GRE math Flashcards

1
Q

a^2 x a^3

A

a5

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2
Q

a^9 / a^2

A

a^7

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3
Q

(a^2)^4

A

a^8

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4
Q

a^0

A

1

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5
Q

m^-s

A

1/m^s

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6
Q

m^(x/y)

A

(y square root m)^x

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7
Q

n^(1/2)

A

square root n

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8
Q

square root of 2

A

1.4

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9
Q

square root of 3

A

1.7

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10
Q

Division by zero

A

Can’t be done

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11
Q

Prime factorization:

A

210= 2 x 105 = 2 x 3 x 35 = 2 x 3 x 5 x 7

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12
Q

Like radicals can be

A

Added/subtracted

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13
Q

a/b / c/d =

A

a/b x d/c

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14
Q

2/3 reciprocal

A

3/2 > 1 & 2/3

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15
Q

-2/3 reciprocal

A

-3/2 < 1 & -2/3

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16
Q

(1/2)^2

A

1/4 < 1/2

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17
Q

(-1/2)^2

A

1/4 > 1/2

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18
Q

Distance

A

Speed x time

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19
Q

Speed

A

Distance x time

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20
Q

Time

A

Quantity/Rate

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21
Q

When can you average averages?

A

Only if an equal number of terms in each set

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22
Q

A U B

A

Both A & B

23
Q

|A U B|

A

|A| + |B| - |A xUx B|

24
Q

How many ways are possible?

A

Each space must be filled (ie in 1st place 7 options, in 2nd place 6 options)

25
Q

P(A or B)=

A

P(A) + P(B) - P(A + B)

26
Q

Rectangle area

A

LxW

27
Q

Rectangle perimeter

A

2L + 2W

28
Q

Rectangle volume

A

LWH

29
Q

Square area

A

s^2

30
Q

Square perimeter

A

4s

31
Q

Square volume

A

H x S^2

32
Q

Circle area

A

Pi x r^2

33
Q

Circle circumference

A

2 x pi x r

34
Q

Circle volume

A

Pi x r^2 x h

35
Q

Parallelogram area

A

Bh

36
Q

Parallelogram perimeter

A

sum of sides

37
Q

Parallelogram volume

A

BhH

38
Q

Sum of interior angles of a polygon

A

(n-2) x 180 (n = number of sides)

39
Q

Sum of angles on a line

A

180

40
Q

Sum of complimentary angles

A

90

41
Q

Sum of supplementary angles

A

180

42
Q

Sum of angles in a triangle

A

180

43
Q

In crossing parallel lines what angles are equal?

A

Across from each other

44
Q

In isosceles triangle what angles are equal?

A

Adjacent to equal sides

45
Q

30-60-90 rule

A

sides: x, 2x, x root 3

46
Q

45-45-90 rule

A

sides: x, x, x root 2

47
Q

Triangle side rules

A

3-4-5; 5-12-13; 7-24-25; 8-15-17

48
Q

If a & b are angles inside a triangle what is the outside angle across?

A

a+b

49
Q

Area of sector in a circle

A

n/360(pi r^2); n is degree of angle

50
Q

Slope

A

m = (Y2-Y1)/(X2-X1)= rise/run

51
Q

Equation of a line

A

y = mx + b; m= slope, b= y intercept

52
Q

Cylinder volume

A

Pi x r^2 x h

53
Q

Cylinder surface area (lateral)

A

2 x pi x r x h

54
Q

Total surface area

A

(2 x pi x r^2) + (2 x pi x r x h)