Combining like terms and Distributive Property

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting 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 a sum or difference.

Front

Simplify the expression: 4x + 3x.

Back

7x

Front

What is the result of applying the Distributive Property to -3(a + 3)?

Back

-3a - 9

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

Combine like terms to get 2a + 2b + 4.

Front

What is the simplified form of 6(x + y + 7) using the Distributive Property?

Back

6x + 6y + 42.

Front

If you have the expression 2(x + 4), what is the simplified result?

Back

2x + 8.

Front

What are like terms?

Back

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

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.