Simplifying Algebraic Expressions and Combining Like Terms

This video tutorial covers the basics of algebraic expressions, including terms, variables, and coefficients. It explains the importance of signs in expressions and demonstrates how to use the distributive property to simplify expressions. The tutorial also includes a practical example of calculating project fees using algebraic expressions and emphasizes the process of combining like terms for simplification. The lesson concludes with a summary and a preview of the next topic.

What separates the terms in an algebraic expression?

• Equal signs

• Plus and minus signs

• Multiplication and division signs

• Parentheses

What is a variable in an algebraic expression?

• A number directly to the left of a variable

• A letter representing an unknown amount

• A constant value

• A known quantity

What does a coefficient indicate in an algebraic expression?

• Division

• Multiplication

• Subtraction

• Addition

Which sign belongs to the term in an algebraic expression?

• The sign above the term

• The sign below the term

• The sign to the right of the term

• The sign to the left of the term

How can the distributive property be used to simplify 2(5 + 4)?

• 2 + 5 + 4

• 2 + 5 * 4

• 2 * 5 + 4

• 2 * 5 + 2 * 4

What is the simplified form of 2(5 - 4)?

• 2 * 5 - 2 * 4

• 2 * 5 + 2 * 4

• 2 + 5 - 4

• 2 * (5 - 4)

How do you combine like terms in the expression 30 + 15h + 25 + 18.50h?

• Subtract all terms

• Add all terms together

• Multiply all terms

• Combine constants and variables separately

What is the simplified form of 15h + 18.50h?

• 15 + 18.50

• 33.50h

• 33.50

• 15h + 18.50

What determines the sign of the sum when adding two terms?

• The sign of the term with the greatest absolute value

• The sign of the last term

• The sign of the first term

• The sign of the term with the smallest absolute value

What is the simplified form of 7a + 1/2 + 6a - 3.5?

• 7a + 6a - 3

• 7a + 6a + 1/2 - 3.5

• 13a + 3

• 13a - 3