Solving Multi-Step Equations Effectively

In this video, Mr. J explains how to solve multi-step equations using two examples. The first example involves using the distributive property, combining like terms, and managing variables on both sides of the equation. The second example focuses on solving equations without variables on both sides. Each step is broken down clearly, and solutions are verified by substituting back into the original equations.

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

• Combine like terms

• Use the distributive property

• Isolate the variable

• Check the solution

In the equation x + 5(3x - 4) = 12x + 4, what do you get after distributing 5?

• 3x - 4

• 5x - 20

• 15x - 20

• 15x + 20

After combining like terms in the equation x + 15x - 20 = 12x + 4, what is the resulting equation?

• 16x - 20 = 4

• x + 15x - 20 = 4

• x + 15x = 12x + 4

• 16x - 20 = 12x + 4

What is the next step after getting 4x - 20 = 4 in the equation?

• Use the distributive property

• Add 20 to both sides

• Subtract 4 from both sides

• Combine like terms

What is the value of x in the equation 4x = 24?

• 8

• 12

• 6

• 4

How do you verify the solution x = 6 in the equation x + 5(3x - 4) = 12x + 4?

• By checking the steps

• By using a different method

• By solving the equation again

• By substituting x = 6 into the original equation

In the second example, what is the first step to solve -9(M - 2) + 7M = -10?

• Combine like terms

• Use the distributive property

• Isolate the variable

• Check the solution

What do you get after distributing -9 in the equation -9(M - 2)?

• -9M + 18

• 9M - 18

• -9M - 18

• 9M + 18

After combining like terms in the equation -9M + 7M + 18 = -10, what is the resulting equation?

• -2M + 18 = -10

• -2M = -10

• 2M + 18 = -10

• 2M = -10

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

• 12

• 14

• 16

• 18