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Mathematics

Algebra 1

Expressions, equations, functions, and linear relationships.

  • 11 chapters
  • 54 lessons
  • 54 visual guides
  • 54 videos
  • All free
Start hereVariables and ExpressionsFoundations of Algebra · Represent quantities and evaluate expressions with units.Start lesson

Chapters

1

Foundations of Algebra

Variables, expressions, arithmetic properties, and balanced equations.

4 lessons

Flashcards Practice test
  1. 1.1Variables and ExpressionsRepresent quantities and evaluate expressions with units.VideoVisual guide
  2. 1.2Order of Operations and PropertiesUse grouping and properties without changing expression values.VideoVisual guide
  3. 1.3Integers, Fractions, and Absolute ValueCompute with signed numbers and interpret distance.VideoVisual guide
  4. 1.4Equations as BalanceInterpret equalities and preserve them with inverse operations.VideoVisual guide
2

Solving Linear Equations

One-step to multi-step equations, variables on both sides, formulas, and word problems.

5 lessons

Flashcards Practice test
  1. 2.1One-Step and Two-Step EquationsLearn and apply one-step and two-step equations using equations, examples, and interpretation.VideoVisual guide
  2. 2.2Multi-Step EquationsLearn and apply multi-step equations using equations, examples, and interpretation.VideoVisual guide
  3. 2.3Variables on Both SidesLearn and apply variables on both sides using equations, examples, and interpretation.VideoVisual guide
  4. 2.4Literal Equations and FormulasLearn and apply literal equations and formulas using equations, examples, and interpretation.VideoVisual guide
  5. 2.5Equation Word ProblemsLearn and apply equation word problems using equations, examples, and interpretation.VideoVisual guide
3

Inequalities and Absolute Value

Solving and graphing inequalities, compound inequalities, absolute value, and real-world constraints.

5 lessons

Flashcards Practice test
  1. 3.1One-Variable InequalitiesLearn and apply one-variable inequalities using equations, examples, and interpretation.VideoVisual guide
  2. 3.2Compound InequalitiesLearn and apply compound inequalities using equations, examples, and interpretation.VideoVisual guide
  3. 3.3Absolute Value EquationsLearn and apply absolute value equations using equations, examples, and interpretation.VideoVisual guide
  4. 3.4Absolute Value InequalitiesLearn and apply absolute value inequalities using equations, examples, and interpretation.VideoVisual guide
  5. 3.5Modeling ConstraintsLearn and apply modeling constraints using equations, examples, and interpretation.VideoVisual guide
4

Functions and Representations

Relations and functions, domain and range, function notation, and arithmetic sequences.

5 lessons

Flashcards Practice test
  1. 4.1Relations and FunctionsLearn and apply relations and functions using equations, examples, and interpretation.VideoVisual guide
  2. 4.2Domain and RangeLearn and apply domain and range using equations, examples, and interpretation.VideoVisual guide
  3. 4.3Function NotationLearn and apply function notation using equations, examples, and interpretation.VideoVisual guide
  4. 4.4Tables, Graphs, and EquationsLearn and apply tables, graphs, and equations using equations, examples, and interpretation.VideoVisual guide
  5. 4.5Arithmetic SequencesLearn and apply arithmetic sequences using equations, examples, and interpretation.VideoVisual guide
5

Linear Functions and Graphs

Slope, slope-intercept and point-slope form, parallel and perpendicular lines, and linear models.

5 lessons

Flashcards Practice test
  1. 5.1Rate of Change and SlopeLearn and apply rate of change and slope using equations, examples, and interpretation.VideoVisual guide
  2. 5.2Slope-Intercept FormLearn and apply slope-intercept form using equations, examples, and interpretation.VideoVisual guide
  3. 5.3Point-Slope and Standard FormsLearn and apply point-slope and standard forms using equations, examples, and interpretation.VideoVisual guide
  4. 5.4Parallel and Perpendicular LinesLearn and apply parallel and perpendicular lines using equations, examples, and interpretation.VideoVisual guide
  5. 5.5Linear Modeling and ResidualsLearn and apply linear modeling and residuals using equations, examples, and interpretation.VideoVisual guide
6

Systems of Linear Equations

Solving systems by graphing, substitution, and elimination, plus special cases and word problems.

