Distributing and Combining Like Terms in Algebra

This video tutorial teaches how to distribute and combine like terms in algebraic expressions. It begins with an introduction to the concepts, followed by detailed steps for distribution and combining like terms. The tutorial includes four examples, each demonstrating different scenarios such as handling negative numbers and multiple distributions. The video emphasizes the importance of showing work to understand the process and identify errors.

What is the first step in distributing and combining like terms?

• Subtract constants

• Distribute

• Combine like terms

• Add constants

In the first example, what is the result of distributing 3 times 2?

• 6

• 5

• 9

• 12

After distributing in the first example, what do you do next?

• Combine like terms

• Subtract constants

• Multiply constants

• Add constants

In the second example, what is the result of distributing -2 times 1?

• -1

• 1

• 2

• -2

What is the final simplified form of 7 - 8?

• 2

• 0

• 1

• -1

In the third example, what is the result of distributing 2 times 5?

• 7

• 10

• 12

• 15

What is the combined result of 2x + 12x?

• 12x

• 14x

• 10x

• 16x

In the final example, what is the result of distributing -1 times 2?

• -2

• 1

• -1

• 2

What is the combined result of 8W - 2W?

• 6W

• 10W

• 4W

• 8W

What is the final simplified form of 8 + 3?

• 10

• 11

• 12

• 13