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CK-12 Foundation
Ck 12: Algebra: Radical Equations
[Free Registration/Login may be required to access all resource tools.] Learn how to solve equations involving radicals.
Elias Saab
Math Drills: Roots of Polynomial Functions Quiz
An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...
Oswego City School District
Regents Exam Prep Center: Linear Quadratic Systems
The mathematics tutorial explores how to solve linear and quadratic systems of equations. The lesson consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes a worksheet that...
Analyze Math
Analyze Math: Quadratic Functions (1)
Students are introduced to quadratic functions. The tutorial explores the equation of a quadratic function, intercepts, graphing, and points of intersection. The activity consists of examples with detailed solutions.
Oswego City School District
Regents Exam Prep Center: Quadratic Inequalities
The mathematics tutorial explores quadratic inequalities. The lesson consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes a worksheet on matching graphs with equations.
Oswego City School District
Regents Exam Prep Center: Nature of Roots: Sum and Product
Use these materials for planning classroom instruction on roots of equations: a lesson with a quadratic equation investigation; practice questions with answers that will quiz students' grasp of solving quadratics and roots; and two...
Integrated Publishing
Integrated Publishing: Maximum and Minimum Points
An explanation of how to find maximum (or minimum) point of a quadratic equation, including graphs to enhance understanding. Includes several examples/exercises, with solutions on the page.
CK-12 Foundation
Ck 12: Find Imaginary Solutions
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Alabama Learning Exchange
Alex: Discover the Roots of a Polynomial Function
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Completing the Square
Seventeen problems present a variety of practice completing the square. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
Purple Math
Purplemath: System of Equations Word Problems
This lesson gives numerous word problems with thier solutions for problems with systems of equations. Go to the third problem on the lesson, about half way down the page to find a problem with a quadratic system.
Integrated Publishing
Internet Publishing: Equal or Double Roots
A demonstration of how to use a quadratic function's discriminant to determine if the function contains equal (double) roots, or real, unequal roots, and how to find them.
ClassFlow
Class Flow: The Discriminant
[Free Registration/Login Required] Flipchart on an introduction to the discriminant for quadratic equations to determine the number of solutions.
Windstream
Ojk's Precalculus Study Page: More Difficult Trig Equations
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Purple Math
Purplemath: Finding Quadratics From Their Zeroes
Students often have difficulty "working backwards" from the solution of a problem to its original question. Finding a polynomial, given its roots, is an example of a "working backwards" problem. Here are several examples using different...
Integrated Publishing
Integrated Publishing: Graphical Interpretation of Roots
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Help Algebra
Help algebra.com: Completing the Square
The process of completing the square is presented with a detailed description of the process and an example to show the work step by step. An example with a non-integer leading coefficient is also included.
PBS
Pbs: String Product: Y = X^2
Examine how a giant sculpture at the National Museum of Mathematics represents the solutions to the equation y=x^2. This video focuses on the basics of graphing quadratic functions and the relationship between x and y values along the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Compound Interest
Three problems offer practice with compound interest. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each step of your...
Purple Math
Purplemath: Solving Polynomials: How To
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Curated OER
Tex2html Wrap Inline575
This lesson demonstrates the solution process of various equations such as linear equations, equations containing radicals, equations containing absolute values, quadratic equations, equations involving fractions, polynomial equations,...