alg.1 3rd
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60 terms
Terms | Definitions |
|---|---|
 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 |
| exponent | "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) |
| quadrants | 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 |
| additive identity | 0 because x+0=x |
| multiplicative identity | 1 because x*1=x |
| multiplicative property of zero | 0*x=0 |
| multiplicative inverse | 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) |
| reflexive property | 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 |
| percent | 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 |
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