Parts of an Expression

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in the expression 4x, 4 is the coefficient.

Front

Identify a constant in the expression 3x + 2y + 7.

Back

The constant in the expression is 7, as it does not change and has no variable attached.

Front

How many terms are in the expression 3x + 2y + z?

Back

There are 3 terms in the expression: 3x, 2y, and z.

Front

What is a constant in algebra?

Back

A constant is a number that does not change and has no variable attached to it.

Front

How many terms are in the expression 7y + 3 - 7k - 2?

Back

There are 4 terms in the expression: 7y, 3, -7k, and -2.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol (often a letter) that represents an unknown value. For example, in the expression x + 5, x is the variable.

Front

Define an algebraic expression.

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 2x + 3 is an algebraic expression.

Front

What is a term in an 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 4x + 5y - 2, there are three terms: 4x, 5y, and -2.

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 the difference between a term and a factor?

Back

A term is a single part of an expression, while a factor is a number or variable that is multiplied in an expression. For example, in 3xy, 3, x, and y are all factors, and 3xy is a term.