Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

SAT > math basics > Flashcards

math basics Flashcards

You may prefer our related Brainscape-certified flashcards:
SAT® Prep flashcards
1
Q

(a+b)^2

A

a^2+2ab+b^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

(a-b)^2

A

a^2-2ab+b^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

a^2-b^2

A

(a+b)(a-b)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

can you add terms b^2+b?

A

no lol

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

(a) / (b/c)

A

(ac) / (b)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

(a/b) / (c)

A

(a) / (bc)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

is it possible to split up the numerator or denominators of fractions?

A

numerators

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

exponential growth equation

A

y=ab^t

y= final quantity
a= initial quantity
b= growth factor
t= time

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

exponential growth graph

A

gradual and then rapidly increasing curve (left to right)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

exponential decay graph

A

rapidly decreasing curve that slows down near the end (left to right should I kmrs google

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

exponential decay equation

A

y=ab^t

*same as the exponential growth equation but b= less than one

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

exponential growth/decay equation with periods of growth

A

y=ab^t/k

where K is the amount of time required for y to increase by one factor of b. K and b must be the same unit (e.g years)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

linear growth

A

linear line with a positive slope

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

linear decay

A

linear line with a negative slope

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

negative association

A

as one thing increases, the other decreases

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

positive association

A

as one thing increases, the other also increases

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

x^1

A

x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

x^0

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

x^-m

A

1/x^m

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

how do you simplify √2x

A

(√2x)^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

if g(x)=ax+24
what does g(4)=8 mean?

A

when x is 4, the entire expression equals 8

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

slope

A

change in y/change in x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

mean

A

sum of values/number of values

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

median

A

middle value when the data set is ordered least to greatest

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

mode

A

most common value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

range

A

max value-minimum value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

standard deviation

A

measures the typical spread from the mean.

larger standard deviation=more spread out from the mean
smaller standard deviation=less spread out from the mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

what is the effect of outliers on range/standard deviation?

A

larger range or standard deviation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

what is the effect of outliers on mean?

A

very large outlier=greater mean
very small outlier=smaller mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

what is the effect of outliers on median?

A

a very large outlier will increase the median or have no effect, a very small outlier will decrease the median or have no effect

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

polynomial long division formula

A

quotient+remainder/divisor

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

quadratic formula

A

x=(-b±√(b²-4ac))/(2a)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

what part of the quadratic formula is the discriminant?

A

b²-4ac

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

if the discriminant is greater than 0, how many solutions?

A

two

35
Q

if the discriminant = 0, how many solutions?

A

one

36
Q

if the discriminant is less than zero, how many solutions?

A

no real solutions

37
Q

circle equation

A

(x-h)^2+(y-k)^2=r^2

(h, k) is the center
r is the radius

38
Q

complete the square

A

(b/2)^2

39
Q

midpoint formula

A

(x1-x2/2) , (y1-y2/2)

40
Q

ultimate circle proportion (degrees)

A

central angle/360=arc length/circumference=sector area/circle area

41
Q

ultimate circle proportion (radians)

A

central angle/2𝝅=arc length/circumference=sector area/circle area

42
Q

what does an angle’s point of intersection with the unit circle tell you?

A

cos(θ)= x coordinate of intersection
sin(θ)= y coordinate of intersection

43
Q

how do you find tangent with cos and sin?

A

tan(θ)=sin(θ)/cos(θ)

44
Q

when do you flip an inequality sign?

A

when you divide by a negative

45
Q

if a linear equation comes down to x=a

A

one solution

46
Q

if a linear equation comes down to a=b

A

no solution

47
Q

if a of a parabola is larger…

A

the parabola is longer and more narrow

48
Q

if a of a parabola is smaller…

A

the parabola is shallow and wide

49
Q

complete the square

A

(b/2)^2

50
Q

vertex form

A

A parabola with the equation y=a(x-h)^2+k
has its vertex located at (h,k)

.

51
Q

if y=x^2 becomes y=(x-a)^2…

A

there was a transformation of a units to the right

52
Q

if y=x^2 becomes y=(x+a)^2…

A

there was a transformation of a units to the left

53
Q

if y=x^2 becomes y=x^2-a

A

there was a transformation of a units down

54
Q

if y=x^2 becomes y=x^2+a

A

there was a transformation of a units up

55
Q

basic exponential growth/decay equation

A

f(x)=b^x

56
Q

shifting the horizontal asymptote in an exponential equation

A

introducing a constant to the exponential equation changes the horizontal asymptote.

If f(x)=b^x+d, the horizontal asymptote approaches d

57
Q

shifting the y-intercept in an exponential equation

A

if f(x)=a ⋅ b^x+d, the y-intercept is a+b

if f(x)=a ⋅ b^x, the y intercept is a ⋅ 1

If f(x)=b^x+d, the y intercept is d+1

58
Q

circumference

A

C=2πr

59
Q

most common Pythagorean triple

A

3-4-5 and all multiples

…less common are 5-12-13 and 7-24-25

60
Q

the sin(θ) is equal to…

A

the cos(90-θ), or the cos of θ’s complementary angle

61
Q

height of an equilateral triangle

A

h = (√3/2)a, where a is the side of the equilateral triangle.

62
Q

triangle similaritty

A

AA, SSS, SAS

63
Q

work rate where two individuals work at different rates

A

w=rt

w is the amount of work done
r is the overall rate
t is the time spent

64
Q

product of roots in a quadratic

A

c/a

65
Q

percent change

A

final-initial/initial x 100

66
Q

cos(0)

A

1

67
Q

sin(0)

A

0

68
Q

tan(0)

A

0

69
Q

cos(90)

A

0

70
Q

sin(90)

A

1

71
Q

tan(90)

A

undefined

72
Q

what is 90 degress in radians?

A

π/2

73
Q

arc length with a degree angle measure

A

θ/360 x 2πr

74
Q

arc length with a radian angle measure

A

θr

75
Q

area of a sector with a degree angle measure

A

θ/360 x πr^2

76
Q

area of a sector with radians

A

(0.5)(r^2)(θ)

77
Q

how does the measure of a central angle relate to the arc measure?

A

central angle=arc measure

78
Q

how does the measure of an inscribed angle relate to the arc measure?

A

inscribed angles are half of their arc measure

79
Q

angles inscribed in a semicircle are always…

A

90 degrees

80
Q

radius and tangent line of a circle

A

a line tangent to a circle is perpendicular to any radius drawn to it

81
Q

ASTC (all students take calculus)

A

A- all trig functions are positive in the first quadrant
S- sin is positive in the second quadrant
T- tan is positive in the third quadrant
C- cos is positive in the fourth quadrant

82
Q

estimating using sample proportion

A

estimate= sample proportion x population

83
Q

two ways to decrease margin of error

A
  1. have a large sample size
  2. have less variability in your data

SAT (4 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions