Solving Equations by Combining Like Terms

This video tutorial teaches how to solve linear equations by combining like terms. It begins with an introduction to equations and the properties of equality, followed by an explanation of like terms and how to combine them. The tutorial then demonstrates solving equations using these concepts, providing examples and highlighting common mistakes, such as combining unlike terms. The video emphasizes the importance of checking solutions to ensure accuracy.

What is the main idea behind the properties of equality in solving equations?

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

• They let you perform the same operation on both sides of the equation.

• They are used to check the solution of an equation.

• They help in identifying like terms.

Which of the following is a like term to 3x?

• 5

• 3y

• 4x

• 7

What is the result of combining the like terms in the expression 2x + 4x?

• 8x

• 4x

• 6x

• 2x

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

• By dividing the solution by the equation.

• By adding the solution to both sides of the equation.

• By checking if the equation is balanced after substitution.

• By multiplying the solution by the equation.

What is the solution to the equation 2x + 3x = 45?

• x = 15

• x = 9

• x = 5

• x = 45

What happens if you mistakenly combine unlike terms in an equation?

• The equation becomes more complex.

• The solution becomes incorrect.

• The solution remains unchanged.

• The equation becomes easier to solve.

What is the correct solution for the equation -7x - 5 + 2 = 24?

• x = 3

• x = -27/7

• x = -12/5

• x = 9