Combining Like Terms and Operations

This video tutorial explains how to combine like terms with negative coefficients. It outlines two main steps: adding or subtracting numbers with variables and then numbers without variables. The tutorial provides examples to illustrate these steps, emphasizing the importance of understanding how negative and positive signs interact. It also offers tips for handling terms without explicit coefficients, such as assuming a coefficient of one. The video concludes with advanced examples to reinforce the concepts.

What are the two main steps involved in combining like terms with negative coefficients?

• Add numbers with variables, then multiply numbers without variables.

• Add or subtract numbers with variables, then add or subtract numbers without variables.

• Subtract numbers with variables, then divide numbers without variables.

• Multiply numbers with variables, then divide numbers without variables.

If you have two negative signs in a row, what is the result?

• It remains negative.

• It becomes positive.

• It becomes zero.

• It becomes double negative.

What is the result of -5r + 8r?

• -3r

• 3r

• -13r

• 13r

When combining 3R and 5, what should you do?

• Combine them as like terms.

• Add them directly.

• Keep them separate.

• Subtract them.

What is the result of -K + 3K?

• 4K

• -2K

• 2K

• -4K

How do you handle -3x when there are no other variables?

• Ignore it.

• Combine it with constants.

• Keep it as is.

• Multiply it by 2.

What is the result of -6 + (-1)?

• 5

• -7

• -5

• 7

What is the result of 3z - 5z?

• 8z

• 2z

• -2z

• -8z

What is the sum of 2 and 6?

• 8

• 4

• 6

• 10