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NAME DATE PERIOD 129 Solving Rational Equations (Pages 690695) A rational equation is an equation that contains rational expressions. To solve a rational equation, multiply each side of the equation

How to fill out 12-9 solving rational equations

Who needs 12-9 solving rational equations?

1. Students studying algebra or advanced math: The topic of solving rational equations is typically covered in algebra and advanced math courses. Students who are currently studying these subjects will need to learn how to solve rational equations, including the steps involved in filling out and solving the equation.
2. Individuals preparing for standardized tests: Standardized tests such as the SAT, ACT, or GRE often include questions related to solving rational equations. Therefore, individuals who are preparing for these exams will need to understand how to fill out and solve such equations in order to perform well on the math sections.
3. Anyone dealing with real-life scenarios involving rational equations: Rational equations can have real-life applications, such as in finance, physics, or engineering. Individuals working in these fields may encounter situations that require solving rational equations, such as calculating interest rates, determining fluid flow rates, or analyzing circuit problems.

How to fill out 12-9 solving rational equations?

1. Identify the given rational equation: The first step is to determine the rational equation provided. This equation will typically involve variables and rational expressions (fractions) on one or both sides.
2. Simplify the rational expressions: Next, simplify the rational expressions on each side of the equation by canceling out common factors, or multiplying through by the least common denominator (LCD) to eliminate fractions.
3. Create a common denominator: If there are multiple rational expressions on both sides of the equation, find the least common denominator (LCD) and multiply each term by the necessary factors to create a common denominator.
4. Combine like terms: After creating a common denominator, combine like terms on each side of the equation. Simplify as much as possible.
5. Solve for the variable: Use appropriate algebraic techniques to isolate the variable on one side of the equation. This may involve dividing both sides by coefficients, subtracting or adding terms, or applying other operations to maintain equality.
6. Check for extraneous solutions: After solving for the variable, substitute the obtained value back into the original equation to ensure it satisfies the equation. If it doesn't, there may be extraneous solutions that need to be discarded.
7. State the solution: Once you have determined the valid values of the variable, you can write the solution to the rational equation. This could be a single value, a set of values, or an interval depending on the nature of the equation.

Remember to practice solving various types of rational equations to build familiarity and confidence in the process.

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What is 12-9 solving rational equations?

Solving rational equations involves finding the values of the variables that make the equation true by simplifying the fractions present in the equation.

Who is required to file 12-9 solving rational equations?

Anyone working with rational equations in mathematics or any related field may need to solve and file a rational equation like 12-9.

How to fill out 12-9 solving rational equations?

To fill out 12-9 solving rational equations, one must first simplify the fractions, then isolate the variable, and finally solve for the variable.

What is the purpose of 12-9 solving rational equations?

The purpose of solving rational equations like 12-9 is to find the values of the variables that satisfy the equation and make it true.

What information must be reported on 12-9 solving rational equations?

The values of the variables that satisfy the rational equation and make it true must be reported on 12-9 solving rational equations.

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