Algebraic Expressions

Front

What are unlike terms?

Back

Unlike terms are terms that have different variables or different powers of the same variable. For example, 12x and 23 are unlike terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 11x, 43x, and 560x are like terms.

Front

What is a literal coefficient?

Back

A literal coefficient is the numerical factor in a term that contains variables. For example, in 567817xy, the literal coefficient is 567817.

Front

What is the sum of 123xyz + 123xyz?

Back

The sum is 246xyz.

Front

What is the result of 11z - 12z?

Back

The result is -1z or -z.

Front

Define an algebraic expression.

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, x is a variable.

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 difference between a term and an expression?

Back

A term is a single mathematical entity (like 5x or 3), while an expression is a combination of terms (like 5x + 3).

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, the degree is 3.