Quadratic Formula Game
The quadratic formula to solve any quadratic equation in the form ax² + bx + c = 0, where a, b, and c are coefficients. The formula works even for equations that don’t factor easily or can’t be factored at all using integers. The formula is given as:
\( x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)
Scroll down the page for a more detailed explanation.
 
Thus game will require you to solve a quadratic equation where the equation cannot be factored easily. Use the formula to find the values for x. Round any decimals to two decimal places. If you get an answer wrong, the game will show you the correct solution.
 
Check out this other two games that solve quadratic equations by factoring:
Solve Quadratic Equations (a = 1)
Solve Quadratic Equations (a > 1)
 

Quadratic Formula Game

Solve for x. Round your answers to 2 decimal places.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Solve the equation:

(Round to 2 decimal places)

Check Next

Back to Menu

 

How to Play the Quadratic Formula Game
Thus game will challenge you solve a quadratic equation using the quadratic formula.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll be given a quadratic equation in the form x² + bx + c = 0.
   
3. Enter Your Answer: Enter in the 2 values for x. Round decimals to 2 decimal places.
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to use the Quadratic Formula
Step 1: Standardize the equation
Rewrite your equation in the standard form: ax² + bx + c = 0.
Step 2: Identify the coefficients
From the standard form, identify the values for a, b, and c. Be sure to include the sign of each coefficient.
Step 3: Substitute values into the quadratic formula
Plug the values of a, b, and c into the formula: \( x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)
Using parentheses when substituting is a good practice to avoid errors, especially with negative numbers.
Step 4: Simplify the expression
Calculate the value inside the square root first \( (b^{2}-4ac) \). This part is called the discriminant.
Simplify the square root.
Perform the addition and subtraction with the \(\pm \) sign to get two separate solutions: one using the plus sign and one using the minus sign.
Divide the result by \(2a\).
Step 5: Check your solutions
Substitute each of the two (x) values back into the original quadratic equation to verify that they both satisfy the equation.
 

The video gives a clear, step-by-step approach to solving quadratic equations using the quadratic formula.

• Show Video

 

Free Algebra Games
Distributive Property	Evaluate Algebraic Expressions	Evaluate Expressions (Exponents)
Simplify Algebraic Expressions	Solve Equations	Systems of Equations
Inequalities on the Number Line	Solve Inequalities	Multiply Binomials (y+b)(y+d)
Multiply Binomials (ay+b)(cy+d)	Factor Trinomials	Quadratic Formula

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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