Combining Like Terms and Distributive Property Practice

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

Simplify: 5a + 2b - 3a + 4

Back

2a + 2b + 4

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.

Front

Simplify: 7x² - 9x + x - 12 + 5x² + 3

Back

12x² - 8x - 9

Front

What is a constant in an algebraic expression?

Back

A constant is a term that does not contain any variables, such as the number 2 in the expression 5g³ + 2.

Front

Combine like terms: n - 10 + 9n - 3

Back

10n - 13

Front

Simplify: 3d - 12 + d - 17 - 15x

Back

4d - 15x - 29

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 5x.

Front

How do you identify the coefficient in an expression?

Back

The coefficient is the numerical factor in front of a variable, such as 5 in 5x.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and group like terms together.