Solving Two-Step Linear Equations Using Properties of Equality

This video tutorial teaches how to solve two-step linear equations using properties of equality. It begins with an introduction to equations and their balance, followed by a demonstration of solving simple equations. The tutorial then covers solving equations with variables on both sides, emphasizing the importance of combining like terms and using the symmetric property of equality. Finally, a complex example problem is solved, illustrating the process of combining terms and isolating variables to find the solution.

What is the main idea behind the properties of equality?

• They help in finding the variable's value directly.

• They are used to check if an equation is balanced.

• They allow you to change the equation's solution.

• They ensure both sides of an equation remain equal when the same operation is applied.

In the equation x + 2 = 5, what is the first step to find the value of x?

• Subtract 2 from both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

• Add 2 to both sides.

How can you verify if a solution to an equation is correct?

• By solving the equation again with a different method.

• By checking if the solution satisfies the original equation.

• By comparing it with a similar equation.

• By using a calculator to check the solution.

When solving 2x - 1 = 4x, what should be done first?

• Divide both sides by 4.

• Multiply both sides by 2.

• Subtract 2x from both sides.

• Add 1 to both sides.

In the equation 5x + 12 - 2x = -3x, what is the result after combining like terms?

• 5x + 12 = 0

• 7x + 12 = -3x

• 3x + 12 = -3x

• 3x + 12 = 0