8.21.25 Simplifying Expressions 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: 6(x + y + 7)

Back

6x + 6y + 42

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify: (3b - 4) - (4b + 6)

Back

-b - 10

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

Simplify: 2a + 3a - 5

Back

5a - 5

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

Simplify: 4x + 2y - 3x + 5y

Back

x + 7y

Front

What is the first step in simplifying an expression?

Back

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

Front

Simplify: 5(2x + 3)

Back

10x + 15