Evaluate Expressions with Exponents Game
This game is a step up in difficulty from the evaluate expression game which do not have exponents.
To evaluate expressions with exponents, first substitute the variable’s value into the expression, using parentheses to maintain proper order, especially for negative numbers. Then, use the order of operations (PEMDAS/BODMAS) to simplify the expression. Scroll down the page for a more detailed explanation.
 
This game generates a random expression that has exponents and two variables and challenges you to substitute values for the variables and calculate the correct answer. If you give a wrong answer, the game will provide the correct answer.
 

 

How to Play the Evaluate Expressions with Exponents Game
The game will show you an algebraic expression. Your task is to evaluate the algebraic expression by substituting the given values for the variables.
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 see an algebraic expression. Evaluate the algebraic expression by substituting the given values for the variables.
   
3. Enter Your Answer: Enter your answer at the (?).
   
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 Evaluate Expressions with Exponents
To evaluate expressions with exponents, first substitute the variable’s value into the expression, using parentheses to maintain proper order, especially for negative numbers. Then, use the order of operations (PEMDAS/BODMAS) to simplify the expression: Parentheses, Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).
Evaluate Expressions with Exponents

1. Substitute the given value for the variable into the expression. Be sure to place the value in parentheses to properly handle negative signs when they are raised to a power.
   Example: If x = -5, and the expression is x², substitute as (-5)² not -5².
   
2. Evaluate the exponent. The exponent indicates repeated multiplication of the base number.
   Example: In 2x² (where x = -4), evaluate (-4)² first: -4 × -4 = 16. The expression becomes 2(16).
   
3. Perform multiplication and division, working from left to right.
   Example: 2(16) becomes 32.
   
4. Perform addition and subtraction, working from left to right.
   Example: If you had 3x² - 3x - 5 for x = -4, after evaluating the exponent, it would be 3(16) - 3(-4) - 5.
   Next, do the multiplication: 48 - 3(-4) - 5.
   Then, the other multiplication: 48 - (-12) - 5.
   Then perform the subtraction and addition from left to right: 48 + 12 - 5 = 60 - 5 = 55.
    
   

The video gives a clear, step-by-step approach to evaluate algebraic expressions with exponents using substitution.

• 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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