2.5: Rational Expressions and Equations College Algebra – Week 2
∗ Rational Expression – � ∗ Ratio of two expressions (polynomials) → � ; � ≠ 0 ∗ Complex Rational Expression – ∗ A fraction within a fraction ∗ Rational Equation – ∗ An equation that contains at least one rational expression.
Ex. 1: Simplify and indicate the values that must be excluded. � � �� � � ��� a)
Ex. 1: Simplify and indicate the values that must be excluded. � � �� �� � �� b)
Ex. 2: Add or subtract the rational expression as indicated. �� �� �� � � �� �� − � � �� a)
Ex. 2: Add or subtract the rational expressions as indicated. � � �� �� � � ����� ��� ��� + � � �� �� − � � �� b)
Ex. 3: Multiply or divide the rational expressions as indicated. � � ��� ��� � �� ∙ � � �� �� a) ���
Ex. 3: Multiply or divide the rational expressions as indicated. � � ��� ��� � � ����� ÷ b) �� � ��
Ex. 4: Simplify the complex rational expressions. � ��� � � � a) �
Ex. 4: Simplify the complex rational expressions. b) � �� �� �� � �� �� ��
Ex. 5: Solve the following rational equations. a) � � ��� � � � ��� ��� = ���� � ��
Ex. 5: Solve the following rational equations. b) �� � �� �� − � = �
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