Identify and Combine Like Terms and the Distributive Property

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable.

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change.

Front

Simplify the expression: 3x + 5x.

Back

8x.

Front

Simplify the expression: 4y - 2y + 7.

Back

2y + 7.

Front

What is the result of applying the distributive property to -3(2c - 5)?

Back

-6c + 15.

Front

Simplify the expression: -6x + 4(-x - 3).

Back

-10x - 12.