Simplifying Algebraic Expressions by Combining Like Terms

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the first step in simplifying an algebraic expression?

Back

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

Front

Simplify the expression: 9x + 4y - 3y + 5x + 8

Back

14x - y + 8

Front

Simplify the expression: 15 + 8c - 5c - 8

Back

3c + 7

Front

Simplify the expression: 10n - 3n + 5 + 4n - 2

Back

11n + 3

Front

Simplify the expression: b + b + b + 5

Back

3b + 5

Front

Simplify the expression: 7b + 6 - 3b + 3

Back

4b + 9

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

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.