MAT070 Vocab

The symbols < and > are called _____

inequality symbols

A mathematical statement that two expressions are equal is called an _____

equation

The _____ of a number is the distance between that number and 0 on the number line.

absolute value *(memorize)

A symbol used to represent a number is called a _____

variable

Two numbers that are the same distance from 0 but lie on opposite sides of 0 are called _____

additive inverse OR opposite

The number in a fraction above the fraction bar is called the _____

numerator

A _____ of an equation is a value for the variable that makes the equation a true statement.

solution

Two numbers whose product is 1 are called _____

multiplicatitive inverse OR reciprocal

In 2^3, the 2 is called the _____ and the 3 is called the _____

base; exponent

The number in a fraction below the fraction bar is called the _____

denominator

Parentheses and brackets are examples of _____

inclusion signs OR grouping symbols

A _____ is a collection of objects

set

{1,2,3,4,...} is the set of _____

natural numbers

{0,1,2,3,4,...} is the set of _____

whole numbers

{...,-3,-2,-1,0,1,2,3,...} is the set of _____

integers

Real numbers that can be expressed as a quotient of integers are called _____

rational numbers

Real numbers that cannot be expressed as a quotient of integers are called _____

irrational numbers

Numbers that correspond to a point on the number line are called _____

real numbers

For real numbers a and b, a + b = b + a is called _____

Commutative property of Addition (order doesn't matter)

For real numbers a and b, a • b = b • a is called _____

Commutative Property of Multiplication (order doesn't matter)

For real numbers a, b, and c, (a + b) + c = a + (b + c) is called _____

Associative Prop. of Addition (grouping)

For real numbers a, b, and c, (a • b) • c = a • (b • c) is called _____

Associative Prop. of Multiplication (grouping)

For real numbers a, b, and c, a • (b + c) = a • b + a • c is called _____

Distributive Property

For real number a, a + 0 = a is called _____

Additive Inverse

For real number a, a • 1 = a is called _____

Multiplicative Identity

For real number a, a + (-a) = 0 is called _____

Additive Inverse

For real number a, a • (1/a) = 1 is called _____

Multiplicative Inverse

For real numbers a and b, a - b = a + (-b) is called _____

Definition of Subtraction

Terms with the same variables raised to exactly the same powers are called _____

like terms

A _____ can be written in the form ax + b = c

linear equation

Equations that have the same solution are called _____

equivalent equations

Inequalities containing two inequality symbols are called _____

compound

An equation that describes a known relationship among quantities is called a _____

formula

A _____ can be written in the form ax + b < c OR ax + b > c

linear inequality in one variable

The _____ of a term is its numerical factor

coefficient

Adding the same number to both sides of an equation does not change its solution is called _____

Addition property of equality

Multiplying both sides of an equation by a nonzero number does not change its solution is called _____

Multiplicative Property of equality

Adding the same number to both sides of an inequality does not change its solution is called _____

Addition property of inequality

Multiplying both sides of an inequality by the same positive number does not change its solution is called _____

Multiplicative property of inequality

An ordered pair is a _____ of an equation in two variable if replacing the variables by the coordinates of the ordered pair results in a true statement

Solution

The vertical number line in the rectangular coordinate system is called the _____

y-axis

A _____ equation can be written in the form Ax+By=C

linear

A(n) _____ is a point of the graph where the graph crosses the x-axis

x-intercept

The form Ax+By=C is called _____ form.

Standard

To find an x-intercept of a graph, let _____ = 0

y

The horizontal number line in the rectangular coordinate system is called the _____

x-axis

To find a y-intercept of a graph, let _____ = 0

x

The _____ of a line measures the steepness or tilt of a line.

slope

A set of ordered pairs that assigns to each x-value exactly one y-value is called a _____

function

The set of all x-coordinates of a relation is called the _____ of the relation

domain

The set of all y-coordinates of a relation is called the _____ of the relation

range

A set of ordered pairs is called a _____

relation

The point of intersection of the axes is called the _____

origin

A _____ is a number or the product of numbers and variables raised to powers

term

A polynomial with exactly 3 terms is called a _____

trinomial

The _____ is the greatest degree of any term of the polynomial

degree

A polynomial with exactly 2 terms is called a _____

binomial

The _____ of a term is its numerical factor

coefficient

The _____ is the sum of the exponents on the variable in the term

degree of the term

A polynomial with exactly 1 term is called a _____

monomial

Monomials, binomials, and trinomials are all examples of _____

polynomials

_____ is the process of wringing an expression as a product

Factoring

The _____ of a list of terms is the product of all the common factors

GCF = Greatest Common Factor