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1. simplfy the expression inside grouping symbols, such as parenthese, brackets and fraction bars.
2. Evaluate all powers.
3. Do all multiplication and division.
4. Do all addition and subtraction. |
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contain at least one variable.
evaluate by replacing variable with a value and apply order of op. |
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| mathematical sentance that expresses the relationship between quantities. |
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Can be expressed as a ratio without 0s.
Decimal form is terminating or repeating.
0 is a rational # |
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| not rational, numbers in radicals, pi |
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| a table that shows datat using a number line[image] |
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| Stem - greatest comon place value
leaf - digits of each value
[image] |
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| measure of centeral tendency |
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the middle value
if there are 2 middle values
find the mean of the 2 |
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most frequent value
can have multiple
can have have none |
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| value that will change the mode but not the median or the mode |
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| sentances with replacable variables |
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| represent verbal math sentances |
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| a = b a can be replaced by b |
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| number of units from 0 on a number line |
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| (a + b) + c = a + (b + c) |
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If the operation is addition then the identity is the number 0 because for any number a,
a + 0 = a.
If the operation is multiplication then the identity is the number 1 because for each number a,
a 1 = a |
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| The additive inverse of any number x is the number that gives zero when added to x. The additive inverse of 5 is -5. |
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| The reciprocal of a number. |
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| A positive or negative whole number or zero. |
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a radical b + c radical d
and
a radical b - c radical d
a b c and d are rational numbers |
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| x coordinates, from a list of ordeder pairs |
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| Y coordinates, list of ordered pairs |
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Each x value has only one y value
Passes the vertical line test |
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set of individual points
no vertical lines can be made |
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| check to see if any 2 ponts cross appear on the same vertcile like if they do the function is not discrete |
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slope = 0 and makes a horizontal line
the x axis is 0 |
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| Greatest integer function (Step function) |
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| has an intersection of lines |
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has an intersection of lines
one solution (intersection) |
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has an intersection of lines
has infinite solutions(same line)
same slope and infinite y intercept |
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has no intersection(parallel lines)
same slope |
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rise over run
y1-y2 over x1-x2 |
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| [image]
page 142 in textbook |
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| systems of equations and inequalities |
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x-2y = -2
x+y = -1
x-2y > -2
x+y < -1 |
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| Monomial, binomial, trinomial |
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| the highest degreed monomial |
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| rewrite an expression without parenthesis or negative expontents |
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| mononimals that do not have variables |
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| numerical factor of a monominal |
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| differe by coeffient only |
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| differe by coeffient only |
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| only factors are 1 and self |
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abde + abce + abe + abcde
GCF = abe
abe ( d + c + cd ) |
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| a squared - b squared = (a+b) (a-b) |
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| a cubed + b cubed = (a+b) (a squared - ab + b squared) |
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| a cubed + b cubed = (a+b) (a squared + ab + b squared) |
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