Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions
Sure! Here's a number game that involves simplifying rational expressions:
Title: "Rational Race"
Objective: Simplify the given rational expression and find the correct answer.
Rules:
1. Each player will be given a rational expression to simplify.
2. Players will have to simplify the expression to its simplest form by canceling out common factors.
3. The player who correctly simplifies the expression in the shortest time wins the round.
4. If multiple players solve the expression correctly simultaneously, the player who solved it using less number of steps wins.
5. The player who wins the most rounds wins the game.
Example Question:
Simplify the rational expression: (6x^2 - 18x + 12) / (3x^2 - 9x)
Values that may not work:
1. Division by zero is not allowed. Therefore, values of x that make the denominator equal to zero should be excluded from the possible values. In this case, x = 0 and x = 3 are not valid solutions.
Skill: Yes, this game utilizes the skill of simplifying rational expressions.
Feel free to create more questions for your classmates to solve and have fun playing the game!