Distributing and Solving Equations

This video tutorial explains how to solve equations involving fractions by emphasizing the importance of distributing first and clearing fractions second. The narrator provides two detailed examples, demonstrating the process of distributing terms and finding the least common denominator (LCD) to clear fractions. The video highlights the importance of following the correct order of operations to achieve the correct solution.

What is the first step when solving equations with fractions that require distributing?

• Find the least common denominator first

• Distribute first

• Solve for x first

• Clear fractions first

Why is it important to distribute first before clearing fractions?

• To make the equation more complex

• To ensure the correct final solution

• To avoid using the least common denominator

• To simplify the equation

In the first example, what is the result of distributing 3/4 through the parentheses?

• 1/2 = 3/4x - 1/3

• 1/2 = 3/2x - 1/3

• 1/2 = 3/4x - 1/2

• 1/2 = 3/2x - 1/4

What is the least common denominator used in the first example?

• 3

• 4

• 2

• 6

In the first example, what operation is performed after distributing and before solving the equation?

• Clearing fractions

• Adding fractions

• Multiplying fractions

• Subtracting fractions

After clearing fractions in the first example, what is the resulting equation?

• 3 = 9x - 2

• 3 = 6x - 2

• 3 = 9x - 3

• 3 = 6x - 3

What is the value of x in the first example after solving the equation?

• 6/9

• 5/9

• 9/5

• 5/6

In the second example, what is the result of distributing 2/3 through the parentheses?

• 2/3x + 10/3

• 2/3x + 4/3

• 2/3x + 8/3

• 2/3x + 6/3

What is the least common denominator used in the second example?

• 12

• 9

• 6

• 3

In the second example, what is the result of distributing 5 through the parentheses?

• 20/6x - 5/3

• 25/6x - 5/3

• 20/6x - 7/3

• 25/6x - 7/3