Pre-Algebra: Free Online Course & Practice
Number sense, decimals, ratios, expressions, equations, graphing, geometry, statistics, and probability.
Grades 6-9 and returning learners8 units47 lessons + 10 assessments2621 practice & quiz itemsFree
Item counts include repeats and variants. There are 2577 distinct prompt texts after removing variant labels; this is not a count of unique mathematical skills.
Not sure where to start? Take the free 15-minute placement check to identify possible gaps, then practice with instant feedback and worked solutions.
Take the free Pre-Algebra placement check Open the Pre-Algebra courseStarting point and intended outcomes
Suggested preparation: Whole-number arithmetic and a willingness to work with fractions.
Learning goals: Develop signed-number, fraction, proportional, and introductory equation skills.
These describe the course's intended scope. A score on one screen or final is only one piece of evidence about these goals.
Course outline
Number Foundations
- Integer Sense and Number Lines
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Greatest Common Factor and Least Common Multiple
- Fraction Operations
- Fractions with Unlike Denominators
- Mixed Numbers and Fraction Word Problems
- Ratios and Unit Rates
- Percents
- Number Foundations Checkpoint
Decimals, Roots, and the Real Number System
- Decimal Place Value and Rounding
- Decimal Operations
- Decimal, Fraction, and Percent Conversions
- Scientific Notation
- Negative and Zero Exponents
- Square Roots and Cube Roots
- The Real Number System
- Decimals, Roots, and Real Numbers Checkpoint
Proportional Reasoning
- Proportions and Scale Factors
- Scale Drawings and Unit Conversions
- Graphing Relationships from Tables
- Cumulative Review: Number and Ratio Skills
- Proportional Reasoning Checkpoint
Algebra Readiness
- Exponents and Order of Operations
- Properties of Operations
- Expressions and Substitution
- One-Step Equations
- Two-Step Equations
- Equations with Variables on Both Sides
- Inequalities
- Algebra Readiness Checkpoint
- Pre-Algebra Midterm Exam
Coordinate Plane, Functions, and Slope
- Coordinate Plane Foundations
- Graphing Simple Linear Equations
- Graphing Inequalities on Number Lines and Grids
- Linear Functions Introduction
- Slope as Rate of Change
- Coordinate Plane, Functions, and Slope Checkpoint
Geometry Foundations
- Angle Relationships for Pre-Algebra
- Area and Perimeter Foundations
- Circles: Circumference and Area
- Volume and Surface Area Foundations
- Volume of Cylinders, Cones, and Spheres
- The Pythagorean Theorem
- Transformations on the Coordinate Plane
- Geometry Foundations Checkpoint
Statistics and Probability
- Data Displays and Measures
- Scatter Plots and Bivariate Data
- Probability Foundations
- Compound Probability
- Random Sampling and Inference
- Statistics and Probability Checkpoint
Cumulative Review and Test Prep
- Word Problems and Modeling
- Cumulative Review: Algebra, Graphing, and Geometry
- Cumulative Review Strategies
- Pre-Algebra Readiness Test
- Pre-Algebra Final Exam
Frequently asked questions
Is the Pre-Algebra course free?
Yes. The entire Pre-Algebra course — 57 lessons, 2621 practice and quiz items, including repeats and variants, worked solutions, and the placement check — is free to use at ClearMath Academy.
What does the Pre-Algebra course cover?
Number sense, decimals, ratios, expressions, equations, graphing, geometry, statistics, and probability. It spans 8 units and 57 lessons, each with a worked example and practice problems with step-by-step solutions.
Who is Pre-Algebra for?
Pre-Algebra is aimed at grades 6-9 and returning learners. You can take a free 15-minute placement check first to choose lessons to try first.
How do I find my gaps in Pre-Algebra?
Take the free Pre-Algebra placement check. It samples selected skills and suggests a practice plan. Skipped or untested topics remain unassessed; this is not a validated readiness certification.