Evaluating Rational Expressions and Substitutions

In this video tutorial, Anil Kumar explains how to evaluate rational expressions by substituting given values for variables. He demonstrates the process with two examples, showing step-by-step calculations. The video concludes with practice exercises for viewers to try on their own.

What are the given values for x and y in the video?

• x = 3, y = -2

• x = 1, y = -1

• x = 2, y = -3

• x = -2, y = 3

What is the first step in evaluating the expression 2xy / (x + y) when x = 2 and y = -3?

• Multiply x and y

• Substitute x and y

• Add x and y

• Divide x by y

What is the result of the expression 2xy / (x + y) after substituting x = 2 and y = -3?

• 6

• -12

• 12

• -6

In the expression 2xy / (x + y), what is the denominator after substitution?

• 1

• 0

• -1

• 5

What is the numerator of the expression 2xy / (x + y) after substitution?

• 6

• 12

• -12

• -6

What is the first step in evaluating the second expression?

• Add x and y

• Substitute x and y

• Multiply x and y

• Divide x by y

What is the result of the second expression after substitution?

• -7/4

• 7/4

• 4/7

• -4/7

What is the numerator of the second expression after substitution?

• -4

• 6

• 4

• -6

What is the denominator of the second expression after substitution?

• -4

• 4

• 7

• -7

What operation is performed after substituting values in the second expression?

• Subtraction

• Multiplication

• Addition

• Division