Non-Permissible Values in Rational Expressions

This lesson covers equivalent rational expressions, explaining that two expressions are equivalent if they simplify to the same form. The teacher uses examples to illustrate this concept, such as comparing fractions and rational expressions. The lesson also emphasizes the importance of identifying non-permissible values, which are values that make the expression undefined. An example problem is provided to demonstrate how to simplify expressions and identify non-permissible values, ensuring students understand the conditions under which expressions are equivalent.

What does it mean for two rational expressions to be equivalent?

• They have the same coefficients.

• They have the same denominators.

• They have the same variables.

• They are equal after simplifying.

How can you determine if 4/6 is equivalent to 6/9?

• By multiplying them.

• By comparing their numerators.

• By adding them together.

• By simplifying both to their lowest terms.

What is a key consideration when dealing with rational expressions involving variables?

• Ensuring the denominators are different.

• Identifying non-permissible values.

• Ensuring the coefficients are equal.

• Checking if the variables are the same.

Which of the following expressions is equivalent to 4x/(x+1)?

• 4x * (x - 1)/(x + 1) * (x - 1)

• 4x^2/(x * (x + 1))

• 4x/(x - 1)

• 4x^2/(x^2 + x)

How do you simplify the expression 4x^2/(x * (x + 1))?

• By adding a constant to both sides.

• By canceling out common factors.

• By dividing the numerator by the denominator.

• By multiplying the numerator and denominator.

What is the result of simplifying 4x * (x - 1)/(x + 1) * (x - 1)?

• 4x/(x + 1)

• 4x/(x - 2)

• 4x/(x - 1)

• 4x/(x + 2)

Which expression is equivalent to 4x/(x + 1) after simplification?

• 4x * (x - 1)/(x + 1) * (x - 1)

• 4x^2/(x^2 + x)

• 4x/(x - 1)

• 4x^2/(x * (x + 1))

What are non-permissible values in rational expressions?

• Values that are equal to the numerator.

• Values that make the expression undefined.

• Values that make the expression zero.

• Values that simplify the expression.

For the expression 4x/(x+1), which value of x is non-permissible?

• x = 0

• x = -1

• x = 1

• x = 2

Which of the following is a non-permissible value for the expression 4x * (x - 1)/(x + 1) * (x - 1)?

• x = 0

• x = 1

• x = -1

• x = 2