Prealgebra · Lessons

Prealgebra lessons

7 sections · 102 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.

Long-form lessonsSlide-style lessons

Practice 102 skills across this outline.

Recommended next

Solving Systems by Substitution

Expressions, Equations & Inequalities · Linear Equations, Slope & Intercepts

Long-form lesson

Weighting distribution

24 categories

Math Practices & Problem Solving · Tools, Modeling & Perseverance

Functions · Linear Functions & Modeling

Math Practices & Problem Solving · Reasoning, Precision & Structure

Geometry & Measurement · Area, Surface Area & Volume

Functions · Functions as Input–Output Rules

Statistics & Probability · Probability

Skills

The comprehensive taxonomy of prealgebra — drill into a card to work its skills.

Expressions, Equations & Inequalities · Linear Equations, Slope & Intercepts

5 core skills2% total weight

0/5 completed

5 skills to mastery

Solving Systems by SubstitutionRecommended

Long-form

Systems of Linear EquationsAvailable

Long-form

Writing Linear Equations (y=mx+b)Available

Long-form

Solving Systems by GraphingAvailable

Long-form

Slope & InterceptAvailable

Long-form

Expressions, Equations & Inequalities · Geometry in Algebra (Formulas & Relationships)

4 core skills2% total weight

0/4 completed

4 skills to mastery

Distributive Property in GeometryAvailable

Long-form

Using FormulasAvailable

Long-form

Solving for a Variable in FormulasAvailable

Long-form

Modeling with ExpressionsAvailable

Long-form

Expressions, Equations & Inequalities · Expressions & Properties

5 core skills4% total weight

0/5 completed

5 skills to mastery

Properties for Equivalent ExpressionsAvailable

Long-form

Combining Like TermsAvailable

Long-form

Expression StructureAvailable

Long-form

Order of Operations with ExponentsAvailable

Long-form

Writing Algebraic ExpressionsAvailable

Long-form

Expressions, Equations & Inequalities · One-Step & Two-Step Equations

5 core skills3% total weight

0/5 completed

5 skills to mastery

Equations with Variables on Both SidesAvailable

Long-form

Representing ConstraintsAvailable

Long-form

Two-Step EquationsAvailable

Long-form

One-Step EquationsAvailable

Long-form

Linear Equation Word ProblemsAvailable

Long-form

Expressions, Equations & Inequalities · Inequalities & Solution Sets

4 core skills3% total weight

0/4 completed

4 skills to mastery

Compound InequalitiesAvailable

Long-form

One-Step InequalitiesAvailable

Long-form

Interpreting Inequality SolutionsAvailable

Long-form

Checking Boundary ValuesAvailable

Long-form

Ratios, Rates & Proportional Reasoning · Ratios & Unit Rates

6 core skills3% total weight

0/6 completed

6 skills to mastery

Representing RatiosAvailable

Long-form

Identifying Constant RateAvailable

Long-form

Unit RatesAvailable

Long-form

Unit Rate with FractionsAvailable

Long-form

Ratio Problem-SolvingAvailable

Long-form

Writing & Simplifying RatiosAvailable

Long-form

Ratios, Rates & Proportional Reasoning · Percents, Markup & Interest

3 core skills4% total weight

0/3 completed

3 skills to mastery

Percent of a QuantityAvailable

Long-form

Converting Forms StrategicallyAvailable

Long-form

Simple InterestAvailable

Long-form

Ratios, Rates & Proportional Reasoning · Proportions & Scaling

5 core skills4% total weight

0/5 completed

5 skills to mastery

Determining ProportionsAvailable

Long-form

y=kx & Constant of ProportionalityAvailable

Long-form

Solving ProportionsAvailable

Percent Increase/DecreaseAvailable

Long-form

Proportional GraphsAvailable

Long-form

Ratios, Rates & Proportional Reasoning · Proportional Reasoning with Similarity

4 core skills4% total weight

0/4 completed

4 skills to mastery

Modeling Proportional RelationshipsAvailable

Long-form

Constant Rate ProblemsAvailable

Long-form

Proportional vs. Non-ProportionalAvailable

Long-form

Scale Factor EffectsAvailable

Long-form

Number System & Operations · Decimals & Percent Connections

4 core skills3% total weight

0/4 completed

4 skills to mastery

Converting Fractions & DecimalsAvailable

Long-form

Converting Decimals & PercentsAvailable

Long-form

Estimating Decimals & PercentsAvailable

Long-form

Decimal OperationsAvailable

Long-form

Number System & Operations · Integers & Rational Numbers

