Combining Like Terms in Linear Equations

The video tutorial explains how to solve a multi-step equation by first combining like terms on both sides of the equation. It then demonstrates how to collect variable terms using inverse operations and isolate the variable to find the solution. The solution is verified by substituting the value back into the original equation. The tutorial concludes with a summary of the steps and a closing remark.

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

• Isolate the variable

• Substitute values

• Combine like terms

• Draw a graph

After combining like terms, what is the simplified form of the left side of the equation?

• 5x + 2

• x + 5

• 2x + 3

• 3x + 3

What does 8x - 5x simplify to?

• 15x

• 13x

• 3x

• x

What is the result of 17 - 2 in the equation?

• 19

• 15

• 14

• 12

What operation is used to collect variable terms from both sides of an equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of subtracting 2x from both sides of the equation?

• x + 3 = 15

• 3x = 12

• x = 12

• 2x + 3 = 15

What is the inverse operation used to isolate the variable term?

• Division

• Subtraction

• Addition

• Multiplication

What is the final value of x after solving the equation?

• 10

• 12

• 15

• 3

How do you verify the solution of the equation?

• Ask a friend

• Solve the equation again

• Look up the answer

• Substitute x back into the equation

What should the equation equal on both sides after substituting x = 12?

• 24

• 15

• 39

• 12