# alg.1 3rd

## 60 terms

### variables

symbols used to represent unspecified numbers or values

### algebraic expression

expression with one or more numbers/variables and one or more operations

### factors

quantities being multiplied in an expression

### product

the result of quantities being multiplied

### power

an expression of the form x^n, read x to the nth power

### base

variable x in a power

"n" in a power

### evaluate

to find the value of an expression

### x-axis

the horizontal number line

### y-axis

the vertical number line

### origin

point where the x and y axes intersect (0,0)

### x-coordinate

indicates how far to the left or to the right of the y-axis a specific point is located

### y-coordinate

indicates how far above or below the x-axis a specific point is located

### ordered pair

coordinates of a point which identifies the point's location (x,y)

the four regions of the coordinate plane, identifies by Roman Numerals

### order of operations

the rules to the order of performing more than one operation in an expression, the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction

0 because x+0=x

1 because x*1=x

0*x=0

reciprocal

### term

a number, variable, or a product or quotient of numbers and variables

### like terms

terms that contain the same variables, and corresponding variables will have the same exponent

### equivalent expressions

expressions that denote the same number

### coefficient

the numerical factor of a term

### simplest form

when an expression is replaced by an equivalent expression having no like terms or parentheses

### distributive property

multiplying the term outside of the parentheses times all of the terms inside the parentheses

### commutative property

changing the order in which you add or multiply (not changing the sum or product)

### associative property

grouping three or more numbers when adding or multiplying (not changing the sum or product)

x=x

### symmetric property

if 6+3=9 then 9=6+3

### transitive property

if a=b and b=c, then a=c

### substitution property

if x=10 then 7x=7(10)

### conditional statement

can be written in the if-then form

### hypothesis

the 'if' part of a conditional statement

### conclusion

the 'then' part of a conditional statement

### deductive reasoning

the process of using facts, rules, definitions, or properties to reach a valid conclusion

### counterexample

a specific case where the statement is false

### inductive reasoning

the process of using repeated experiences to reach a conclusion

### function

relationship between input and output

### Coordinate system

the grid formed by the intersection of two number lines, the horizontal axis and the vertical axis

### Independent variable

the quantity whose value is independent of the second quantity; usually the variable x

### Dependent variable

the quantity whose value depends on the value of the first quantity; usually the variable y

### domain

the set of all the FIRST numbers in an ordered pair

### range

the set of all SECOND numbers in an ordered pair

### relation

when two variables have a relationship to each other; ordered pairs; x,y charts/graphs

divided by 100

### bar graph

compares different categories of data by showing each category as a bar whose length is related to the frequency

### circle graph

compares parts of a set of data as a percent of the whole set

### data

numerical information gathered for statistical purposes

### element

each object or number in a set

### equation

mathematical sentence that contains an equals sign

### inequality

an open sentence that contains the symbol ≥,≤, <, or >

### line graph

numerical data displayed to show trends or changes over time

### open sentence

mathematical statement with one or more variables

### reciprocal

multiplicative inverse of a number

### replacement set

a set of numbers from which replacements for a variable may be chosen

### set

a collection or objects or numbers, often shown using braces { } and usually named by a capital letter

### solution

a replacement value for the variable in an open sentence

### solution set

the set of elements from the replacement set that make an open sentence true

### solving an open sentence

finding a replacement value for the variable resulting in a true statement