Solving Linear Equations with Fractions and Parentheses

The video tutorial explains how to solve equations involving fractions by eliminating them. It begins with distributing fractions to remove parentheses, followed by using the lowest common denominator (LCD) to eliminate denominators. The tutorial then simplifies the equation and solves for the variable x. The process is broken down into clear steps, making it easier to understand and apply.

What is the first step in solving an equation with fractions?

• Isolate the variable

• Find the lowest common denominator

• Eliminate the parentheses by distributing

• Combine like terms

When distributing 1/3 to the terms 2x and 1, what do you get?

• 2x/3 + 1

• 2/3x + 1/3

• 2x/3 + 1/3

• 2x + 1

What is the result of 1/4 times 3x?

• 4x/3

• 1/4x

• 3/4x

• 3x/4

What is the lowest common denominator (LCD) used in the example?

• 3

• 4

• 6

• 12

Why is it helpful to multiply each term by the LCD?

• It combines like terms

• It simplifies the equation

• It isolates the variable

• It eliminates the fractions

What is the simplified form of 12 times 2x/3?

• 8x

• 6x

• 4x

• 2x

After cross-reducing, what is the result of 12 times 1/3?

• 6

• 4

• 3

• 12

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

• 6

• 8

• 2

• 4

What should you do after eliminating the parentheses in an equation?

• Isolate the variable

• Simplify the fractions

• Find the lowest common denominator

• Combine like terms

What is the purpose of reviewing the steps at the end?

• To solve a different problem

• To ensure understanding of the process

• To check for errors

• To introduce new concepts