Simplifying Expressions

Front

What is a constant term in an expression?

Back

A constant term is a term in an expression that does not contain any variables. It is a fixed value.

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the result of simplifying the expression: -4x + 5 + 10x - x²?

Back

The simplified expression is 6x + 5 - x².

Front

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

Back

The sum is −x + 2.

Front

What is the result of adding the expressions (3x + 15) + (4x + 13)?

Back

The result is 7x + 28.

Front

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

Back

The coefficient of the term 4x is 4.

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 is the process of distributing in algebra?

Back

Distributing involves multiplying a single term by each term inside a set of parentheses.

Front

What is the simplified form of the expression (y - 6x + 5) + (6y - 5x + 3) + (5y + 2x - 7)?

Back

The simplified form is 12y - 9x + 1.