Solving Multi-Step Equations Using the Distributive Property

The video tutorial explains how to solve multi-step equations using the distributive property. It begins with a review of inverse operations and the goal of isolating the variable. The distributive property is reviewed with examples, followed by two methods for solving equations: distributing first and dividing first. The tutorial concludes with an example problem, demonstrating the application of these methods.

What is the primary goal when solving equations?

• To find the value of the variable

• To make both sides of the equation different

• To simplify the equation without solving

• To eliminate all variables

What does the distributive property allow you to do?

• Add numbers to both sides of an equation

• Subtract terms from both sides of an equation

• Multiply a single term across terms inside parentheses

• Divide terms within parentheses

In the example 6(x + 4), what is the result of distributing the 6?

• 6 + 4x

• 6x + 24

• 6x - 4

• 6x + 4

What is the first step in solving the equation 4(x - 8) = 12 using the distributive property?

• Add 8 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Distribute the 4 to both terms inside the parentheses

Which method is generally preferred for solving equations with the distributive property?

• Always divide first

• Use the method that involves addition

• Always distribute first

• Use the method that requires fewer steps

In the equation -2(x + 9) = 15, what is the result after distributing the -2?

• 2x + 18

• 2x - 18

• -2x - 18

• -2x + 18

What is the solution for x in the equation -2(x + 9) = 15?

• x = -33/2

• x = 33/2

• x = -16.5

• x = 16.5