Combining Like Terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a like term?

Back

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

Front

How do you combine the terms in the expression: n - 10 + 9n - 3?

Back

Combine like terms: n + 9n = 10n and -10 - 3 = -13, resulting in 10n - 13.

Front

What is the simplified form of the expression: 4b - 25 + 19?

Back

Combine like terms: -25 + 19 = -6, resulting in 4b - 6.

Front

What is the result of simplifying the expression: 3x - 5x?

Back

Combine like terms: 3x - 5x = -2x.

Front

How do you simplify the expression: 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, resulting in 9v + 14.

Front

What is the process for simplifying the expression: 5a + 2b - 3a + 4?

Back

Combine like terms: 5a - 3a = 2a and 2b remains the same, resulting in 2a + 2b + 4.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and understand, which is essential for solving equations and inequalities.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. Only like terms (terms with the same variable) can be combined.

Front

What is the first step in simplifying an algebraic expression?

Back

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