Simplifying Rational Expressions with Like Denominators

This lesson covers simplifying rational expressions with like denominators, focusing on identifying excluded values and simplifying expressions through factorization. It also includes solving a word problem involving perimeter calculation. Key concepts include understanding excluded values, simplification techniques, and applying algebraic rules.

What is the result when the denominator of a rational expression is zero?

• The expression equals one

• The expression cannot be simplified

• The expression is undefined

• The expression equals zero

What must 'p' equal to make the denominator zero in the expression p + 4?

• -4

• 1

• 4

• 0

In the expression 3g - 5, what value of 'g' makes the term undefined?

• 5

• 3

• -5

• 0

What simplifies to 2a when dividing 4a^3 by 2a^2?

• a

• 2a

• 4a

• 2a^2

What is the simplest form of the expression D + 1 over D?

• D + 1

• D

• 1

• Cannot be simplified

What is the excluded value for the expression with denominator 5z - 10?

• 0

• 2

• 5

• 10

After canceling common factors, what is the simplified form of 3z^2 - 6z over 5z - 10?

• Cannot be simplified

• 3z over 5

• 3 over 5

• z over 5

What is the excluded value for the expression with denominator x^2y^2?

• x = 0 and y = 0

• No excluded values

• x = 0 or y = 0

• x = 1 and y = 1

What is the simplified form of 5xy - 10x over xy^2 after canceling common factors?

• 5y - 2 over y

• 5y - 2

• 5 over y

• y - 2 over 5

What is the simplified form of the perimeter expression for a frame with sides 2x + 5 and 6 - x?

• 2x + 11 over y

• x + 11 over 2y

• x + 11 over y

• Cannot be simplified further