| Term | Definition |
|---|
| x | x |
| x | x |
| Extraneous solution | An solution of an equation derived from an orginal equation but is not a solution of the original equation |
| Pascal's Triangle | a triangular array of numbers whoose nth row contains the binomial expansion of (a+b)to the exponitial value of (n-1) |
| Binomial | a mathematical expression made up of two terms linked by a plus or minus sign |
| Function | a relation in which each element of the domain is paired with exactly one element of the range range |
| Radical | a mathematical root of another number or quantity |
| Matrix | a rectangular array of numbers written in brackets. A matrix with m horizontal rows and n vertical coloms is an m by n matrix |
| Radical Expression | expressions that contain radicals |
| Binomial Therom | (a+b) to the nth= (nCoa)to the nth + (nC1a)to the (nth -1b1)power+...+nCn-1A1Bto the (nth- 1)= nCnb to the nth |
| Radicand | the number under a radical sign |
| index | a number or variable given as a superscript before a square-root sign showing which root is to be taken |
| translation | a transformation that slides a graph or figure horizontialy, vertically,or boh with out lossing the size or shape of the graph or figure |
| Composite | a combination of two functions such that the output from the first function becomes the input of the second function |
| Prarabla | a graph of a quadratic function. |
| reflection | a symmetrical transformation in which a figure is reversed along an axis so that the new figure produced is a mirror image of the original one |
| rationalise the denominator | rewrite the equation so that their is no radical in the denomonator |
| Quadratic formula | a quadractic equation written in standard form ax squared+ bx +c and a doesn't equal zero |
| root | the input value for which a function is zero / a value that makes the equation true |
| Polynomial | describes a mathematical expression that has more than two terms, |
| Exponent | a number or variable placed to the upper right of a number or mathematical expression that indicates the number of times the number or expression is to be multiplied by itself, as in 23, which equals 8 |
| Linear | about or in the first degree relative to a mathematical variable |
| Expression | mathematical representation: a combination of constants, operators, and variables representing numbers or quantities |
| Laws of exponents | aO=1 , aM(aN)= a( m+n) ,(ab)to the nth power=aNbN, (aM)N=a(MN), a-N=1/ato the Nth, (a/b)to the nth= a to the nth/ b to the nth |
| Variable | not having a fixed numerical value |
| Factorial | the number resulting from multiplying a whole number by every whole number between itself and 1 inclusive. |
| Combination | an arrangement of the numbers or symbols in a mathematical set into smaller subsets without regard to the order in which those numbers or symbols appear |
| Permutation | an ordered arrangement of elements from a set |
| Difference of squares | A differnec of two squares is an expression of the form A squared - B squared. This cab be factored to (a-b)(a+b) |
| Difference of cubes | A difference of cubes is an expression of the form A cubed minus B cubed. |
| Sum of cubes | The sum of cubes is a expresion of the form a cubed plus b cubed |
| What is smaller...-3 or -2.8 | -3 |
| How do you solve a radical? | Use a factor tree |
| How do you turn 9/5 into a decimal? | Divide 9 by 5 (9 goes "in the house") |
| a x 0 = 0 | multiplicative property of zero |
| a + 7 = 7 + a | commutative property |
| a x 1 = a | identity property of multiplication |
| a + (b + c) = (a +b) + c | associative property |
| a + 0 = a | identity property of addition |
| a(b + 7) = ab + 7a | distributive property |
| If a=b and b=c, then a=c | transitive property |
| a + (-a) = 0 | Inverse property |
| a=a | reflexive property |
| If a=b, then b=a | symmetric property |
Combine with other sets
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