math final
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51 terms
Terms | Definitions |
|---|---|
 quadrant | One of the four regions formed by the intersection of the axes in a rectangular coordinate system |
| slope of a line | rise over run |
| standard form | Ax + By=C,( where A, B, and C are integers, and A B are both not zero) |
| point slope form | an equation of the form y - y1 = m(x - x1) |
| slope intercept form | y=mx+b |
| coefficient | the numerical factor in a monomial |
| monomial | a constant (a number), a variable, or a product of a constant and one or more variables |
| polynomial | a monomial or a sum of monomials |
| degree of a monomial | the sum of the degree of the variables |
| similar (or like) monomials | monomials that differ only in thier coefficients |
| degree of a polynomial | the greatest of the degrees of its terms after it has been simplified |
| function | a relation in which different ordered pairs have different FIRST coordinates |
| relation | any set of ordered pairs |
| coordinate | the ordered pair of real numbers associated with each point in the xy- coordinate plane |
| prime number | an interger other then 1 whose only positive interger factor are itself and 1 |
| prime factorization | expressing a positive integer as a product of primes |
| GCF | the common factor that has the greatest degree and greatest numerical coefficient |
| LCM | the common multiple having the least degree adn the least positive numerical coefficient |
| zero-product property | ab=0 if and only if a=0 or b=0 |
| real numbers | the set consisting of all the rational and irrational numbers |
| opposites | on a number line, numbers that are the same distance from zero but on opposite sides |
| adsolute value of a number | on a number line, the distance between the graph of a number an zero |
| commutative property | the property demonstrated in the following: (4+5)+6=(5+4)+6 |
| associative property | the property demonstrated in the following: (4 3) 5= 4 (3 5) |
| distributive property | the property demonstrated in the following simplification: 4(x-2)=4x-8 |
| conjunction | a sentence formed by joining two sentences with the word AND |
| disjunction | a sentenced formed by joining two sentences with the word OR |
| origin | the graph of zero on a number line |
| variable | a symbol, usually a letter, used to represent one or more numbers |
| power | a product of equal factors. the repeated facotr is the base |
| similar (or like) terms | terms with the same variables and exponents |
| extraneous root | a root of a transformed equation that is not a root of teh original equation |
| rational equation | for example, x+1/x²-4 =¼ |
| radical equation | for example, √x +1=5 |
| like radicals | radicals with the same index and radicand |
| complex fraction | for example, 2⁻¹ +2⁻2 / 2⁻¹- 2 |
| irrational numbers | a number that when written in decimal form, is infinite and nonrepeating |
| rational number | a number that can be written as a fraction with an interger in the numerator and a nonzero interger in the denominator |
| complex number | for example, 3-2i |
| pure imaginary number | for example, 5i |
| zero | also know as a root or solution |
| quadratic equation | an equation that can be written in the form ax²+bx+c=0 (a≠0) |
| discriminant | b²-4ac |
| parabola | the graph of an equation of y-k=a(x-h) |
| vertex | the point where a parabola crosses it axis of symmetry |
| divedend | a quantity to be division, it is the number or expression under the division symbol |
| divisor | the quantity by which another quantity is divided. in division it is the number or expression outsde the division symbol |
| quotient | the result you get from dividing |
| vertical line test | a method to determine if a graph is a function or not |
| algebraic expression | An expression that contains at least one variable |
| real numbers | the set of numbers that includes rational and irrational numbers. |
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