10.3 Combine Like Terms

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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the result of combining 7a² - a²?

Back

The result is 6a².

Front

What is the result of combining 7x⁴ - 5x⁴?

Back

The result is 2x⁴.

Front

Combine the like terms: 12 + 3x - x - 12.

Back

The result is 2x.

Front

Identify the like terms in the expression: 2x² + 3x + 2 + x².

Back

The like terms are 2x² and x².

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

What is the equivalent expression for 1/2(8x + 4)?

Back

The equivalent expression is 4x + 2.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.