Solving Equations Using the Distributive Property

This video tutorial teaches how to solve equations using the distributive property. It begins with a review of the property, highlighting common mistakes students make, such as not distributing to all terms. The tutorial provides two detailed examples of solving equations, demonstrating each step clearly. The lesson concludes with a summary of the key points covered.

What does the distributive property allow you to do with expressions like 2(x + 4)?

• Subtract the numbers inside the parentheses

• Divide each term inside the parentheses by the number outside

• Multiply each term inside the parentheses by the number outside

• Add the numbers inside the parentheses first

What is a common error students make when using the distributive property?

• Multiplying only the first term inside the parentheses

• Adding the terms inside the parentheses before multiplying

• Forgetting to multiply the number outside the parentheses by all terms inside

• Dividing the terms inside the parentheses by the number outside

In the equation 3(x + 1) = 15, what is the first step to solve it using the distributive property?

• Divide both sides by 3

• Add 3 to both sides

• Multiply each term inside the parentheses by 3

• Subtract 1 from both sides

After distributing in the equation 3(x + 1) = 15, what should be the next step?

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 3 to both sides

• Rearrange the terms

In the equation 2(x - 4) = 3x + 3, what is the first step to solve it?

• Divide both sides by 2

• Add 4 to both sides

• Distribute the 2 to both terms inside the parentheses

• Subtract 3 from both sides

What is the solution for x in the equation 2(x - 4) = 3x + 3 after solving it completely?

• x = -3

• x = 3

• x = -11

• x = 11

How can you verify the solution of an equation after solving it?

• By dividing the solution by the number inside the parentheses

• By substituting the solution back into the original equation

• By adding the solution to both sides of the equation

• By multiplying the solution by the number outside the parentheses