Solving Multi-Step Equations with Distributive Property and Like Terms

In this video, Mr. J explains how to solve a multistep equation involving the distributive property and combining like terms. The process includes using the distributive property to eliminate parentheses, combining like terms, isolating the variable, and checking the solution by substitution. The example equation is solved step-by-step, demonstrating each part of the process clearly. The video concludes with a summary of the steps and a verification of the solution.

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

• Combine like terms

• Check the solution

• Isolate the variable

• Apply the distributive property

When using the distributive property, what should you keep in mind?

• The sign in front of the number

• The order of operations

• The value of the variable

• The coefficients of the terms

What is the result of distributing -9 to M in the equation -9(M - 2) + 7M = -10?

• -9M

• 9M

• -18M

• 18M

After applying the distributive property, what is the next step?

• Isolate the variable

• Combine like terms

• Check the solution

• Add constants

What do you get when you combine -9M and 7M?

• 16M

• -16M

• -2M

• 2M

What is the inverse operation of addition?

• Multiplication

• Exponentiation

• Division

• Subtraction

What operation should be used to isolate the variable M in the equation -2M = -28?

• Addition

• Division

• Subtraction

• Multiplication

What is the value of M in the equation -2M = -28?

• 14

• -14

• 28

• -28

What is the purpose of checking the solution by substituting the variable back into the original equation?

• To find a new solution

• To verify the correctness of the solution

• To simplify the equation further

• To change the variable

What is the final result when you substitute M = 14 back into the original equation?

• 0

• 10

• -10

• 14