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repeating and terminating decimals a/b with a and b as integers |
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cannot be expressed as fractions a not terminating, non-repeating decimal square root of 3, pi, 3 root 7, e |
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PEMDAS 1. perentheses 2. exponents 3. Multiplication and division in the order of left to right 4. addition and subtraction in order left to right |
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7, 8, root 3, 9/10 stand for same amount all the time never changes |
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| a number which stands for a unspecified number from a given set |
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| a collection of varibles and constants conncected by opperation signs which stands for a number |
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| communtitive multiplication |
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| assocoiative multiplication |
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the degree of a polynomial is the maxium # of variables that appear aas facors in any one term. example: 3x2y4+4z degree-- 6 |
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algebraic expressions that involve only operations of addition, subtraction, and multiplication of variables do not include: -absolute value -division and square roots -stand for real numbers! |
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| monomial, binomial, trinomial |
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1, 2, 3, 4 or more have no specified name |
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- 0 -- constant
- 1-- linear
- 2--quadratic
- 3-- cubic
- 4--quartic
- 5--quintic
- 6 or more--no name
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| when dividing by a negative #, reverse sign > to < or < to > |
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When solving Inequalities such as I x-3 I < 5 |
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Less than is "and" > Greator than is "or" < |
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| Multiplication Property of Zero |
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| if x is real, then x time 0=0 |
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| Converse of Multiplication Property of Zero |
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| Multiplication Property of Negative One |
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| The product of Two negatives is Positive |
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the set of values of the independent variable * where the independent variable lives (x) |
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the set of values of the dependent variable corresponding to all values of the independent variable in the domain * y collumn |
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| a realtion for which there is exactly one value of the dependent variable for each value of the independent variable |
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| Relationship btw Relations and Functions |
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| a fuction is a relation but a relation is not always a function. |
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| a line which a graph gets arbitrarily close to but never touches as the independent or dependent vairiable get very large (in the positive or the negative direction) |
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| Equation of a horizontal Line |
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y=5 (consistant y coordinate) SLOPE = 0 |
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1. Decide what it is that you are looking for, and assign a variable to it 2. list out all of your info 3. Figure out relations between info and variable 4. write the equation 5. Solve the Equation 6. Does your answer make sense???? ADD FORMULAS THAT WOULD HELP YOU |
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inverse : [01 10] identity: [10 01] |
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| using inverse Matrix methods |
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| [A]-1 times Matrix = solution |
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| 1 common solution (have diff slopes) |
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| parrallel - don't ever meet (same slope) |
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rref[matrix]=solution (x,y, maybe z) reduced row row escelon form |
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