Solve Quadratic Equations Game
Solving a quadratic equation means finding the value(s) of the variable that make the equation true. A quadratic equation is an equation that can be written in the standard form: ax² + bx + c = 0, where a, b, and c are coefficients. Scroll down the page for a more detailed explanation.
 
Thus game will require you to solve a quadratic equation where the coefficient of x² is 1 and the equation can be factored easily using mental math. The game has two steps. In the first step, rewrite the quadratic equation in the factored form as two binomials. In the second step, give the solutions for x. If you get an answer wrong, the game will show you the correct solution.
 
Check out this other two games:
Solve Quadratic Equations (a > 1)
Solve Quadratic Equations (use the quadratic formula)
 

 

How to Play the Solve Quadratic Equations Game
Thus game will challenge you solve a quadratic equation where the coefficient of x² is 1.
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. Step 1: Rewrite the quadratic equation in the factored form as two binomials. Remember to enter the “+” and “-” symbols as well.
   
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. Step 2: Enter the solutions for x.
   
6. 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.
   
7. 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.
8. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to Solve Quadratic Equations
Solve Quadratic Equations
Factoring Simple Trinomials (a=1)
This method is used for quadratics in the form x²+bx+c=0. You need to find two numbers that:

1. Multiply to the constant term (c).
   
2. Add to the middle coefficient (b).
    
   Example: Solve for x in x²+7x+12=0
   Find the two numbers: Look for two numbers that multiply to 12 and add to 7. The numbers are 3 and 4.
   3×4=12
   3+4=7
   Write the factored form: Use the two numbers you found to write the two binomials.
   (x+3)(x+4)=0
   Apply the Zero Product Property: Set each binomial equal to zero and solve.
   x+3=0⟹x=−3
   x+4=0⟹x=−4
   The solutions are x=−3 and x=−4.
    
   

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

• Show Video

 

Free Algebra Games

• Algebraic Expressions

  Evaluate Algebraic Expressions
  Evaluate Expressions (Exponents)
  

  Distributive Property
  Distributive Property (Exponents)
  

  Simplify Algebraic Expressions
  Add or Subtract Polynomials
  

  Multiply Binomials (y+b)(y+d)
  Multiply Binomials (ay+b)(cy+d)
  

  Factor Linear Expressions
  Factor Binomials
  Factor Difference of Two Squares
  Factor Perfect Square Trinomials
  Factor Trinomials
  

• Algebraic Equations

  Solve Equations (1-step or 2-step)
  Solve Equations with variables on both sides
  Combine Like Terms & Solve Equations (2(3x-2) + 9 = -5x)
  

  Solve for a Variable (add or subtract)
  Solve Literal Equations (multiply or divide)
  

  Standard Form to Slope-Intercept Form
  Slope-Intercept Form to Standard Form
  

  Solve Quadratic Equations (a = 1)
  Solve Quadratic Equations (a > 1)
  Solve Quadratic Equations (use the quadratic formula)
  

  Solve Systems of Equations (by substitution)
  Solve Systems of Equations (by elimination)
  

• Algebraic Inequalities

  Inequalities on the Number Line (may not work well on the mobile)
  Solve Inequalities (1-step or 2-step)
  

 

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