Parts of Expressions

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression -r + 2, the constant is 2.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol that represents an unknown value. In the expression 5y + 7, the variable is y.

Front

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

Back

Count the number of distinct parts separated by '+' or '-' signs. For example, in 2y + x + 4, there are 3 terms.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the term 4x, the coefficient is 4.

Front

How do you identify the constant in an expression?

Back

The constant is the term in the expression that does not contain any variables. For example, in 7c + 8y + 32, the constant is 32.

Front

What is the difference between a term and a factor in algebra?

Back

A term is a single mathematical expression, while a factor is a number or variable that divides another number or expression evenly. For example, in the term 3xy, both 3, x, and y are factors.

Front

What is the role of parentheses in algebraic expressions?

Back

Parentheses indicate that the operations inside them should be performed first according to the order of operations.

Front

How do you simplify an algebraic expression?

Back

To simplify an expression, combine like terms and perform any operations indicated, such as addition or multiplication.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 + 5, the degree is 3.