Combining Like Terms

What is a coefficient?

• A variable in an equation

• A numerical factor in a term

• A constant value that does not change

• An exponent in a mathematical expression

What is a variable?

• A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

• A variable is a fixed value that does not change.

• A variable is a type of data structure used to store multiple values.

• A variable is a function that performs a specific operation.

What is the difference between like terms and unlike terms?

• Like terms have different variables, while unlike terms have the same variable.

• Like terms have the same variable and exponent, while unlike terms do not.

• Like terms are always positive, while unlike terms can be negative.

• Like terms can only be constants, while unlike terms are variables.

Simplify: 8q + 3q - 6t + 2q - 4q

• 9q - 6t

• 7q - 6t

• 10q - 6t

• 8q - 5t

Why is it important to combine like terms?

• It makes expressions more complex and harder to understand.

• It helps in simplifying expressions, making them easier to work with and understand.

• It allows for the introduction of new variables into the equation.

• It is a necessary step in solving equations without any benefits.

How do you combine like terms?

• Add or subtract the coefficients of the terms that have the same variable.

• Multiply the coefficients of the terms with different variables.

• Divide the coefficients of the terms with the same variable.

• Ignore the coefficients and only focus on the variables.

Simplify: 12b + 4b^2 - 10b

• 4b^2 + 2b

• 4b^2 + 3b

• 2b^2 + 2b

• 4b^2 - 2b

Simplify: 10d - 3d + 2e + 4d

• 10d + 2e

• 11d + 2e

• 7d + 2e

• 13d + 2e

What are like terms?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are always positive

• Terms that can be added together regardless of their variables

Simplify: 10w + 3d + 3w + d

• 12w + 3d

• 13w + 4d

• 10w + 4d

• 14w + 2d