Solving Multi-Step Equations

The video tutorial covers solving two-step and multi-step equations. It begins with an introduction to two-step equations, explaining the goal of isolating the variable. The instructor provides detailed steps for solving these equations, emphasizing the importance of performing operations on both sides. Several examples are demonstrated to reinforce the concepts. The tutorial then introduces multi-step equations, outlining the additional steps required, such as distributing and combining like terms. The video concludes with a summary of the key points discussed.

What is the primary goal when solving any equation?

• To find the value of the variable

• To eliminate all numbers

• To make both sides of the equation equal zero

• To simplify the equation as much as possible

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

• Undo division

• Undo multiplication

• Combine like terms

• Undo addition or subtraction

In the equation 3n - 4 = 11, what operation should be performed first?

• Divide both sides by 3

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 3

When solving y/5 + 2 = 8, what is the first step?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 2 from both sides

• Add 2 to both sides

What is the second step in solving a two-step equation after undoing addition or subtraction?

• Undo multiplication or division

• Combine like terms

• Apply the distributive property

• Add variables to one side

In the equation 4 = 5 + 3C, what should be done first?

• Divide both sides by 3

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 3

What is the first step in solving multi-step equations?

• Undo addition or subtraction

• Move variables to one side

• Apply the distributive property

• Combine like terms

In multi-step equations, what should be done after applying the distributive property?

• Move variables to one side

• Undo multiplication or division

• Add constants to one side

• Combine like terms

What is the final step in solving multi-step equations?

• Apply the distributive property

• Undo multiplication or division

• Combine like terms

• Move variables to one side

In the equation -36 = 8x - 2x - 6, what should be done first?

• Multiply both sides by 8

• Subtract 6 from both sides

• Add 6 to both sides

• Combine like terms