Combining Like Terms - 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

Simplify: 15x + 19 + 2x + 4

Back

17x + 23

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: 4q + 4t + 3q + t

Back

7q + 5t

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent, such as 3x and 5x.

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What is the first step in simplifying an expression with like terms?

Back

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

Front

Simplify: 6x + 12x + 3y

Back

18x + 3y

Front

What is the result of combining r + 10r?

Back

11r

Front

How do you apply the Distributive Property to 2(3 + 4)?

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.