Simplifying Algebraic Expressions: Combining Like Terms

The video tutorial covers simplifying algebraic expressions by combining like terms. It begins with an introduction to the lesson and homework details, followed by a discussion on changing minus signs to addition for simplification. The instructor provides step-by-step examples of combining like terms, including advanced problems and rules for exponents. The tutorial concludes with final examples and remarks, emphasizing the importance of understanding like terms and exponent rules.

What is the first step recommended for simplifying algebraic expressions?

• Divide all terms

• Multiply all terms

• Change minus signs to addition

• Combine like terms

In the expression X + 4 + 7 + (-5X), what are the like terms?

• X and 4

• 4 and -5X

• 4 and 7

• X and -5X

What is the result of combining 6n and 1n?

• 8n

• 7n

• 5n

• 6n

How do you combine -8X and -9X?

• 17X

• -1X

• -17X

• 1X

Which of the following pairs are like terms?

• 6V^2 and 6V^3

• 6V^2 and -3V^2

• 2V^3 and 8V^2

• 4 and 4V

What is the result of combining 5V and 3V?

• 2V

• 5V

• 8V

• 15V

When combining terms with different signs, what should you do?

• Add the terms

• Divide the terms

• Subtract the smaller absolute value from the larger absolute value

• Multiply the terms

What is the result of combining -5P^3 and 3P^3?

• -8P^3

• 2P^3

• 8P^3

• -2P^3

What is the result of combining 8X^3 and -5X^3?

• 13X^3

• -3X^3

• -13X^3

• 3X^3

What should you do if you encounter a term like 4 + (-4) in an expression?

• Keep it as is

• Change it to 0

• Change it to 8

• Change it to -8