Solving One-Step Equations in Algebra

The video tutorial explains how to solve a problem involving balancing masses. It starts by introducing three identical objects with unknown mass, which together equal the mass of nine 1-kilogram objects. The tutorial then demonstrates how to represent this problem symbolically and set up an equation. By solving the equation, the unknown mass is determined to be 3 kilograms. The process involves dividing both sides of the equation by 3 to maintain balance, illustrating the concept of solving for an unknown variable.

What is the total mass of the nine objects on the right side?

• 3 kilograms

• 6 kilograms

• 12 kilograms

• 9 kilograms

What symbol is used to represent the unknown mass of the three identical objects?

• x

• y

• m

• z

How can the total mass of the three objects be expressed algebraically?

• x/3

• x^3

• 3x

• x + x + x

What is the simplified form of the equation representing the total mass of the three objects?

• 3x + 1 = 9

• x + 3 = 9

• 3x = 9

• x = 9

What happens if you subtract 2x from both sides of the equation 3x = 9?

• You get x = 9

• You get x = 1

• You get x = 7

• You get x = 3

Why doesn't subtracting 2x from both sides help in solving the equation?

• It leaves a mystery mass on the right side

• It simplifies the equation

• It balances the equation

• It makes the equation more complex

What mathematical operation is equivalent to taking 1/3 of both sides of the equation?

• Subtracting 3

• Adding 3

• Multiplying by 3

• Dividing by 3

What is the value of x when you solve the equation 3x = 9?

• 1

• 2

• 3

• 4

What is the result of multiplying both sides of the equation 3x = 9 by 1/3?

• x = 1

• x = 4

• x = 2

• x = 3

What is another way to view the operation of multiplying both sides by 1/3?

• Subtracting 3

• Adding 3

• Multiplying by 3

• Dividing by 3