Simplifying Algebraic Expressions

The video tutorial explains how to simplify an algebraic expression by grouping and combining like terms. It starts with an expression involving multiple terms with the variable B and constants. The instructor guides through identifying like terms, combining them, and performing arithmetic operations to simplify the expression to its final form. The process involves understanding the role of coefficients and constants, and how to handle negative signs in calculations.

What is the first step in simplifying the expression 2B + 10 + 4B - 8 - 8B?

• Multiply all terms by 2

• Divide all terms by B

• Group like terms

• Combine all constants

Which of the following are considered like terms in the expression 2B + 4B - 8B?

• 2B and 10

• 4B and -8

• 2B, 4B, and -8B

• 10 and -8

What is the result of combining the coefficients of B in the expression 2B + 4B - 8B?

• 6B

• 0B

• 2B

• -2B

What is the importance of identifying like terms in an expression?

• To multiply them together

• To change their signs

• To simplify the expression

• To divide them by a constant

After grouping like terms, what is the next step in simplifying the expression?

• Divide the entire expression by 2

• Subtract the variables

• Multiply the coefficients

• Add the constants

What is the result of adding the constants 10 and -8?

• 0

• 2

• -2

• 18

Which operation is performed after grouping like terms in the expression?

• Addition

• Multiplication

• Division

• Subtraction

Why is it important to add constants separately from variables?

• To make the expression longer

• To ensure correct simplification

• To avoid errors in multiplication

• To change the expression's value

What is the final simplified form of the expression 2B + 10 + 4B - 8 - 8B?

• 2B + 2

• -2B + 2

• 0B + 2

• 6B + 2

In the expression 2B + 4B - 8B, what happens to the sign when combining the coefficients?

• The sign of the largest coefficient is used

• The sign of the smallest coefficient is used

• The sign of the first term is used

• The sign of the last term is used