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GRE Math Fundamentals

Terms

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

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