Solving Two-Step Equations with Fractions

This video tutorial demonstrates how to solve a two-step equation with fractions by first clearing the fractions using the least common denominator (LCD). The process involves building the LCD through prime factorization and then solving the equation by isolating the variable. An alternative method is also shown, which involves multiplying each fraction by the LCD directly. The tutorial concludes with solving for the variable and verifying the solution.

What is the first step in solving a two-step equation with fractions?

• Divide by the largest fraction

• Multiply all terms by zero

• Clear the fractions from the equation

• Add all fractions together

Why is finding the least common denominator important in solving equations with fractions?

• It helps in adding fractions

• It is not important

• It simplifies the equation by clearing fractions

• It makes the equation longer

What is the least common denominator of 3, 5, and 6?

• 15

• 10

• 60

• 30

How do you build the least common denominator using prime factors?

• By ensuring all denominators contain the same prime factors

• By adding all the denominators

• By dividing the largest denominator by the smallest

• By multiplying the numerators

What happens to the denominators after multiplying each fraction by the LCD?

• They become zero

• They remain unchanged

• They become one

• They double in value

What is an alternative method to solve equations with fractions?

• Ignoring the fractions

• Subtracting the LCD from each term

• Directly multiplying each fraction by the LCD

• Adding the LCD to each term

What is the result of simplifying the equation using the alternative method?

• The equation becomes more complex

• The equation is simplified to have no fractions

• The equation remains the same

• The equation is unsolvable

What is the next step after clearing fractions in a two-step equation?

• Subtract or add to isolate the variable term

• Multiply by zero

• Add 10 to both sides

• Divide by the smallest number

What is the solution to the equation after solving for x?

• x = 2/3

• x = 1/2

• x = 3/4

• x = 5/8

Why is it important to verify the solution of an equation?

• To add more fractions

• To make the equation longer

• To ensure the solution is correct

• To change the solution