Systems of Equations Game
To solve a system of equations by substitution, first, solve one equation for one variable to express it in terms of the other. Then, substitute that expression into the second equation, which yields a single equation with only one variable that you can solve. Finally, substitute the solved variable back into one of the original equations to find the value of the other variable. Scroll down the page for a more detailed explanation.
 
The game will provide a system of two linear equations, with one equation already solved for a variable, making it suitable for the substitution method. If you get an answer wrong, the game will show you the correct values for x and y. Check out this other Systems of Equations Game that may be more suitable for the elimination method.
 

 

How to Play the Systems of Equations Game
This game is designed to help you master the process of solving systems of equations.
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 two equations with variables x and y. Solve the systems of equations.
   
3. Enter Your Answer: Enter in the values for x and y. Remember to enter the negative symbol for negative numbers.
   
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 solve the Systems of Equations
To solve a system of equations by substitution, first, solve one equation for one variable to express it in terms of the other. Then, substitute that expression into the second equation, which yields a single equation with only one variable that you can solve. Finally, substitute the solved variable back into one of the original equations to find the value of the other variable.
Solve Systems of Equations
Here are the steps

1. Isolate a Variable:
   Choose one of the equations and solve it for one of the variables (either x or y).
   Example: If you have the equations x + 3y = 4 and x + y = 2, you could solve the second equation for x: x = 2 - y.
   
2. Substitute the Expression:
   Take the expression you found in Step 1 and substitute it into the other equation.
   Example: Substitute (2 - y) for x in the first equation: (2 - y) + 3y = 4.
   
3. Solve for the Remaining Variable:
   Simplify and solve the new equation for the single remaining variable.
   Example: 2 - y + 3y = 4 becomes 2 + 2y = 4. Subtracting 2 from both sides gives 2y = 2, so y = 1.
   
4. Find the Value of the Other Variable:
   Substitute the value you just found (e.g., y = 1) back into either of the original equations.
   Example: Using x + y = 2, substitute y = 1 to get x + 1 = 2, which means x = 1.
   
5. Check Your Solution:
   As a final step, substitute the values you found (e.g., x=1, y=1) into both original equations to ensure they are both true.
   Example:
   Equation 1: 1 + 3(1) = 4 (True)
   Equation 2: 1 + 1 = 2 (True)
    
   

Free Algebra Games

The video gives a clear, step-by-step approach to solve systems of equations using the substitution method.

• Show Video

 

• 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)
  

 

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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