Simplifying Algebraic Expressions by Combining Like Terms

Front

What is a constant term in an algebraic expression?

Back

A term that does not contain any variables. For example, in the expression 3x + 5, the number 5 is a constant.

Front

How do you combine like terms?

Back

Add or subtract their coefficients while keeping the variable part the same.

Front

Simplify the expression: b + b + b + 5

Back

3b + 5

Front

What is the coefficient in the term 7x?

Back

7

Front

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

Back

3c + 7

Front

What is an algebraic expression?

Back

An expression that contains numbers, variables, and operations. For example, 2x + 3.

Front

What are like terms?

Back

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

Front

What is a variable in algebra?

Back

A symbol, usually a letter, that represents a number. For example, in 4x, 'x' is the variable.

Front

What does it mean to simplify an expression?

Back

To combine like terms and reduce the expression to its simplest form.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x), while an expression is a combination of terms (like 3x + 5).