Combining Like Terms

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

What is a coefficient?

• A variable in an equation

• A numerical factor in a term

• A type of polynomial

• A constant value in a function

What is a term in an algebraic expression?

• A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 5x or 3.

• A term is always a number and cannot include variables.

• A term is a mathematical operation like addition or subtraction.

• A term is a group of numbers that are added together.

What is the result of combining the like terms in the expression: 4m + 2n - 3m + n?

• m + 2n

• m + 3n

• 2m + 3n

• m + 3n.

How do you identify like terms in an expression?

• Like terms can be identified by looking for terms that have the same variable(s) and exponent(s).

• Like terms are identified by their numerical coefficients only.

• Like terms must have different variables but the same exponent.

• Like terms can be identified by their position in the expression.

What is the result of combining the like terms in the expression: -2x + 11 + 6x?

• 4x + 11

• 3x + 11

• -4x + 11

• -4x + 5

What is the result of combining the like terms in the expression: 5a + 3b - 2a + 4b?

• 3a + 7b

• 2a + 5b

• 5a + 7b

• 3a + 4b

What does it mean to simplify an expression?

• To combine like terms and reduce it to its simplest form.

• To make the expression longer and more complex.

• To change the variables in the expression.

• To evaluate the expression for a specific value.

Simplify the expression: 2x + 1 + 7x.

• 8x + 1

• 9x + 1

• 7x + 1

• 10x + 1

Simplify the expression: 3t + 7y + t + 3y.

• 4t + 10y

• 3t + 8y

• 5t + 6y

• 2t + 11y