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Quadratics

Learn to work fluently with quadratic expressions and equations.

55 Lessons721 Exercises

Multiplying Expressions

Multiplying Binomials

Finding the Units

Finding Linear Terms

Level Review

Finding Combined Linear Terms

Variables with a Multiple

Linear and Constant Terms

Finding All the Terms

Level Review

Undistributing

Finding One Factor

Finding Both Sides

Factoring Quadratics

Level Review

Multiplying Signed Constants

Multiplying Signed Linear

Linear with Coefficients

Finding Signs

Linear and Constant Terms

Level Review

Factoring with Negatives

Finding Numbers and Signs

Leading Coefficients

Finding Entire Factors

Level Review

Solutions to Quadratic Equations

Plotting Solutions

Plotting x-Intercepts

Factors from Intercepts

Factored Form

Level Review

Solutions on a Graph

Solutions to Quadratics

Solving by Factoring

The Importance of Zero

Hard-to-factor Expressions

Level Review

Shifting Up and Down

Graphing a Vertical Shift

Shifting Right and Left

Graphing a Horizontal Shift

Finding the New Vertex

Stretching and Reflecting

Graphing a Vertical Stretch

Using All the Parameters

Graphing from Vertex Form

Level Review

Finding Solutions

How Many Solutions

Splitting Equations

Equations with More Steps

Irrational Solutions

Level Review

Squaring Binomials

Perfect Square Trinomials

Solving by Factoring Perfect Squares

Completing the Square

Solving by Completing the Square

Level Review

Rewriting in Vertex Form

Using Complete the Square

Vertex Form with Leading Coefficients

Maximum or Minimum Value

Completing the Square with Leading Coefficients

Level Review


Course description

In this course, you'll build visual intuition for multiplying linear terms as well as factoring quadratic expressions. You'll also graph quadratic functions and learn techniques for solving quadratic equations.


Topics covered

  • Multiplying linear expressions
  • Factoring quadratic expressions
  • Graphing the zeroes of a quadratic function
  • Solving quadratic equations by factoring
  • Graphing a quadratic function from vertex form