Understanding Like Terms

This video tutorial covers the concept of like terms in algebra. It explains how to identify like terms by examining variable factors and exponents. The tutorial provides examples of expressions and demonstrates how to combine like terms by adding or subtracting their coefficients. It also discusses simplifying expressions and arranging them in descending order based on the degree of terms. The lesson aims to help students understand and apply these concepts effectively.

What are like terms?

• Terms with different coefficients

• Terms with the same variable factors and exponents

• Terms with different variable factors

• Terms with the same coefficients

In the expression 3a - 6a + 10a - a, which terms are like terms?

• 3a and 10a

• -6a and -a

• All terms

• None of the terms

Which of the following pairs are like terms in the expression 5x - 10y + 6z - 3x?

• -10y and 6z

• 6z and -3x

• 5x and -10y

• 5x and -3x

In the expression 7n + 3n^2 - 2n^3 + 8n^2 + n - n^3, which terms are like terms?

• 3n^2 and 8n^2

• 7n and 3n^2

• 7n and -n^3

• -2n^3 and n

How do you combine like terms?

• Multiply the coefficients

• Add or subtract the coefficients

• Ignore the coefficients

• Divide the coefficients

What is the result of combining the like terms in the expression 3a - 6a + 10a - a?

• 5a

• 4a

• 6a

• 7a

What is the simplified form of the expression 5x - 3x?

• 8x

• 2x

• 0

• 5x

In the expression 7n + n, what is the combined term?

• 6n

• n

• 7n

• 8n

What is the correct descending order for the expression 8n + 11n^2 - 3n^3?

• 8n - 3n^3 + 11n^2

• 8n + 11n^2 - 3n^3

• -3n^3 + 11n^2 + 8n

• 11n^2 + 8n - 3n^3

Why is it important to write expressions in descending order?

• It makes the expression longer

• It helps in identifying the highest degree term

• It makes the expression more complex

• It is not important