Solving Multi-Step Equations in Algebra

This video tutorial introduces multi-step equations, reviews one and two-step equations, and provides a step-by-step guide to solving multi-step equations. It includes examples to illustrate the process and concludes with a review of key concepts.

What is the first step in solving the equation X + 2 = 9?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

In the equation 3x = 15, what operation should be performed to isolate x?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the first step in solving a multi-step equation?

• Apply the distributive property

• Move constants to one side

• Move variable terms to one side

• Combine like terms

When combining like terms, which of the following pairs are like terms?

• 3 and 3y

• 3y and y

• 3 and y

• 3y and 3

In the equation 3(y + 2) + y = -14, what is the result after applying the distributive property?

• 3y + 2 + y = -14

• 3y + 6 + y = -14

• 3y + 2y = -14

• 3y + 6y = -14

After combining like terms in the equation 3y + y, what is the simplified form?

• 4y

• 3y

• 2y

• 5y

In the equation 2x - 10 = 12 + 4x - x, what is the result after combining like terms on the right-hand side?

• 2x - 10 = 12 + x

• 2x - 10 = 12 + 3x

• 2x - 10 = 12 + 2x

• 2x - 10 = 12 + 4x

What is the next step after moving all variable terms to one side of the equation?

• Move constants to the other side

• Solve the basic equation

• Apply the distributive property

• Combine like terms

What is the solution to the equation 4y = -20?

• y = -5

• y = 5

• y = -4

• y = 4

Which of the following is NOT a key concept needed to solve multi-step equations?

• Understanding the distributive property

• Mastery of one-step equations

• Knowing how to graph equations

• Combining like terms