Intermediate Algebra Chapter 1
y-axis
The vertical axis of the coordinate plane
no correlation
There does not appear to be a relationship between two sets of data
order of operations
1. Perform any operation(s) inside grouping symbols 2. Simplify powers 3. Multiply and divide in order from left to right 4. Add and subtract in order from left to right
coordinate plane
A plane formed by two number lines that intersect at right angles
open sentence
A equation that contains one or more variables
scatter plot
A graph that relates data of two different sets. The two sets of data are displayed as ordered pairs
trend line
A line on a scatter plot drawn near the points. It shows a correlation
algebraic expressions
A mathematical phrase that can include numbers, variables, and operation symbols
inequality
A mathematical sentence that compares the values of two expressions using an inequality symbol
equation
A mathematical sentence that uses an equal sign
irrational numbers
A number that cannot be written as a ratio of two integers. Irrational numbers in decimal form are nonterminating and nonrepeating
real numbers
A number that is either rational or irrational
base
A number that is multiplied repeatedly
opposites
A number that is the same distance from zero on the number line as a given number, but lies in the opposite direction
exponent
A number that shows repeated multiplication
term
A number, variable, or the product or quotient of a number and one or more variables
deductive reasoning
A process of reasoning logically from given facts to a conclution
rational numbers
A real number that can be written as a ratio of two integers. Rational numbers in decimal form are terminating or repeating
matrix
A rectangular arrangement of number. The number of rows and columns of a matrix determines its size. Each item in a matrix is an element
variable
A symbol, usually a letter, that represents one or more numbers
constant
A term that has no variable factor
element
An item in a matrix
counterexample
Any example that proves the statement false
multiplicative inverse
Given a nonzero rational number a/b, the multiplicative inverse, or reciprocal, is b/a. The product of a nonzero number and its multiplicative inverse is 1
reciprocal
Given a nonzero rational number a/b, the reciprocal, or multiplicative inverse, is b/a. The product of a nonzero number and its reciprocal is 1
simplify
Replace an expression with its simplest name or form
evaluate
Substitute a given number for each variable, and then simplify
like terms
Terms with exactly the same variable factors in a variable expression
power
The base and the exponent of an expression form a^n
natural numbers
The counting numbers
absolute value
The distance that a number is from zero on a number line
quadrants
The four parts into which the coordinate plane is divided by its axes
x-axis
The horizontal axis of the coordinate plane
x-coordinate
The location on the x-axis of a point on a coordinate plane
y-coordinate
The location on the y-axis of a point on a coordinate plane
whole numbers
The nonnegative integers
coordinates
The numbers that make an ordered pair and identify the location of a point
coefficients
The numerical factor when a term has a variable
additive inverse
The opposite of a number. Additive inverses sum to 0
origin
The point at which the axes of the coordinate plane intersect
positive correlation
The relationship between two sets of data in which both sets of data increase together
negative correlation
The relationship between two sets of data, in which one set of data decreases as the other set of data increases
ordered pair
Two numbers that identify the location of a point
integers
Whole numbers and their opposites
