Understanding Two-Step Equations with Fractions

This video tutorial from Moomoomath and Science explains how to solve two-step equations involving fractions. The process involves moving constants to one side and variables to the other, using opposite operations such as subtraction and multiplication. The tutorial demonstrates solving for X in the equation 2/3X + 10 = 200, resulting in X = 285. The solution is verified by substituting back into the original equation. The video emphasizes the importance of performing the same operation on both sides of the equation and provides a clear, step-by-step approach to solving such problems.

What is the main objective when solving a two-step equation involving fractions?

• To find the value of Y

• To find the value of X

• To eliminate all fractions

• To simplify the equation

What is the first step in solving the equation 2/3X + 10 = 200?

• Multiply both sides by 3

• Add 10 to both sides

• Subtract 10 from both sides

• Divide both sides by 2

Why do we perform the opposite operation when solving equations?

• To make the equation more complex

• To eliminate variables

• To simplify the equation

• To keep the equation balanced

How do you eliminate the fraction in the equation 2/3X = 190?

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 3 to both sides

What is the result of multiplying 190 by 3 in the equation 2/3X = 190?

• 570

• 285

• 190

• 380

What operation is used to isolate X in the equation 2X = 570?

• Subtract 2

• Add 2

• Multiply by 2

• Divide by 2

What is the value of X after solving the equation 2X = 570?

• 285

• 190

• 570

• 200

How can you verify the solution of the equation 2/3X + 10 = 200?

• By checking if 2/3 times 190 plus 10 equals 200

• By checking if 2/3 times 200 plus 10 equals 285

• By checking if 2/3 times 285 plus 10 equals 190

• By checking if 2/3 times 285 plus 10 equals 200

What is the purpose of the video tutorial?

• To introduce basic arithmetic operations

• To demonstrate solving two-step equations with fractions

• To explain the concept of fractions

• To teach how to solve one-step equations