Adding and SUbtracting Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

Front

What does it mean to add monomials?

Back

To add monomials, combine like terms, which are terms that have the same variable raised to the same power.

Front

What does it mean to subtract monomials?

Back

To subtract monomials, subtract the coefficients of like terms while keeping the variable part the same.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the sum of the lengths of all its sides, calculated as P = 2(length + width).

Front

How do you simplify the expression (5x + 2) + (4x + 5)?

Back

Combine like terms: (5x + 4x) + (2 + 5) = 9x + 7.

Front

What is the result of (4x - 2x^3) + (5x^3 - 4x + 5)?

Back

Combine like terms: (-2x^3 + 5x^3) + (4x - 4x) + 5 = 3x^3 + 5.

Front

How do you subtract the polynomials (2x^3 - 3x^2 + 5x - 7) - (x^3 + x^2 - 2x + 4)?

Back

Distribute the negative sign and combine like terms: (2x^3 - x^3) + (-3x^2 - x^2) + (5x + 2x) + (-7 - 4) = x^3 - 4x^2 + 7x - 11.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more monomials.

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial, representing how many times the variable is multiplied.