Distributive property and combining like terms

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 2x + 5x

Back

7x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

Front

Simplify: 3(x + 1) + 3

Back

3x + 6

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

Distribute: 2(x + 3)

Back

2x + 6

Front

Simplify: 2(x + 4) + 2

Back

2x + 10

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

What is the result of combining 4x and 3x?

Back

7x

Front

Simplify: 5x + 2x + 3

Back

7x + 3