Evaluating Rational Expressions

The video tutorial explains how to evaluate rational expressions by substituting a given value for the variable. It provides two examples: one with x=4 and another with x=3, demonstrating the step-by-step process of substitution and simplification to find the result.

What is the first step in evaluating a rational expression?

• Dividing the expression by the variable

• Simplifying the expression

• Substituting a given value for the variable

• Multiplying all terms by the variable

When substituting a value into a rational expression, what should you do with the variable?

• Ignore it

• Divide it by the given value

• Replace it with the given value

• Multiply it by the given value

In the expression 4 + 3 over 2 * 4 - 5, what is the result of 4 + 3?

• 8

• 7

• 6

• 5

What is the result of 2 * 4 - 5 in the expression 4 + 3 over 2 * 4 - 5?

• 3

• 4

• 1

• 2

What is the final result of the expression 4 + 3 over 2 * 4 - 5 when x is 4?

• 6/3

• 8/3

• 7/3

• 5/3

What is the first step in evaluating the expression x - 2 over x² + 2x - 8 for x = 3?

• Multiply x by 2

• Subtract 2 from x

• Divide x by 2

• Add 2 to x

What is the result of 3 - 2 in the expression x - 2 over x² + 2x - 8 when x is 3?

• 0

• 1

• 2

• 3

What is the value of 3 squared in the expression x - 2 over x² + 2x - 8 when x is 3?

• 8

• 9

• 7

• 6

What is the result of 2 * 3 in the expression x - 2 over x² + 2x - 8 when x is 3?

• 5

• 6

• 8

• 7

What is the final result of the expression x - 2 over x² + 2x - 8 when x is 3?

• 4/7

• 2/7

• 1/7

• 3/7