Combining Like Terms and Distribution

In this video, Mr. Peters introduces the concept of combining like terms after distribution in algebra. He begins with a simple example using numbers and then progresses to more complex problems involving variables. The video demonstrates two methods for solving these problems and emphasizes the importance of correctly identifying and combining like terms. The session concludes with an additional problem that includes negative signs, reinforcing the concepts taught.

What is the main topic discussed in this video?

• Solving quadratic equations

• Combining like terms after distribution

• Graphing linear equations

• Factoring polynomials

In the numerical example, what is the result of 5 times (20 + 6)?

• 140

• 120

• 130

• 150

What is the alternative method to solve 5 times (20 + 6) discussed in the video?

• Add 20 and 6, then multiply by 5

• Multiply 5 by 20, then add 6

• Multiply 5 by 6, then add 20

• Subtract 6 from 20, then multiply by 5

When introducing variables, what is the expression given in the example?

• 3(2x + 6y + 4x)

• 4(5w + 2) + 10w

• 2(3x + 4y)

• 5(20 + 6)

In the example with variables, what should not be multiplied by 4?

• 5w

• 2

• 10w

• None of the above

What is the result of distributing 4 in the expression 4(5w + 2) + 10w?

• 20w + 10w

• 20w + 8

• 20w + 8 + 10w

• 8 + 10w

What is the first step in solving 4(5w + 2) + 10w?

• Distribute 4 to 5w and 2

• Add 5w and 10w

• Multiply 4 by 10w

• Add 2 and 10w

What is the result of distributing 4 in the expression 4(5w + 2)?

• 20w + 2

• 20w + 8

• 8 + 10w

• 20w + 10w

What is the final expression after combining like terms in 20w + 8 + 10w?

• 28w + 8

• 30w + 10

• 20w + 18

• 30w + 8

In the multiple terms example, what are the like terms inside the parentheses?

• 6y and 4x

• 2x and 6y

• None of the above

• 2x and 4x