Identifying and Simplifying Like Terms

The video tutorial explains how to simplify an algebraic expression by grouping like terms. It begins with identifying terms with the same variables, known as like terms, and then groups them together. The tutorial demonstrates the process of adding and subtracting these terms to simplify the expression to its simplest form. The final simplified expression is presented as the result of this process.

What is the first step in simplifying an algebraic expression?

• Add all the numbers together

• Identify and group like terms

• Multiply all terms by a constant

• Divide the expression by the highest coefficient

Which of the following is a like term to 4a?

• 7b

• 3a

• 5b

• 6

What are like terms?

• Terms with different variables

• Terms with the same coefficients

• Terms with the same variables

• Terms with different coefficients

In the expression 5b - 7b, what is the coefficient of b?

• 5

• 12

• -2

• -7

What is the purpose of identifying like terms?

• To add or subtract them

• To multiply them together

• To ignore them in the expression

• To divide them by a constant

Which of the following is NOT a like term to 5b?

• 7b

• 5b

• -7b

• 3a

How do you group like terms in the expression 4a + 5b + 3a - 7b?

• 4a + 3a and 5b - 7b

• 4a + 5b and 3a - 7b

• 4a + 5b + 3a - 7b

• 4a - 7b and 5b + 3a

What is the result of adding the like terms 4a and 3a?

• 7a

• 0a

• 1a

• 12a

What is the simplified form of 5b - 7b?

• 12b

• 0b

• -2b

• 2b

What is the constant term in the expression 4a + 5b + 3a + 6 - 7b?

• 4

• 5

• 6

• 7