-your-work problems
Free
worksheets and tools
How to use this guide

Read a little. Work a problem. Check what you understand.

Each chapter begins with the big idea, explains the essential skills, and walks through one complete example. Try the short practice set without looking at the answers, then use the linked worksheet when you need more repetition.

Course map

Ten chapters, in a useful order

New ideas reuse earlier ones. If a chapter feels too difficult, step back one link and rebuild the prerequisite.

  1. 01ExpressionsTranslate, evaluate, and simplify algebraic expressions.
  2. 02EquationsSolve one-step through multi-step linear equations.
  3. 03InequalitiesSolve and graph linear and compound inequalities.
  4. 04Linear FunctionsConnect slope, graphs, tables, and linear equations.
  5. 05Systems of EquationsSolve systems by graphing, substitution, and elimination.
  6. 06ExponentsUse exponent laws and scientific notation accurately.
  7. 07PolynomialsClassify, add, subtract, and multiply polynomials.
  8. 08FactoringReverse distribution to factor common polynomial forms.
  9. 09QuadraticsGraph and solve quadratic equations in several forms.
  10. 10RadicalsSimplify and calculate with square roots and radicals.
Choose your route

You do not have to start at chapter 1.

Starting Algebra 1

Begin with the foundations

Work in order and use the readiness quiz before chapter 1 to spot arithmetic skills that need attention.

Take the readiness quiz →
Studying for a test

Jump to the exact topic

Read the chapter overview, copy the worked example, and try the short practice set before opening a worksheet.

Choose a chapter →
Finishing the course

Take the 20-question final

Test all ten chapters, see a topic-by-topic breakdown, and review a complete explanation for every answer.

Take the Algebra 1 final →