Solving Rational Equations
Solving equations involving rational expressions and checking for extraneous solutions.
Key Questions
- Explain why it is crucial to check for extraneous solutions when solving rational equations.
- Analyze the algebraic steps involved in transforming a rational equation into a polynomial equation.
- Predict the number of solutions a rational equation might have based on its structure.
Ontario Curriculum Expectations
Suggested Methodologies
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More in Rational and Equivalent Expressions
Polynomial Factoring Review
Reviewing and mastering various polynomial factoring techniques (GCF, trinomials, difference of squares, grouping) essential for rational expressions.
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Introduction to Rational Expressions
Defining rational expressions, identifying restrictions on variables, and simplifying basic expressions.
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Multiplying and Dividing Rational Expressions
Performing multiplication and division on rational expressions, including complex fractions.
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Adding and Subtracting Rational Expressions
Finding common denominators and performing addition and subtraction of rational expressions.
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Applications of Rational Equations
Applying rational equations to solve real-world problems such as work-rate, distance-rate-time, and mixture problems.
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