Binomial Game
To multiply binomials, use the FOIL method (First, Outside, Inside, Last) or the distributive property. The FOIL method involves multiplying the First terms of each binomial, then the Outer terms, then the Inner terms, and finally the Last terms, combining any like terms in the final step. Alternatively, you can distribute each term in the first binomial to every term in the second binomial and then simplify by combining like terms. Scroll down the page for a more detailed explanation.
 
The game will challenge you to multiply two binomials and provide the resulting trinomial. You will need to give the slope and y-intercept of the line. If you get an answer wrong, it will show you the correct solution.
 
When you have mastered this game, then challenge yourself with the Multiply Binomials Game where the coefficients of the variable is not 1.
 

 

How to Play the Binomial Game
The game will challenge you to multiply two binomials and provide the resulting trinomial.
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 binomials in the form (y + b)(y + d).
   
3. Enter Your Answer: Enter in the coefficients for y² and y and the constant. 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 find the Binomial
To multiply binomials, use the FOIL method (First, Outside, Inside, Last) or the distributive property. The FOIL method involves multiplying the First terms of each binomial, then the Outer terms, then the Inner terms, and finally the Last terms, combining any like terms in the final step. Alternatively, you can distribute each term in the first binomial to every term in the second binomial and then simplify by combining like terms.
Multiply Binomials
Method 1: FOIL
FOIL is an acronym that helps you remember the order of multiplication for two binomials.
First: Multiply the first term in each binomial.
Example: (x + 2)(x + 3) → x × x = x²
Outer: Multiply the two outer terms in the expression.
Example: (x + 2)(x + 3) → x × 3 = 3x
Inner: Multiply the two inner terms in the expression.
Example: (x + 2)(x + 3) → 2 × x = 2x
Last: Multiply the last term in each binomial.
Example: (x + 2)(x + 3) → 2 × 3 = 6
After performing these four steps, you will have four products. Combine any like terms to simplify your final answer.
Example: x² + 3x + 2x + 6 = x² + 5x + 6
 

Method 2: Distributive Property
This method is the same as the FOIL method but uses more direct language.
Distribute the first term: of the first binomial to every term in the second binomial.
Example: (x + 2)(x + 3) → x(x + 3) = x × x + x × 3 = x² + 3x
Distribute the second term: of the first binomial to every term in the second binomial.
Example: → 2(x + 3) = 2 × x + 2 × 3 = 2x + 6
Combine: the results from the previous steps.
Example: (x² + 3x) + (2x + 6)
Simplify: by combining any like terms.
Example: x² + 3x + 2x + 6 = x² + 5x + 6
 

The video gives a clear, step-by-step approach to multiply binomials using the FOIL method.

• Show Video

 

Free Algebra Games

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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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