Solving Two-Step Equations with Fractions

This video tutorial demonstrates how to solve a two-step equation with fractions by first clearing the fractions. The process involves identifying the least common denominator (LCD) and using prime factorization to build it. The tutorial explains how to multiply each fraction by the LCD to eliminate fractions, then solve for the variable by isolating it. The video also covers converting an improper fraction to a mixed number and discusses the optional step of building the LCD. The tutorial concludes with a solution that satisfies the given equation.

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

• Clear the fractions

• Isolate the variable

• Add fractions

• Divide by the variable

Why is finding the least common denominator important?

• It isolates the variable

• It helps in adding fractions

• It simplifies the equation

• It clears the fractions

How do you determine the least common denominator?

• By adding the denominators

• By subtracting the denominators

• By multiplying the denominators

• By finding the least common multiple

What is the purpose of multiplying each fraction by the common denominator?

• To clear the fractions

• To divide the fractions

• To subtract the fractions

• To add the fractions

What happens to the equation after clearing the fractions?

• It becomes a three-step equation

• It remains unchanged

• It becomes a one-step equation

• It becomes more complex

What is the optional step mentioned in solving the equation?

• Subtracting fractions

• Adding fractions

• Multiplying by the LCD

• Finding the LCD

What is the final step in solving the equation after clearing fractions?

• Divide by the coefficient of the variable

• Subtract the variable

• Add the fractions

• Multiply by the variable

How is the improper fraction converted to a mixed number?

• By adding the numerator and denominator

• By dividing the numerator by the denominator

• By subtracting the numerator from the denominator

• By multiplying the numerator and denominator

What is the mixed number form of the solution?

• Negative six and one-sixth

• Negative five and two-thirds

• Negative seven and one-fifth

• Negative four and three-fourths

Why is it unnecessary to check the solution in this video?

• The solution is too complex to check

• The solution is always correct

• The solution was checked in a previous video

• The solution is self-evident