Solving a rational equation by multiplying by the LCD

Solving a rational equation by multiplying by the LCD

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to handle rational expressions, focusing on adding, subtracting, and solving them. It emphasizes the importance of finding a common denominator (LCD) to combine expressions and solve equations. The tutorial demonstrates using the distributive property to simplify expressions and provides a step-by-step guide to isolating and solving for x in an equation.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when adding or subtracting rational expressions?

To achieve a common denominator

To eliminate the denominators

To multiply the expressions

To find a common numerator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in both simplifying and solving rational expressions?

Finding the greatest common factor

Adding the numerators

Cross-multiplying the expressions

Determining the least common denominator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify an equation after determining the LCD?

By adding the numerators

By subtracting the denominators

By dividing the denominators

By multiplying each expression by the LCD

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied to solve the equation after multiplying by the LCD?

Distributive property

Associative property

Identity property

Commutative property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of x in the solved equation?

x = 1

x = 4/9

x = 9/4

x = 0

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