Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Curated OER
Solving Polynomial Equations
This learning exercise and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by...
Curated OER
Solving Equations by Factoring
For this algebra worksheet, learners use the Zero Product Property to solve polynomial equations by factoring. Application problems are included. The one page interactive worksheet contains fifty-four problems. The solution steps and...
Curated OER
Twenty-Two Solving Quadratic Equations by Factoring
For this quadratic equations worksheet, students solve twenty-two quadratic equations by factoring. The solutions are provided.
Curated OER
Twenty-Five Factoring to Solve Quadratic Equations in Preparation for the Math Regents Exam
In this factoring to solve quadratic equations worksheet, students solve twenty-five multiple choice and free response questions in preparation for the math regents exam. The solutions are provided.
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Factorize the Quadratic Equation
In this factoring the quadratic equation worksheet, students show their work as they factorize 5 problems. They use the workspace given on the page to show their work.
Curated OER
Two Methods Of Solving Quadratic Equations
In this quadratic equation learning exercise, students solve quadratic equations by factoring or by completing the square. Explanations and examples are provided prior to the exercise. This two-page learning exercise contains 14 problems.
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Quadratic Equations
In this quadratic equations worksheet, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by factoring.
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Quadratic Functions
In this algebra worksheet, students factor quadratic equations and graph their resulting parabola. They relate quadratics to real life scenario. There are 20 questions with an answer key.
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Radicals and Exponents
In this radicals and exponents instructional activity, high schoolers solve 25 short answer problems. Students simplify radical and exponential expressions. High schoolers factor quadratics and use the quadratic equation to solve...
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations instructional activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson plan to help classes see...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
Flipped Math
Greatest Common Factor
Break it down to solve it. Learners watch a video on how to factor out the greatest common factor for algebraic expressions. They see how to use factoring and the zero product property to solve polynomial equation and practice their...
Curated OER
Make Up Test on Solving Quadratics
For this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
Curated OER
Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
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Additional Practice Problems with Skills for Quadratic Functions and Equations
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, students plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations....
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
Curated OER
Introductory Algebra Chapter 10 Review
In this math worksheet, students solve the problems for the quadratic equations. They factor the equations and determine the probability of the two solutions.
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The Quadratic Formula
In this quadratic formula instructional activity, 9th graders identify and solve 20 different problems by applying the quadratic formula to each one. First, they read the lesson and examples to identify the quadratic formula. Then,...