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x to the 0
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1
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x to the 1
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x
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0 to the x
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0
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1 to the x
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1
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x to the -2
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1/x2
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how do you multiply two exponents with the same base?
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add the exponents
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how do you divide two exponents with the same base?
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subtract the exponents
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how do you raise one exponent to another?
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multiply the exponents
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what do you get when you raise a negative number to an even exponent?
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a positive number
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what do you get when you raise a negative number to an odd exponent?
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a negative number
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when can you add or subtract roots?
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when the number under the radical is the same
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how do you multiply or divide roots?
|
multiply inside and multiply outside
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rule of divisibilty for 2
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any even number
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rule of divisibility for 3
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sum of the digits is divisible by 3
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|
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rule of divisiblity for 4
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if last two digits are divisible by 4
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|
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rule of divisibility for 5
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ends in 5 or 0
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rule of divisibility for 6
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if its even and the sum is divisible by 3
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rule of divisibility for 8
|
last three digits divisible by 8
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|
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rule of divisibility for 9
|
sum of digits is divisible by 9
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|
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rule of divisibility for 10
|
ends in 0
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When do you reverse the sign of an inequality?
|
When you multiply or divide by a negative number.
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expand(x+y)(x-y)
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x2 - y2
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factor x2 - y2
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(x+y)(x-y)
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expand (x+y)2
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x2 + 2xy + y2
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|
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factor x2 + 2xy + y2
|
(x+y)2
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|
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expand (x-y)2
|
x2 - 2xy + y2
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|
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degrees in a straight line
|
180
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|
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degrees in a parallelogram
|
360
|
|
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degrees in a triangle
|
180
|
|
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degrees in a circle
|
360
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what is fred's theorem?
|
when a line crosses 2 parallel lines, all big angles are equal, all small angles are equal
|
|
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area of a parallelogram
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a=bh
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largest angle of a triangle is...
|
opposite the largest side
|
|
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smallest angle of a triangle is...
|
opposite the smallest side
|
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isosolece triangle has...
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2 equal sides w/ 2 equal angles
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|
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equalateral triangle has...
|
3 equal sides w/ 3 equal angles
|
|
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area of a triangle is...
|
a=1/2bh
|
|
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Third side rule of a triangle is...
|
a-b < c < a+b
|
|
|
diameter of a circle
|
d = 2r
|
|
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cirumfrence of a circle
|
c = 2 pie r
|
|
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area of a circle
|
a = pi r2
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Mean
|
Average
|
|
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Median
|
Middle # or average of two middle #s
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Mode
|
# that appears most frequently in a set
|
|
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Range
|
Difference between highest and lowest number
|
|
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Give the 5 sets of pythagorean triples
|
3,4,5 6,8,10 60,80,100 5,12,13 7,24,25
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|
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What are the side relationships in a 30:60:90 triange?
|
30 - a 60 - a sq.rt. 3 90 - 2a
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|
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What are the side relationships in a right isosolece triangle?
|
a, a, a sq.rt. 2
|
|
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What is the approx value of the square root of 2?
|
1.4
|
|
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What is the approx. value of the square root of 3?
|
1.7
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|