Unit 1: Lesson 1- 5

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

What is a leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in the polynomial 4x^3 + 2x^2 + 3, the leading coefficient is 4.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 5x^4 + 3x^2 + 2, the degree is 4.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, in 3x + 2x - 5x, combine to get 0x.

Front

What is the simplified form of the expression 4x - 2x + 7 - 3?

Back

The simplified form is 2x + 4.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include √2 and π.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^3 + 3x^2 - x + 5 is a polynomial.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any possible operations.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed in this way.