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SAT & subject tests > notes for math > Flashcards

notes for math Flashcards

1
Q

|x|=a, then x=

A

a or -a

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2
Q

|x|<a></a>

A

-a

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3
Q

|x|>a, then

A

x>a or x

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4
Q

when a linear inequality is expressed in slope intercept form and the inequality is < or <= then the region is… th opposite is true

A

below the line

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5
Q

a number or expression under a radical is referred to as a

A

radicand

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6
Q

if the denominator is a binomial, use the … of the denominator to rationalize

A

conjugate

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7
Q

the exterior angle of a triangle will be equal to the

A

sum of the other two (non-adjacent) angles of the triangle

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8
Q

the perpendicular bisector of a chord passes through the

A

center of a circle

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9
Q

congruent chords have congruent .. and vice versa

A

arcs

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10
Q

arcs between parallel chords are

A

congruent

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11
Q

arc length in radians:

A

s=theta*r

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12
Q

arc length in degrees

A

s= theta/180 pir

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13
Q

area of a sector in radians

A

A=1/2rs

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14
Q

area of a sector in degrees

A

A=theta/360 pir^2

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15
Q

sinx= (in terms of cos)

A

cos(90° -x)

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16
Q

cosx= (in terms of sin)

A

sin(90°-x)

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17
Q

number of elements in a group=

A

total number of elements x proportion of elements in a group

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18
Q

confidence intervals describe the …. of the sampling method in terms of an interval

A

accuracy

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19
Q

the smaller the confidence interval at a given confidence level, the more

A

accurate the sampling method

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20
Q

confidence interval=

A

sample statistic +- margin of error

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21
Q

margins of error reflect the confidence level: the higher the confidence level, the

A

smaller the margin of error

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22
Q

the greater the standard deviation, the greater the

A

margin of error

23
Q

if event a and b are mutually exclussive (the fulfillment of one event excludes the possibility of the other), then the probability is

A

P(A or B)= P(A) + P(B)

24
Q

for any two independent events a and b, the prob is

A

P(A and B)= P(A) * P(B)

25
Q

dependent event prob

A

P(A and B)= P(A) * P(B|A)

26
Q

amount of work completed=

A

rate of work * time word

27
Q

worker A completes … of the ob per hour and worker B completes …. of the job per hour; total time to complete =

A

1/x; 1/y; 1/ (1/x + 1/y)

28
Q

percent change=

A

amount of change/original amount * 100%

29
Q

concentration of A=

A

amount of substance A/ amount of substance B

30
Q

to get the decimal/percent of a multiple of 1/10, 1/5, 1/4, 1/3, 1/2, or 3/4, take the fraction with the corresponding denominator, convert to a decimal, and

A

multiply by the numerator of the desired fraction get its decimal equivalent

31
Q

area of a parallelogram:

A

A=bh

32
Q

if you have two racios, a:b and b:c, you can derive a:c by finding a

A

common multiple of the b terms

33
Q

linear model: y=

A

kx +x0

34
Q

exponential equation:

A

y= a(1 + r)^x

35
Q

when you have a group of evenly spaced terms, the mean and median will be

A

identical

36
Q

you can find the mean of a group of evenly spaced terms by taking the

A

mean of the highest and lowest terms

37
Q

… total cards in a deck

A

52

38
Q

(ab)^c =

A

a^c * b^c

39
Q

alternate interior angles and alternate exterior angles are

A

equal

40
Q

ratio of 45-45-90 is

A

x:x:xroot2

41
Q

ratio of 30-60-90 is

A

x: xroot3: 2x

42
Q

right square pyramid volume

A

1/3 * l * w * h

43
Q

right cone volume

A

1/3 (pir^2)h

44
Q

sphere volume

A

4/3 * pi * r^3

45
Q

i^2

A

-1

46
Q

i^3

A

-i

47
Q

i^4

A

1

48
Q

sin^2x + cos^2x=

A

1

49
Q

pythagorean triplets:

A

7-24-25; 5-12-13; 3-4-5

50
Q

correlations do not prove

A

causation

51
Q

questions about breaking even involve

A

systems of equations

52
Q

when comparing two data sets for consistency, consider both the

A

data center (mean/median)P and the spread(standard deviation/range)

53
Q

the inverse of raising a quantity to the 5/2 power is raising t to the

A

2/5 power

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