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Mini-Quiz: Derivation of Quadratic Formula

by Ron Kurtus (updated 18 January 2022)

Take this Mini-Quiz to check your understanding of the lesson material.

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1. Why would you start the derivation going backwards?

You can see the steps used in a clever derivation

It is just done to trick you

The equation should be written backwards instead

2. What does (2ax + b)(2ax + b) equal?

It cannot be solved

4a²x² + 4abx + b²

4a²x² + b²

3. What does ± stand for?

Any value can be used

Minus a plus is zero

Plus or minus

If you got all three correct, you are on your way to becoming a Champion in Algebra. If you had problems, you had better look over the material again.

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Algebra topics

Mini-Quiz: Derivation of Quadratic Formula

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Algebra topics

Basics

• Definition of Algebra
• Purpose of Algebra

Terminolgy

• Terminology Used in Algebra
• Variables and Constants
• Operations and Symbols
• Algebraic Expressions

Properties

• Addition and Multiplication
• Product of Negative Numbers
• Algebra of Objects
• Imaginary Numbers

Expressions

• Combining Like Terms
• Multiplying Binomial Expressions

Exponents and roots

• Exponents
• Exponent Rules
• Multiplication with Exponents
• Division with Exponents
• Exponents to the Power of 10
• Square Roots
• Newton's Approximation

Equations

• Linear Equations
• Solving One Variable Equation

Quadratic equations

• Quadratic Equations
• Solving Equations by Factoring
• Completing the Square Method
• Using the Quadratic Formula
• Derivation of Quadratic Formula

Also see

• Algebra Survey Results
• Arithmetic
• Physical Science
• Chemistry
• Good Grades

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