Simplifying Expressions: Combining Like Terms

This video lesson on algebra focuses on combining like terms and understanding algebraic properties. It covers key vocabulary such as variables, coefficients, and constants, and provides examples of simplifying expressions by combining like terms. The lesson also discusses unlike terms, constant terms, and how to handle positive and negative integers in expressions. Students are encouraged to practice these concepts through examples and exercises.

What is the term for a number that multiplies a variable in an algebraic expression?

• Constant

• Coefficient

• Term

• Variable

In the expression 5K + 2, what is the constant term?

• 2

• 5K

• 5

• K

How can we represent three grass blocks using a variable G?

• G + G

• 3G

• G * 3

• G + 3

What is the simplified form of 3Z + 2Z?

• Z

• 5Z

• 6Z

• 3Z + 2Z

Why can't we add 3G and 5C together?

• They are constants

• They are unlike terms

• They are coefficients

• They are both variables

What do we call terms in an algebraic expression that have the same variable?

• Constant terms

• Coefficients

• Unlike terms

• Like terms

In the expression 7 + 6D + 3, which terms are constants?

• 7 and 3

• 7 and 6D

• 7 and 6

• 6D and 3

What is the simplified form of 7 + 6D + 3?

• 7 + 6D + 3

• 10 + 6D

• 7 + 3 + 6D

• 6D + 10

How do we simplify 4E + 3 - 2E?

• E + 3

• 4E - 2E + 3

• 6E + 3

• 2E + 3

What is the simplified form of 12N - 5 + 7N + 11?

• 19N - 5 + 11

• 12N + 7N - 5 + 11

• 19N + 16

• 19N + 6