Solving Two-Step Equations and Fractions

This video tutorial demonstrates how to solve two-step equations involving fractions using two methods. The first method involves solving the equation while keeping the fractions, and the second method involves clearing the fractions by multiplying both sides by the least common denominator. The tutorial walks through the process of isolating the variable, finding a common denominator, and verifying the solution. The video concludes by confirming that both methods yield the same result and previews the next tutorial, which will focus on clearing fractions before solving.

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

• Using a graph and using a calculator

• Solving with fractions and using a calculator

• Clearing fractions and using a graph

• Solving with fractions and clearing fractions

What is the first step in solving a two-step equation to isolate the variable term?

• Multiply or divide

• Use a calculator

• Add or subtract

• Find the least common denominator

What is the opposite operation of addition used in the example?

• Multiplication

• Division

• Subtraction

• Addition

What is the least common denominator of 3/4 and 3/5?

• 20

• 15

• 25

• 10

What operation is performed after finding the least common denominator?

• Addition

• Division

• Subtraction

• Multiplication

Why do we multiply by the reciprocal instead of dividing when solving the equation?

• It is easier to calculate

• It simplifies the equation

• It avoids fractions

• It is a faster method

What is the solution to the equation after solving and verifying?

• x = 1/25

• x = 1/20

• x = 1/15

• x = 1/10

What is the purpose of checking the solution in the original equation?

• To change the equation

• To find a new solution

• To verify the solution is correct

• To simplify the equation further

What is the result of 3/20 plus 12/20?

• 25/20

• 10/20

• 15/20

• 20/20

What will be covered in the next video according to the conclusion?

• Solving equations with decimals

• Clearing fractions before solving

• Graphing equations

• Using a calculator for equations