Combining Like Terms to Simplify Expressions

Mrs. C explains how to combine like terms to simplify algebraic expressions. She defines like terms as terms with the same variables and exponents, including constants. Through examples, she demonstrates how to identify and combine like terms using addition and subtraction. The video includes step-by-step simplifications of expressions, emphasizing the importance of coefficients and traditional algebraic form.

What are like terms?

• Terms with different variables

• Terms with no variables

• Terms with different exponents

• Terms with the same variables and exponents

Which of the following are like terms?

• 2X^3 and 2X

• 3X and 3Y

• 4X^2 and -X^2

• 5 and 5X

How do you combine like terms?

• Divide the coefficients

• Multiply the coefficients

• Add or subtract the coefficients

• Ignore the coefficients

What is the simplified form of 8 + 6?

• 10

• 14

• 12

• 16

What is the result of combining -7X^2 and -X^2?

• -7X^2

• -8X^2

• -6X^2

• -9X^2

In the expression 3XY + 5 + 6Y - 4Y, which terms are like terms?

• 3XY and 5

• 6Y and -4Y

• 3XY and 6Y

• 5 and 6Y

What is the traditional algebraic form of the expression 3XY + 2Y + 5?

• 5 + 2Y + 3XY

• 2Y + 3XY + 5

• 3XY + 5 + 2Y

• 3XY + 2Y + 5