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Algebra 1

10 units · 56 topics · 1,829 lessons · Grade 9

Equations, inequalities, functions, linear and exponential models, polynomials, and quadratics: the foundation for every math class after it.

  1. 1Foundations of Algebra
  2. 2Solving Equations
  3. 3Solving Inequalities
  4. 4Functions
  5. 5Linear Functions
  6. 6Systems of Equations and Inequalities
  7. 7Exponents and Exponential Functions
  8. 8Polynomials and Factoring
  9. 9Quadratic Functions and Equations
  10. 10Data and Statistics
1

Foundations of Algebra

The language of algebra: expressions, real numbers, and the properties that let you rewrite them.

  1. 1Variables and ExpressionsUp next60 lessons
  2. 2Order of Operations39 lessons
  3. 3Real Numbers and the Number Line33 lessons
  4. 4Properties of Real Numbers31 lessons
  5. 5The Distributive Property and Combining Like Terms43 lessons
2

Solving Equations

Undoing operations to find the value that makes an equation true.

  1. 1One-Step and Two-Step Equations37 lessons
  2. 2Multi-Step Equations32 lessons
  3. 3Equations with Variables on Both Sides31 lessons
  4. 4Literal Equations and Formulas43 lessons
  5. 5Ratios, Rates, and Proportions33 lessons
  6. 6Absolute Value Equations46 lessons
3

Solving Inequalities

Solving and graphing inequalities, including compound and absolute value inequalities.

  1. 1Writing and Graphing Inequalities21 lessons
  2. 2Solving Linear Inequalities26 lessons
  3. 3Compound Inequalities40 lessons
  4. 4Absolute Value Inequalities31 lessons
4

Functions

What makes a relation a function, and how to read, write, and graph functions.

  1. 1Relations and Functions42 lessons
  2. 2Function Notation29 lessons
  3. 3Domain and Range43 lessons
  4. 4Graphing Functions and Key Features5 lessons
  5. 5Arithmetic Sequences19 lessons
5

Linear Functions

Slope, the forms of a line, and modeling with linear functions.

  1. 1Rate of Change and Slope47 lessons
  2. 2Slope-Intercept Form41 lessons
  3. 3Point-Slope Form27 lessons
  4. 4Standard Form and Intercepts24 lessons
  5. 5Parallel and Perpendicular Lines41 lessons
  6. 6Transformations of Linear Functions18 lessons
  7. 7Scatter Plots and Lines of Best Fit43 lessons
  8. 8Piecewise and Absolute Value Functions36 lessons
6

Systems of Equations and Inequalities

Finding where two equations or inequalities are true at once.

  1. 1Solving Systems by Graphing34 lessons
  2. 2Solving Systems by Substitution26 lessons
  3. 3Solving Systems by Elimination32 lessons
  4. 4Applications of Linear SystemsCoverage growing
  5. 5Linear Inequalities in Two Variables16 lessons
  6. 6Systems of Linear Inequalities13 lessons
7

Exponents and Exponential Functions

Exponent rules, radicals, and functions that grow by multiplying.

  1. 1Properties of Exponents35 lessons
  2. 2Radicals and Rational Exponents35 lessons
  3. 3Exponential Functions29 lessons
  4. 4Exponential Growth and Decay31 lessons
  5. 5Geometric Sequences19 lessons
8

Polynomials and Factoring

Adding, multiplying, and factoring polynomials.

  1. 1Adding and Subtracting Polynomials41 lessons
  2. 2Multiplying Polynomials36 lessons
  3. 3Special Products36 lessons
  4. 4Factoring the Greatest Common Factor30 lessons
  5. 5Factoring Trinomials38 lessons
  6. 6Factoring Special Cases29 lessons
9

Quadratic Functions and Equations

Parabolas and four ways to solve quadratic equations.

  1. 1Graphing Quadratic Functions20 lessons
  2. 2Vertex Form and Transformations51 lessons
  3. 3Solving Quadratics by Factoring9 lessons
  4. 4Solving Quadratics with Square Roots23 lessons
  5. 5Completing the Square46 lessons
  6. 6The Quadratic Formula and the Discriminant36 lessons
  7. 7Comparing Linear, Exponential, and Quadratic Models51 lessons
10

Data and Statistics

Summarizing data with center, spread, and displays.

  1. 1Measures of Center and Spread34 lessons
  2. 2Box Plots and Histograms28 lessons
  3. 3Two-Way Tables41 lessons
  4. 4Correlation and Causation46 lessons