TEST - Adding, Subtracting, and Multiplying Polynomials

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3x^2 are not.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent. For example, in 5x + 2 + 4x + 5, combine 5x and 4x to get 9x, and combine 2 and 5 to get 7, resulting in 9x + 7.

Tags

CCSS.7.EE.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

Simplify: (4x^2 + x) - (x^2 + 2x)

Back

3x^2 - x

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying a polynomial by a monomial?

Back

When multiplying a polynomial by a monomial, distribute the monomial to each term in the polynomial. For example, 2x(3x + 4) = 6x^2 + 8x.

Tags

CCSS.HSA.APR.A.1

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means to combine like terms and reduce the expression to its simplest form.

Tags

CCSS.6.EE.A.4

Front

What is the result of simplifying: 5(3x + 2)?

Back

15x + 10

Tags

CCSS.6.EE.A.3

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to each term in the polynomial being subtracted, then combine like terms.

Tags

CCSS.HSA.APR.A.1

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 + x, the degree is 3.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x + 1 is a polynomial.