| A | B |
|---|
| rules for order of operations | 1)calculate of powers in order, left to right 2)next do multiplications or divisions in order, from l to r. 3)do additions or substraction in order, from l to r |
| a + 5 or 5 + a | a number plus five, the sum of a number and 5, number increased by five, five more than anumber, add five to a numer |
| h - 8 | a number minus eight, subtract 8 roma number, 8 less than a number, a number less 8, a number dereased by 8 |
| 8 - n | eight nimus a number, subtract a number from 8, 8 lesss a number, 8 decreased by number |
| 2 · m or m· 2 | two times anumber, the product of two and a number |
| 6/u | six divided by a number, a number divided into six |
| u/6 | a number divided by six, six divided into a number |
| in the expressions 20 + 5 · 13 cents... | we say that 13 days is the value of the variable n. |
| the result of the expressions 20 + 5 · 13 cents is.. | 85 cents which is called the value of the expression |
| order of operation parentheses rule | work inside parentheses before doing anything else |
| parentheses are the most common... | grouping symbols |
| brackets {}... | are grouping symbols sometimes used when there are nested parentheses |
| the sentence A = lw... | is a formula for the area of a rectangle in terms of its length and width |
| probability for equally likely outcomes | suppose a situation has N equally likely possible outcomes and an event includes E of hese. Let P be the probability that the event will occur ,then P = E/N |
| an open sentence... | is a sentence containing one or more variables (x + 7 = 50) |
| a solution to an open sentence... | is a value of a variable that makes the sentence true |
| < | is less than |
| > | is greater than |
| * | is not equal to |
| * | is less than or equal to |
| * | is greater than or equal to |
| addends | numbers to be added |
| putting-together model for addition | suppose count or measure x is put together with a count or measure y with the same units.If there is no overlap, then the result has count or measure x + y |
| additive identity property of zero | for any number n, n + 0 = n |
| adding 0 to a number keeps the identity of that number | 0 is called the additive identity |
| opposite of opposities (op-op) property | for any number n, -(-n) = n |
| the word inverse... | means opposite |
| Property of opposities.. | for any number n, n + -n = 0 |
| to add to negative numbers... | add their absolute values and then take the opposites |
| fundamental property of terms | if a terms of magnitude x is followed by a term of magnitude y, the result is a turn of magnitude x + y |
| adding fractions property | for all numbers a, b, and c, with c * 0, a/c + b/c = a+b/c |
| probability of A or B | if A and B are mutually exclusive events, the probablity of the event of A or B, the probablity of A plus the probablity of B. |
| probablities of complements | the sum of the probablities of any event E and its complement, not E is 1 |
| commutative property of addition | for any numbers a and b, a + b = b+ a |
| associative property of addition | for any numbers a, b, and c, (a+b)+c =a+(b+c) |
| addition property of equality | if a=b, then a+ c = b +c |
| to solve an equation of the form x +y = b.. | add -a to both sides and simplify |
| the perimeter of a polygon... | is the sum of the lengths of the sides of the polygon |
| take-away model of substraction | if a quanitity y is taken away from an original quantity x with the same units, the quantity left is x-y |
| comparision model of substraction | x-y is how much more x is than y |
| side model for substraction | if a quantity x is decresed by an amount y, the resulting quantity is x minus y |
| algebraic definition of substraction (Add-Op property) | for any number x and y, x-y = x+y. In words, substracting y is the same as adding the opposite of y. |
| change is equal to... | later value minus earlier value |
| putting -together with overlap model | if a quantity x is put together with a quantity y, and there is an overlap z, the result is the quantity x+y-z |
| two angles are vertical angles... | when their sides are opposite rays |
| supplementary angles | angles whose measures add to 180° |
| two different lines in a plane are parrerel... | is they have no points in common |
| the line that is not paralael to the others.. | is called a transversal |
| properties of parallelograms | in a parallelogram, opposite sides have the same length; opposite angles have the same measure |
| triangle-sum property | in any triangle, the sum of the measures of the angles is 180° |
