Simplify Expressions

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, such as 5x and -8x.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable.

Front

What is the result of combining the like terms 3x + 2x + 3y - 7y?

Back

The result is 5x - 4y.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any necessary operations.

Front

How do you simplify the expression -6x + 4(-x - 3)?

Back

First, distribute the 4: -6x - 4x - 12. Then combine like terms: -10x - 12.

Front

What is the process of expanding an expression?

Back

Expanding an expression involves distributing multiplication over addition or subtraction, such as using the distributive property.

Front

Expand and simplify the expression 3(2a + 5) + 5(a - 2). What is the result?

Back

The result is 11a + 5.

Front

What is the simplified form of the expression 2x + 1 + 7x?

Back

The simplified form is 9x + 1.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not.