Quadratic Formula 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 Grade 7 and Grade 8 students learn how to solve quadratic equations using the quadratic formula.

How to solve quadratic equations using the quadratic formula?

There are three sets of solving equations using the quadratic formula.

• Quadratic Formula (rational solutions).
• Quadratic Formula (irrational solutions).
• Quadratic Formula (complex solutions).

These are the steps to solve a quadratic equation using the quadratic formula:

1. Write Down the Equation:
Start with the quadratic equation in the standard form
ax² + bx + c = 0, where a, b, and c are constants.
2. Identify Coefficients:
Identify the values of a, b, and c from the quadratic equation.
3. Apply the Quadratic Formula:
Use the quadratic formula to calculate the solutions of the equation:
There are two possible solutions, one with the positive square root and one with the negative square root.
5. Calculate Solutions: Substitute the values of a, b, and c into the formula and calculate the solutions for x.

Example:

The quadratic formula provides an accurate method to solve any quadratic equation, whether it has real or complex solutions.

Have a look at this video if you need to review how to solve quadratics equations by using the quadratic formula.

• Quadratic Formula

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

 

More Quadratic Formula Worksheets

Printable
(Answers on the second page.)
Quadratic Formula Worksheet #1 (rational solutions)
Quadratic Formula Worksheet #2 (irrational solutions)
Quadratic Formula Worksheet #3 (complex solutions)

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 Formula
Solve Equations using Quadratic Formula

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