Chapter 1 - Equations and Inequalities

Solutions Empty

No ________ set- the solution set for an equation that is never true.

Constants

________- monomials with no variables.

Absolute value

________ bars act as a grouping symbol; solve operations within first (according to PEMDAS)

algebraic expression

Add and /or subtract from left to right Monomial- a(n) ________ that is a number /variable /product of a number and one or more variables.

Polynomial

________- a monomial or a sum of monomials.

Equation

________- a mathematical sentence that sets one expression equal to another.

degree of a constant

The ________ is always 0.

Variables

symbols used to represent unknown numbers.

Algebraic Expressions

expressions that contain at least one variable.

Monomial

an algebraic expression that is a number/variable/product of a number and one or more variables

Coefficient

the numerical factor of a monomial is the __________ of the variable(s).

Degree of a monomial

the sum of the exponents of its variables.

Power

an expression in the form x^n.

Real Numbers

numbers we use in everyday life.

Rational Number

can be expressed as a ratio m/n where m and n are integers and 𝑛 ≠ 0

Open sentence

a mathematical sentence containing one or more variables.

Trichotomy Property

states that exactly one of the following is true for any two real numbers a and b: a<b, a=b, a>b

Compound inequality

consists of two inequalities joined by "and" or "or"