1. independent variable: does not need something else because it is isolated {x-variable}
ex. 4x+2 ( independent=2 )
2. dependent variable: needs something else
ex. 4x+2 ( dependent=4 )
3. integers: positive and negative whole numbers and zero
ex. -2, -1 , 0, 1, 2
4. quadratic: an expression with the highest exponential number of 2
ex. 4x²+3x+2
5. radical: principal nth root of the number
ex. n√k
6. square root: 1 of the 2 equal factors whose product is the given number
ex. +/-√k ( is what the square root of k equals )
7. radicand: the number underneath the radical sign
ex. n√k ( is where the k is )
8. perfect square: is when a radical number can be divided by itself
ex. √64
9. rational: can be express a/b form in which a and b are integers and b can not be zero.
ex. 1/3
10. irrational: a decimal number that goes on for ever but never repeats
ex. √41
11. real numbers: any number that exist it can be the smallest or the biggest
ex. 51, 4, 15, 8
12. f.o.i.l: when multiplying two binomials distribute twice
ex. (x+4) (x-2)
13. box method: a strategy use when solving trinomials that are quadratics of which you pull out the greatest common factor of each pair.
ex. x²+18x+81=
________
l_x²_l_9x_l (x+9)(x+9)
l_9x_l_81_l
14. trinomial: an expression or equation with 3 terms
ex.5x²-3x+9
15. standard form: can be solved by breaking down the quadratic equation into 2 linear equations.
ex. ax²+bx+c (a≠0) and ax+b (a≠0)
16. zero product rule: the product of 2 real numbers is 0, then at least 1 of these 2 numbers must be equal to 0.
ex. 8x0=0
17. parabola: the graph of a quadratic equation
ex. U
18. denominator: the number under the bar of a fraction
ex. _a_
? (?= denoominator)
19. rationalize: if the fraction is an expression then you multiply it by the denominator but if the fraction is an equation then you multiply by its conjugate
ex. _4_ (√2) = _4_√2_
√2 (√2) = √4 = 2√2
20. conjugates: the result of writing the sum of 2 terms as a difference or vise-versa of which its the opposite of the equation you started with.
ex. 7x-6 (conjugate would be 7x+6)
21. graphing calculator: an advanced tool use to graph equations in addition to perform the calculated functions of a scientific calculator.
22. natural numbers: known as "counting numbers" are the numbers stamped onto a ruler.
ex. 1, 2, 3
23. whole numbers: combining zero with the counting numbers.
ex. 0, 1 , 2, 3
24. nth root: when n is any counting number ( is 1 of n equal factors whose product is that # )
ex. 3x3x3x3=81, then 3 is the 4th root of 81
25. radicand: the inside number of a radical
ex. n√k ( in this case k )
Tuesday, November 20, 2007
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