Quadratic Word Problem Worksheets

Printable “Quadratic Equations” worksheets:
Solve Quadratic Equation (use factoring)
Solve Word Problems using Quadratic Equations
Sketching Quadratic Graphs

Rewrite Expressions in Completed-Squared Form
Solve Quadratic Equation (use completing the square)
Solve Quadratic Equation (use quadratic formula)
Discriminant in the Quadratic Formula

Examples, solutions, videos, and worksheets to help Algebra 1 students learn how to interpret word problems to create quadratic equations and solve them using factoring and the zero product property.

How to solve word problems using quadratic equations?

Quadratic equations can be used to model a variety of real-world situations. To solve these problems, you’ll need to:

1. Translate the problem into a quadratic equation:

• Identify the unknown quantity and assign it a variable (usually x).
• Use the information given in the problem to set up an equation.

2. Solve the quadratic equation:
   You can solve quadratic equations using various methods, such as:
   Factoring: Break the quadratic equation into factors and set each factor equal to zero.
   Using the quadratic formula: A formula that directly gives the solutions of a quadratic equation.
   Completing the square: A technique to transform the quadratic equation into a perfect square form.
   
3. Interpret the solution:

• Once you’ve found the solutions to the quadratic equation, interpret them in the context of the original problem.
• Discard any solutions that don’t make sense in the real-world context.

Have a look at this video if you need to review how to solve quadratic word problems.

• Solving Quadratic Equations by Factoring

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Quadratic Word Problem Worksheets.

 

More Quadratic Word Problem Worksheets

Printable
(Answers on the second page.)
Quadratic Word Problem Worksheet #1
Quadratic Word Problem Worksheet #2
Quadratic Word Problem Worksheet #3

Online or Generated
Factor Binomials by Difference of Squares
Factor Perfect Square Trinomials

Factor Trinomials or Quadratic Equations
Factor Different Types of Trinomials 1
Factor Different Types of Trinomials 2

Solve Trinomials using Quadratic Formula
Find Discriminants of Quadratic Polynomials

Related Lessons & Worksheets

Quadratic Word Problems
Word Problems (Multiplication & Division)
2-Step Word Problems (Multiply/Divide/Add/Subtract)
Multi-step Word Problems (using +, -, ×)

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