Unit 1: Adding and Subtracting Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What are like terms in a polynomial?

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 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.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial, then combine like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

Front

What is the associative property?

Back

The associative property states that the way in which numbers are grouped does not change their sum or product. For example, (a + b) + c = a + (b + c).

Front

What is the commutative property?

Back

The commutative property states that the order in which two numbers are added or multiplied does not change the result. For example, a + b = b + a.

Front

Calculate the perimeter of a rectangle with length 5x - 2 and width 3x + 1.

Back

Perimeter = 2(length + width) = 2((5x - 2) + (3x + 1)) = 2(8x - 1) = 16x - 2.

Front

What is the perimeter of a rectangular picture frame if x = 4?

Back

If x = 4, then the perimeter is 16(4) - 2 = 64 - 2 = 62 inches.