Bell Quiz. Objectives Simplify rational expressions. Find undefined or excluded values for rational expressions.

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Presentation transcript:

Bell Quiz

Objectives Simplify rational expressions. Find undefined or excluded values for rational expressions.

Rational Expressions Rational expressions are fractions with a variable in the denominator. Since division by 0 in mathematics is undefined, the denominator of a rational expression must not be equal 0.

Example 1 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. x + 8 4x4x

Lesson Practice Determine the values for which the rational expression is undefined. 16x – 7 5x5x

Example 2 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. 2x + 1 x – 4

Lesson Practice Determine the values for which the rational expression is undefined x x + 8

Example 3 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. (x + 5)(x – 3) 3x + 21

Lesson Practice Determine the values for which the rational expression is undefined. 11 – x 6x – 42

Example 4 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 54x x

Example 5 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 2x 2 – 10x 4x 2 + 6x

Lesson Practice Simplify the rational expression. Determine undefined values. 3x 2 – 3x 9x x

Example 6 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 2x 2 – 14x 4x – 28

Lesson Practice Simplify the rational expression. Determine undefined values. 4x x x

Example 7 Application: Moving Objects The expression 3.5t + 0.7t 2 represents the distance a moving object travels through time t. The expression 1.4t 2 represents that distance the same object moves from rest with twice the acceleration.

Lesson Practice

Practice Problem 1

Practice Problem 2

Practice Problem 3

Practice Problem 4

Practice Problem 5

Practice Problem 6

Practice Problem 7

Practice Problem 8

Practice Problem 9

Practice Problem 10

Practice Problem 11

Practice Problem 12

Practice Problem 13

Practice Problem 14

Practice Problem 15