Combine Like Terms

Front

What does it mean to combine like terms in an algebraic 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 are like terms?

Back

Like terms are terms in an expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 6x + 2x + 1 + 4?

Back

You combine the like terms 6x and 2x to get 8x, and then combine the constants 1 and 4 to get 5, resulting in 8x + 5.

Front

What is the first step in simplifying the expression 7v + 2 + 12 + 2v?

Back

The first step is to identify and combine the like terms 7v and 2v, which gives you 9v.

Front

What is the simplified form of -6 + 2a + 1 + 2a?

Back

Combine the like terms 2a and 2a to get 4a, and combine -6 and 1 to get -5, resulting in -5 + 4a.

Front

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

Back

Combine the like terms 8y and -2y to get 6y, and the constant remains 5, resulting in 6y + 5.

Front

What is the result of simplifying 2x + 1 + 7x?

Back

Combine the like terms 2x and 7x to get 9x, and the constant remains 1, resulting in 9x + 1.

Front

Why is it important to combine like terms in algebra?

Back

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

Front

What is the general process for combining like terms?

Back

1. Identify like terms. 2. Add or subtract the coefficients of like terms. 3. Write the simplified expression.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.