8.6A Solve Rational Equations Worksheet

8.6A Solve Rational Equations Worksheet

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

CCSS
HSA.REI.A.2, 7.EE.B.4A, 8.EE.C.7A

+2

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2

2.

FLASHCARD QUESTION

Front

How do you identify an extraneous solution in rational equations?

Back

To identify an extraneous solution, substitute the solution back into the original equation. If it does not satisfy the equation, it is extraneous.

Tags

CCSS.HSA.REI.A.2

3.

FLASHCARD QUESTION

Front

What is the first step in solving a rational equation?

Back

The first step is to find a common denominator for all the fractions involved in the equation.

Tags

CCSS.HSA.REI.A.2

4.

FLASHCARD QUESTION

Front

What does it mean to clear the fractions in a rational equation?

Back

Clearing the fractions means multiplying both sides of the equation by the least common denominator (LCD) to eliminate the fractions.

Tags

CCSS.HSA.REI.A.2

5.

FLASHCARD QUESTION

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

6.

FLASHCARD QUESTION

Front

What is the importance of checking solutions in rational equations?

Back

Checking solutions is important to ensure that the solutions are valid and not extraneous, which can occur due to the manipulation of the equation.

Tags

CCSS.HSA.REI.A.2

7.

FLASHCARD QUESTION

Front

What is a rational equation?

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

Tags

CCSS.HSA.REI.A.2

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