5 lessons

Flashcards Practice test
  1. 6.1Graphing SystemsLearn and apply graphing systems using equations, examples, and interpretation.VideoVisual guide
  2. 6.2SubstitutionLearn and apply substitution using equations, examples, and interpretation.VideoVisual guide
  3. 6.3EliminationLearn and apply elimination using equations, examples, and interpretation.VideoVisual guide
  4. 6.4Special CasesLearn and apply special cases using equations, examples, and interpretation.VideoVisual guide
  5. 6.5Systems in ContextLearn and apply systems in context using equations, examples, and interpretation.VideoVisual guide
7

Exponents and Exponential Functions

Exponent rules, scientific notation, exponential growth and decay, and linear versus exponential change.

5 lessons

Flashcards Practice test
  1. 7.1Integer ExponentsLearn and apply integer exponents using equations, examples, and interpretation.VideoVisual guide
  2. 7.2Scientific NotationLearn and apply scientific notation using equations, examples, and interpretation.VideoVisual guide
  3. 7.3Exponential GrowthLearn and apply exponential growth using equations, examples, and interpretation.VideoVisual guide
  4. 7.4Exponential DecayLearn and apply exponential decay using equations, examples, and interpretation.VideoVisual guide
  5. 7.5Linear Versus Exponential ChangeLearn and apply linear versus exponential change using equations, examples, and interpretation.VideoVisual guide
8

Polynomials and Operations

Polynomial vocabulary, adding, subtracting, and multiplying polynomials, special products, and factoring out a GCF.

5 lessons

Flashcards Practice test
  1. 8.1Polynomial VocabularyLearn and apply polynomial vocabulary using equations, examples, and interpretation.VideoVisual guide
  2. 8.2Adding and Subtracting PolynomialsLearn and apply adding and subtracting polynomials using equations, examples, and interpretation.VideoVisual guide
  3. 8.3Multiplying Monomials and BinomialsLearn and apply multiplying monomials and binomials using equations, examples, and interpretation.VideoVisual guide
  4. 8.4Special ProductsLearn and apply special products using equations, examples, and interpretation.VideoVisual guide
  5. 8.5Factoring Out a GCFLearn and apply factoring out a gcf using equations, examples, and interpretation.VideoVisual guide
9

Factoring and Quadratic Equations

Factoring trinomials and differences of squares, then solving quadratics by factoring, completing the square, and the quadratic formula.

5 lessons

Flashcards Practice test
  1. 9.1Factoring TrinomialsLearn and apply factoring trinomials using equations, examples, and interpretation.VideoVisual guide
  2. 9.2Difference of SquaresLearn and apply difference of squares using equations, examples, and interpretation.VideoVisual guide
  3. 9.3Zero-Product PropertyLearn and apply zero-product property using equations, examples, and interpretation.VideoVisual guide
  4. 9.4Completing the SquareLearn and apply completing the square using equations, examples, and interpretation.VideoVisual guide
  5. 9.5Quadratic Formula and DiscriminantLearn and apply quadratic formula and discriminant using equations, examples, and interpretation.VideoVisual guide
10

Quadratic Functions

Parabolas, vertex and intercepts, forms of a quadratic, maximum and minimum problems, and comparing function types.

5 lessons

Flashcards Practice test
  1. 10.1Parabolas and TransformationsLearn and apply parabolas and transformations using equations, examples, and interpretation.VideoVisual guide
  2. 10.2Vertex and AxisLearn and apply vertex and axis using equations, examples, and interpretation.VideoVisual guide
  3. 10.3Intercepts and FormsLearn and apply intercepts and forms using equations, examples, and interpretation.VideoVisual guide
  4. 10.4Maximum and Minimum ModelsLearn and apply maximum and minimum models using equations, examples, and interpretation.VideoVisual guide
  5. 10.5Comparing Linear, Exponential, and QuadraticLearn and apply comparing linear, exponential, and quadratic using equations, examples, and interpretation.VideoVisual guide
11

Data, Statistics, and Course Synthesis

Scatterplots, regression lines and residuals, two-way tables, and a capstone review of the whole course.

5 lessons

Flashcards Practice test
  1. 11.1Scatterplots and AssociationLearn and apply scatterplots and association using equations, examples, and interpretation.VideoVisual guide
  2. 11.2Linear Regression and ResidualsLearn and apply linear regression and residuals using equations, examples, and interpretation.VideoVisual guide
  3. 11.3Two-Way TablesLearn and apply two-way tables using equations, examples, and interpretation.VideoVisual guide
  4. 11.4Interpreting Models and LimitsLearn and apply interpreting models and limits using equations, examples, and interpretation.VideoVisual guide
  5. 11.5Algebra 1 CapstoneLearn and apply algebra 1 capstone using equations, examples, and interpretation.VideoVisual guide