Solving Equations and Distributive Property

This video tutorial teaches 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 tutorial then explains the distributive property with examples, followed by two methods for solving equations using this property. The video concludes with example problems to reinforce the concepts.

What is the primary goal when solving equations?

• To make both sides of the equation different

• To find the value of the variable

• To eliminate all variables

• To make the equation more complex

Which operation is NOT an inverse operation?

• Subtraction

• Addition

• Division

• Multiplication

What does the distributive property allow you to do?

• Divide terms within parentheses

• Subtract terms from both sides of an equation

• Multiply a single term across terms inside parentheses

• Add numbers to both sides of an equation

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

• 6x + 4

• 6x + 24

• 6 + 4x

• 6x - 24

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

• Divide both sides by 4

• Distribute the 4 to both terms inside the parentheses

• Add 8 to both sides

• Subtract 8 from both sides

After distributing in the equation 4(x - 8) = 12, what is the next step?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 32 from both sides

• Add 32 to both sides

What is the solution to the equation 4(x - 8) = 12 after solving it completely?

• x = 8

• x = 10

• x = 12

• x = 11

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

• -2x - 18

• 2x - 18

• 2x + 18

• -2x + 18

What is the final solution to the equation -2(x + 9) = 15?

• x = -16.5

• x = 15

• x = -15

• x = 16.5

Why might the first method of solving equations be preferred over the second?

• It is always faster

• It works better when numbers do not divide evenly

• It requires fewer steps

• It is more intuitive