Converting Rational Functions

Converting Rational Functions

11th Grade

13 Qs

quiz-placeholder

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Converting Rational Functions

Converting Rational Functions

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSA.APR.D.6, HSF-IF.C.7D, 8.F.A.1

+2

Standards-aligned

Created by

Anthony Clark

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Select the correct domain of the graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step in partial fraction decomposition?

Find the common denominator of the fractions

Add the numerators of the partial fractions

Identify the denominator and factor it into its irreducible factors.

Multiply the numerator and denominator by a common factor

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the purpose of partial fraction decomposition?

To make rational functions more difficult to solve

The purpose of partial fraction decomposition is to simplify and solve rational functions by breaking them down into simpler fractions.

To complicate and confuse rational functions

To add unnecessary steps to solving rational functions

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the process of decomposing a rational function into partial fractions?

Adding the rational function to a whole number

Converting the rational function into an improper fraction

Breaking down the rational function into simpler fractions

Multiplying the rational function by a common denominator

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the steps involved in solving partial fraction decomposition problems?

Add the constants for each factor and then factor the denominator

Divide the numerator by the denominator

Multiply the denominator by a random number

Identify the denominator, factor it into linear and irreducible quadratic factors, and then use the method of undetermined coefficients to find the constants for each factor.

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you determine the unknown coefficients in partial fraction decomposition?

By asking a friend for the coefficients

By using a magic 8-ball

By equating the given rational function to the sum of its partial fractions and solving for the unknown coefficients.

By flipping a coin and guessing

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the different methods used in partial fraction decomposition?

Multiplying factors

Adding factors

Dividing factors

The different methods used in partial fraction decomposition are: linear factors, repeated linear factors, and irreducible quadratic factors.

Tags

CCSS.HSA.APR.D.6

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