5 core skills3% total weight

0/5 completed

5 skills to mastery

Adding & Subtracting Rational NumbersAvailable

Long-form

Rational Number Word ProblemsAvailable

Long-form

Multiplying & Dividing Rational NumbersAvailable

Long-form

Opposites & Absolute ValueAvailable

Long-form

Ordering Rational NumbersAvailable

Long-form

Number System & Operations · Fraction Operations & Meaning

4 core skills3% total weight

0/4 completed

4 skills to mastery

Fractions as DivisionAvailable

Long-form

Adding & Subtracting FractionsAvailable

Long-form

Multiplying FractionsAvailable

Long-form

Dividing FractionsAvailable

Long-form

Number System & Operations · Place Value, Factors & Multiples

4 core skills2% total weight

0/4 completed

4 skills to mastery

Factors & MultiplesAvailable

Long-form

Prime FactorizationAvailable

Long-form

Place ValueAvailable

Long-form

GCF & LCMAvailable

Long-form

Number System & Operations · Exponents, Roots & Scientific Notation

4 core skills4% total weight

0/4 completed

4 skills to mastery

Integer ExponentsAvailable

Long-form

Exponent RulesAvailable

Long-form

Scientific NotationAvailable

Long-form

Operations with Scientific NotationAvailable

Long-form

Math Practices & Problem Solving · Tools, Modeling & Perseverance

4 core skills8% total weight

0/4 completed

4 skills to mastery

Mathematical ModelingAvailable

Long-form

Recognizing PatternsAvailable

Long-form

Choosing Mathematical ToolsAvailable

Long-form

Problem-Solving PerseveranceAvailable

Long-form

Math Practices & Problem Solving · Reasoning, Precision & Structure

4 core skills7% total weight

0/4 completed

4 skills to mastery

Explaining ReasoningAvailable

Long-form

Using Mathematical StructureAvailable

Long-form

Checking ReasonablenessAvailable

Long-form

Precision & UnitsAvailable

Long-form

Geometry & Measurement · Area, Surface Area & Volume

5 core skills6% total weight

0/5 completed

5 skills to mastery

Volume of PrismsAvailable

Long-form

Surface Area with NetsAvailable

Long-form

Multi-Step Measurement ProblemsAvailable

Long-form

Circle Area & CircumferenceAvailable

Long-form

Area of Polygons & CompositesAvailable

Long-form

Geometry & Measurement · Angle Relationships & Geometric Reasoning

4 core skills4% total weight

0/4 completed

4 skills to mastery

Parallel Lines & TransversalsAvailable

Long-form

Triangle Angle RelationshipsAvailable

Long-form

Pythagorean Theorem: Right TrianglesAvailable

Long-form

Pythagorean Theorem: DistanceAvailable

Long-form

Geometry & Measurement · Transformations & Similarity

4 core skills4% total weight

0/4 completed

4 skills to mastery

Similarity & Scale ProblemsAvailable

Long-form

Dilations & SimilarityAvailable

Long-form

Describing TransformationsAvailable

Long-form

Triangle SimilarityAvailable

Long-form

Functions · Linear Functions & Modeling

4 core skills8% total weight

0/4 completed

4 skills to mastery

Recognizing Linear FunctionsAvailable

Long-form

Linear Function ModelingAvailable

Long-form

Interpreting Linear ModelsAvailable

Long-form

Graphing Linear FunctionsAvailable

Long-form

Functions · Functions as Input–Output Rules

4 core skills6% total weight

0/4 completed

4 skills to mastery

Function RulesAvailable

Long-form

Comparing FunctionsAvailable

Long-form

Determining FunctionsAvailable

Long-form

Evaluating FunctionsAvailable

Long-form

Statistics & Probability · Probability

3 core skills6% total weight

0/3 completed

3 skills to mastery

Probability SimulationsAvailable

Long-form

Simple Probability & ComplementsAvailable

Long-form

Understanding ProbabilityAvailable

Long-form

Statistics & Probability · Descriptive Statistics (Distributions)

5 core skills5% total weight

0/5 completed

5 skills to mastery

Describing Distribution ShapeAvailable

Long-form

Interpreting Box PlotsAvailable

Long-form

Comparing DistributionsAvailable

Long-form

Data DisplaysAvailable

Long-form

Measures of Center & VariabilityAvailable

Long-form

Statistics & Probability · Bivariate Data & Linear Trends

3 core skills3% total weight

0/3 completed

3 skills to mastery

Scatter Plots & AssociationAvailable

Long-form

Correlation & CausationAvailable

Long-form

Fitting Lines to DataAvailable

Long-form