Solving Multi-Step Equations

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. Mr. J emphasizes the importance of using inverse operations and checking solutions by substituting values back into the original equations. The video concludes with a summary of the steps involved in solving multi-step equations.

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

• Add constants

• Isolate the variable

• Combine like terms

• Use the distributive property

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

• x + 5x - 4 = 12x + 4

• x + 5x + 4 = 12x + 4

• x + 15x - 20 = 12x + 4

• x + 15x + 20 = 12x + 4

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

• 16x - 20 = 12x + 4

• 15x - 20 = 12x + 4

• 16x + 20 = 12x + 4

• 15x + 20 = 12x + 4

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

• Add 20 to both sides

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 20 from both sides

What is the solution for x in the equation 4x = 24?

• x = 4

• x = 6

• x = 8

• x = 10

In the second example, what is the result of distributing -9 to (M - 2)?

• 9M + 18

• -9M - 18

• 9M - 18

• -9M + 18

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

• -2M + 18 = -10

• 2M + 18 = -10

• -2M - 18 = -10

• 2M - 18 = -10

What is the next step after getting -2M + 18 = -10 in the equation?

• Multiply both sides by -2

• Subtract 18 from both sides

• Divide both sides by -2

• Add 18 to both sides

What is the solution for M in the equation -2M = -28?

• M = 16

• M = 12

• M = 14

• M = 18

What is the final step to verify the solution of a multi-step equation?

• Check the solution by substituting back into the original equation

• Recalculate the entire equation

• Guess and check

• Use a calculator