Solving Two-Step Equations with Fractions

This video tutorial demonstrates how to solve two-step equations with fractions using two methods. The first method involves clearing fractions by multiplying by the least common denominator, while the second method keeps fractions in the equation. The tutorial provides a step-by-step example, verifies the solution, and compares the two methods, highlighting the advantages of each approach.

What are the two methods discussed for solving two-step equations with fractions?

• Using substitution and elimination

• Keeping fractions and clearing fractions

• Graphing and factoring

• Using matrices and determinants

What is the first step in the method of clearing fractions from an equation?

• Add fractions

• Find the least common denominator

• Subtract fractions

• Divide by the largest fraction

In the example, what is the least common denominator used to clear fractions?

• 20

• 25

• 10

• 15

What is the result of multiplying each term by the least common denominator in the example?

• 60x + 12 = 15

• 3x + 5 = 4

• x + 3 = 5

• 2x + 4 = 6

What is the alternative approach to solving the equation discussed in the video?

• Using substitution

• Directly multiplying each term by the least common denominator

• Using a calculator

• Graphing the equation

What is the final solution for x in the example problem?

• x = 1/20

• x = 1/25

• x = 1/15

• x = 1/10

How is the solution verified in the video?

• By checking with a different method

• By graphing the equation

• By substituting back into the original equation

• By using a calculator

What is the benefit of leaving fractions in the equation according to the video?

• It is easier and shorter

• It is more visual

• It is more accurate

• It requires less calculation

What is the common factor used to simplify 3/60 in the solution?

• 5

• 4

• 3

• 2

What does the video suggest about choosing between the two methods?

• Always use the keeping fractions method

• Always use the clearing fractions method

• Choose based on personal preference

• Use a calculator to decide