Simplifying Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

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.

Front

What are like terms?

Back

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

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a constant term?

Back

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

Front

How do you add two expressions?

Back

To add two expressions, combine like terms by adding their coefficients.

Front

What is the sum of (−3x + 7) + (2x − 5)?

Back

The sum is −x + 2.

Front

What is the sum of (3x + 15) + (4x + 13)?

Back

The sum is 7x + 28.

Front

What is the coefficient of the 3rd term in the expression 3x - 1 + 4x - 10?

Back

The coefficient is 4.

Front

What is the constant term in the expression -4x + 5 + 10x - x²?

Back

The constant term is 5.