Simplifying Expressions

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: 4(-p - 6)

Back

-4p - 24

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

Combine like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable. This simplifies the expression.

Front

Simplify: 6x + 3(-2 - x) - 4

Back

3x - 10

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

Combine like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the importance of simplifying expressions?

Back

Simplifying expressions makes them easier to work with, understand, and solve, especially in equations and inequalities.

Front

Simplify: 6(7 + x) + 5x

Back

11x + 42