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ACT > Math > Flashcards

Math Flashcards

1
Q

The average set of numbers.

A

Mean

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2
Q

The middle number in a set of data

A

Median

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3
Q

The number that occurs most often

A

Mode

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4
Q

The difference between the smallest data value and the largest

A

range

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5
Q

Have exactly 2 factors: 1 and itself

A

prime numbers

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6
Q

Have more than 2 factors

A

composite numbers

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7
Q

can be written as a ratio of 2 integers where the denominator is not 0
REPEATING decimals
0.68, 5, 1.5, 20, 0.686868, 0.123123123

A

rational

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8
Q

Cannot be written as a ratio of 2 integers
square root of 2, pie, square root of 5
NON-REPEATING decimals

A

irrational

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9
Q

Includes 1,2,3,4

A

Natural

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10
Q

Includes 0, 1, 2, 3

A

Whole numbers

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11
Q

x^m/n = n (square root (x))^m

A

nice

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12
Q

slope-intercept form

A

y=mx+b

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13
Q

Standard form

A

ax+by=c

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14
Q

The cost of a ticket and dinner is

A

t+d=

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15
Q

Pat ate 5 candies for every 2 that Marvin ate

A

p/m=5/2

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16
Q

the difference between Sara’s salary and pat’s salary is $100

A

Is-pI=100

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17
Q

Peter is 4 years older than Lauren

A

p=L+4

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18
Q

The discount is 25% off price p

A

d=.25p

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19
Q

What percent is

A

x/100

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20
Q

3 consecutive integers

A

x, x+1, x+2

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21
Q

3 consecutive even integers

A

even x, x+2, x+4

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22
Q

3 consecutive odd integers

A

odd x, x+2, x+4

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23
Q

Review Matrices

A
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24
Q

log25 5=

A

logb a=x
b^x=a
1/2

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25
Q

Corresponding angles are __________. which means
must use with

A

congruent the same
parallel lines

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26
Q

Alternate angles are ________. which means
must use with

A

congruent are the same
parallel lines

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27
Q

Interior angles on the same side of a transversal are________. which means____.
must use with

A

supplementary add up to 180
parallel lines

28
Q

Vertical angles are formed when two lines intersect. Vertical Angles are ________. which means
must use with

A

congruent=same
parallel lines

29
Q

Review Plane and solid geometry

A
30
Q

Area of a circle

A

pie r^2

31
Q

Circumference of a cirlce

A

2 pie r or pie d

32
Q

Draw a equilateral triangle

A

equal sides

33
Q

draw a isosceles triangle

A

two sides equal two angles equal

34
Q

Draw a scalene triangle

A

none equal

35
Q

Draw a right triangle

A

right angle

36
Q

Pythagorean theorem

A

a^2 + b^2 = c^2

37
Q

45-45-90

A

a=b
c=a square root 2

38
Q

30-60-90

A

b=a square root 3
c=2a

39
Q

Surface area of a cylinder

A

2 pie r^2 + 2 pie r h

40
Q

Distance formula

A

square root (x2-x1)^2 + (y2-y1)^2

41
Q

Midpoint formula

A

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

42
Q

Slope formula

A

change in y/change in x
(y2-y1) / (x2-x1)

43
Q

Point slope form
slope=4
point= (1,3)

A

y-y1=m(x-x1)
y-3=4(x-1)

44
Q

parallel lines have the _______ slope

A

same
y=2/3x-2
y=2/3x+4

45
Q

Perpendicular lines have the _____ ________ slope

A

negative reciprocal
y=3x-4
y= -1/3x+2

46
Q

Find the radius and center of the circle from this equation
(x+2)^2 + (y-3)^2 = 49

A

(x-h)^2 + (y-k)^2 =r^2
(-2, 3) r=7

47
Q

Sine

A

o/h

48
Q

Cosine

A

a/h

49
Q

Tangent

A

o/a

50
Q

cosecant

A

1/sin
or h/o

51
Q

secant

A

1/cosine
or h/a

52
Q

cotangent

A

1/tangent
a/o

53
Q

y=A sin (f(x-h)) + B

A

A=amplitude
f=frequency
B= midpoint
h=horizontal shift

54
Q

For ax^2+bx +c=0 whats the quadratic formula?

A

x=(-b+- sqaure root (b^2-4ac))/2a

55
Q

Distance =

A

rate times time

56
Q

percent change formula

A

(new-old)/old x 100

57
Q

Arc length formula

A

angle/360 x 2pie r
or AL=r x angleSe

58
Q

Sector area formula

A

angle/360 x pie r^2
or 1/2 r^2 angle

59
Q

Area of parallelogram

A

bh

60
Q

Area of trapezoid

A

1/2(b1+b2)h

61
Q

Area of triangle

A

1/2 bh

62
Q

area of a cube

A

6s^2

63
Q

volume of cube

A

s^3

64
Q

volume of rectangular prism

A

lwh

65
Q

volume of culinder

A

pie r^2 h

66
Q

volume of sphere

A

4/3 pie r^3

67
Q
A

ACT (2 decks)

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