|variable||symbol that can be replaced by any member of a set of numbers or objects|
|algebraic expression||The result when numbers and variables are combined using the operations of arithmetic.|
|Order of Operations||1. Perform operations in parentheses, brackets.
2. Take powers.
3. Multiply and divide in order from left to right
4. add and subtract in order from left to right.
|What is the dependent variable in the equation P=5H and why?||P because its value depends on the amount for H. (H is independent variable)|
|Function||A correspondence or pairing between 2 variables such that each value of the first (independent) variable corresponds to exactly one value of the second(dependent) variable.|
|Range of a Function||The set of values of the dependent variable that can result from the substitutions for the independent variable.|
|Domain of a function||the set of values which are allowable substitutions for the independent variable|
|How is f(x) read?||"f of x"|
|How is T:x–> x read?||"T maps x onto x." (arrow notation)|
|Theorem (Vertical-Line Test for Functions)||No vertical line intersects the graph of a function in more than one point.|
|How do you "clear" an equation of fractions?||Multiply each side of the equation by a common multiple of the denominator.|
|How do you simplify equation d= rt?||multiply both sides by r. d/r = rt/r. Simplify d/r = t.|
|What is an explicit formula for the nth term of the sequence 1, 3, 6, 10, 15, 21, . . . ?||t(n) = n(n+1)/2|
|What does a recursive formula state?||a. The first term
b. tells how the nth term is related to one or more of the previous terms.
|What are explicit formulas good for that recursive formulas are not?||Explicit formulas help to find an answer for a large integer.|
|What are recursive formulas good for that explicit formulas are not?||Recursive formulas help to find a series of numbers.|