Combine Like Terms

Front

What does 'combine like terms' mean in algebra?

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 'term' in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What are 'like terms'?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you simplify the expression 5a + 2b - 7b + 4a?

Back

Combine like terms: 5a + 4a = 9a and 2b - 7b = -5b, resulting in 9a - 5b.

Front

What is the result of simplifying 3x + 2x?

Back

The result is 5x, as you combine the like terms.

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 first step in simplifying an expression?

Back

Identify and group like terms to prepare for combining them.

Front

What does the expression 3^2 represent?

Back

3^2 represents 3 multiplied by itself, which equals 9.

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

Combine like terms: 5x - 2x = 3x and 3 + 8 = 11, resulting in 11 + 3x.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.