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31 Cards in this Set
- Front
- Back
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Natural (counting) numbers
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1,2,3,4...
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Whole Numbers
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0,1,2,3,4...
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Integers
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-2,-1,0,1,2...
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Rational Numbers
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Any number that can be written as a fraction
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Irrational Numbers
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cannot be written as a fraction: in decimal form the number does not terminate or repeat
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Real Numbers
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the union of rational and irrational numbers
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Define absolute value:
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Measures distance from 0
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lxl=3
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x=3
x=-3 |
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lx-3l=4
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x=-1
x=-4 |
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When there are operations outside of the absolute value function you must
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isolate the absolute value function
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When working with the opposite/ negative case
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change all terms to one side
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If the solution does not check and you have done the math correctly it is
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extraneous
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If an isolated absolute value expression is equal to a negative number ...
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there is no solution
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a ratio that represents the steepness and direction of a line is a...
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slope
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Slope formula:
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m= y2-y1 over x2-x1 (rise over run)
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lines that have the same slope and different intercepts are:
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parrallel
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when a set of data points is graphed as ordered pairs in a coordinate plane, the graph is called a
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scatter plot
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What coordinates do you use when writing the increasing/ decreasing
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always use X coordinates...# is less than x is less than infinity
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All the input values (X) that give real answers
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Domain
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All the output values at the (Y) that you get for answers
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range
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You will shade a section of the graph when graphing a
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linear inequality or an absolute value inequality
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when multiplying binomials use
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FOIL
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when both factors work out to be the same, the original pattern is called a
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perfect square trinomial
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When factoring cubes use
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SOAP
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x squared +1 is always
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prime
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definition of the imaginary number is
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i= square root of -1
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When dividing complex numbers multiply by the
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conjugate then simplify is possible
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when writing rational exponents...
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the numerator is on top and is equivalent to the exponent
the denominator is on the bottom and is equivalent to the root |
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to add or subtract a radical expression...
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the root and the radicand must be the same
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in order to multiply a radical expression...
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multiply the numbers in front of the radical then multiply the numbers inside the radical, simplify the radicand if possible. the root does not change
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to divide a radicand there cannot be a root in the denominator of a fraction. so you must
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rationalize the denominator (multiply top and bottom by denominator...when multiplying to of the same radicands together it turns into just that number without the square root)
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