Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (such as addition, subtraction, multiplication, and division).

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What are unlike terms?

Back

Unlike terms are terms that have different variables or different powers of the same variable. For example, 3x and 4y are unlike terms.

Front

What is a numerical coefficient?

Back

A numerical coefficient is a number that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the numerical coefficient.

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 + 7, the degree is 3.

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 result of combining like terms 2x + 3x?

Back

The result is 5x.

Front

What is the result of 11z - 12z?

Back

The result is -z.

Front

What is the sum of 123xyz + 123xyz?

Back

The sum is 246xyz.

Front

If z = 31, what is 30 - z?

Back

The result is -1.