Solving Rational Equations: A Comprehensive Guide

Solving Rational Equations: A Comprehensive Guide

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2
,
CCSS.HSA-REI.B.4B
,
CCSS.8.EE.C.7B
The video tutorial covers solving rational equations using the method of fraction busting, which involves eliminating denominators by multiplying the entire equation by the least common denominator (LCD). It provides multiple examples, demonstrating how to simplify equations, find restrictions, and solve for variables. The tutorial also highlights cases where no solution exists due to restrictions. Key concepts include identifying the LCD, simplifying equations, and understanding restrictions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving rational equations?

Multiply each term by the LCD

Simplify the equation

Find the least common denominator

Set the equation to zero

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'fraction busting' help achieve in solving equations?

It changes the value of the equation

It helps in finding the restrictions

It complicates the equation further

It simplifies the equation by eliminating denominators

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator in the 'you try' problem?

2

3

6

12

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the term 'LCD' stand for?

Lowest Common Denominator

Least Common Divisor

Lowest Common Divisor

Least Common Denominator

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are restrictions important in solving rational equations?

They simplify the equation

They prevent division by zero

They are not important

They determine the value of x

Tags

CCSS.HSA.REI.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the restrictions in a rational equation?

By simplifying the equation

By multiplying each term by the LCD

By setting the numerator equal to zero

By setting the denominator equal to zero

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In example 2, what is the LCD used to solve the equation?

x times x + 2

x

2x

x + 2

Tags

CCSS.HSA.REI.A.2

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