Parts of an Expression

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in the expression 3x, 3 is the coefficient.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in 3x + 4 - 2, there are three terms: 3x, 4, and -2.

Front

How do you identify the number of terms in an expression?

Back

Count each distinct part of the expression that is separated by '+' or '-'. For example, in 3a + 2b + c + 100, there are 4 terms.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 2x + 5 is an algebraic expression.

Front

What is a variable in an expression?

Back

A variable is a symbol (often a letter) that represents an unknown value. For example, in the expression 3x, 'x' is the variable.

Front

How many coefficients are in the expression 3a + 2b + c + 100?

Back

There are 2 coefficients: 3 (for 'a') and 2 (for 'b'). 'c' and '100' do not have coefficients.

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. For example, 2x + 3x simplifies to 5x.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 4, the number 4 is a constant.

Front

How do you combine like terms?

Back

Like terms are terms that have the same variable raised to the same power. To combine them, add or subtract their coefficients. For example, 2x + 3x = 5x.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal, using an '=' sign.