Multiply Binomials Game
This Multiply Binomials Game is a step up in difficulty from the Simple Binomials Game. In this game, the coefficients of the variable is not 1 and are of the form (ax + b)(cx + d).
 
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.
 

Multiplying Binomials

Use the FOIL method to find the product.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Find the product:

Answer:

y² y

Check Next

Back to Menu

 

How to Play the Multiply Binomials 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 Multiply Binomials
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: (5x + 2)(2x - 3) → 5x × 2x = 10x²
Outer: Multiply the two outer terms in the expression.
Example: (5x + 2)(2x - 3) → 5x × -3 = -15x
Inner: Multiply the two inner terms in the expression.
Example: (5x + 2)(2x - 3) → 2 × 2x = 4x
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: 10x² - 15x + 4x - 6 = 10x² - 11x - 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: (5x + 2)(2x - 3) → 5x(2x - 3) = 5x × 2x + 5x × -3 = 10x² - 15x
Distribute the second term: of the first binomial to every term in the second binomial.
Example: → 2(2x - 3) = 2 × 2x + 2 × -3 = 4x - 6
Combine: the results from the previous steps.
Example: (10x² - 15x) + (4x - 6)
Simplify: by combining any like terms.
Example: 10x² - 15x + 4x - 6 = 10x² - 11x - 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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Inequalities on the Number Line	Solve Inequalities	Multiply Binomials (y+b)(y+d)
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