Distributive Property and Combining Like Terms

The video tutorial covers the distributive property, starting with a review and moving into examples demonstrating its application. It explains how to solve equations using the distributive property and combines like terms. The tutorial includes complex examples, such as those involving fractions, and addresses common mistakes. It concludes with word problems that apply the distributive property, emphasizing the importance of understanding and applying mathematical rules consistently.

What is the main purpose of the distributive property in solving equations?

• To multiply a single term across terms inside parentheses

• To subtract numbers

• To divide numbers

• To add numbers

How is the distributive property similar to passing out cupcakes at a party?

• You distribute cupcakes to everyone

• You eat all the cupcakes yourself

• You throw away the cupcakes

• You give cupcakes to only one person

In the expression -2(4x - 7), what is the result of distributing -2?

• -8x + 14

• 8x - 14

• -8x - 14

• 8x + 14

What is the first step in solving the equation 5(2x - 3) = -35 using the distributive property?

• Add 3 to both sides

• Multiply 5 by each term inside the parentheses

• Divide by 5

• Subtract 5 from both sides

After distributing in the equation 5(2x - 3) = -35, what is the next step?

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply by 10

• Divide by 10

What does combining like terms involve?

• Adding terms with different variables

• Multiplying all terms

• Subtracting constants

• Adding terms with the same variable

In the equation 8x - 20 + 3x = 2, what is the result of combining like terms?

• 11x + 20 = 2

• 11x - 20 = 2

• 5x - 20 = 2

• 8x + 3x = 2

What should you do first when solving an equation with fractions using the distributive property?

• Treat fractions like regular numbers

• Convert fractions to decimals

• Ignore the fractions

• Multiply all terms by the denominator

In the equation 1/2(12x - 14), what is the result of distributing 1/2?

• 12x - 14

• 12x + 14

• 6x - 7

• 6x + 7

How do you solve a word problem using the distributive property?

• By ignoring the problem

• By using the same method as before without the distributive property

• By guessing the answer

• By setting up an equation and distributing terms