Studied by 124 people

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Hint

1

quadratic formula

[-b ± √(b² - 4ac)] / (2a)

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2

slope formula

(y₂- y₁) / (x₂- x₁)

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3

integers

..., -3, -2, -1, 0, 1, 2, 3, ...

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4

rationals

fractions (anything expessable as a ratio of integers)

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5

reals

integers, rationals, plus special #s (like √2 or pi)

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6

order of opperations

PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract)

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7

Arithmetic Sequences

t₁, t₁+ d, t₁+2d, ...

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8

Geometric Sequences

t₁, t₁· r, t₁· r², ...

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9

percentages

part = (percent / 100) x whole

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10

average

average = sum of terms / number of terms

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11

average speed

average speed = total distance / total time

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12

sum

sum = average x (number of terms)

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13

mode

mode = value in the list that appears most often

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14

median

median = middle value in the list

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15

probability

probability = number of desired outcomes / number of total outcomes

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16

adding exponents

x^a · x^b = x^(a+b)

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17

subtracting exponents

x^a / x^b = x^(a-b)

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18

negative exponents

1 / x^b = x^(-b)

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19

multiplying exponents

(x^a)^b = x^(a·b)

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20

x^0

1

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21

roots

√(xy) = √x · √y

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22

FOIL

(x+a)(x+b) = x^2 + (b+a)x + ab

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23

difference of squares

a^2 -b^2 = (a+b)(a-b)

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24

a^2 + 2ab + b^2

(a+b)^2

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25

a^2 - 2ab + b^2

(a-b)(a-b)

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26

distance formula

√[(x₂- x₁)^2 + (y₂- y₁)^2)]

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27

mid-point formula

[(x₁+ x₂)/2 , (y₁+ y₂)/2]

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28

intersecting lines

opposite angles are equal (each pair of angles along the same line add to 180 degrees)

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29

area of triangle

area = (1/2)bh

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30

angles of triangle

add up to 180 degrees

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31

length of triangle sides

length of 1 side is always less than the sum of the other 2

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32

equilateral

three equal sides, all angles = 60 degrees

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33

isosceles

2 equal sides, 2 equal angles

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34

similar

same shape, corresponding angles are equal, corresponding sides are in proportion

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35

circle area

pi · r^2

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36

circle circumference

2 · pi · r

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37

full circle

= 360 degrees

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38

length of arc

(n degrees / 360 degrees) · 2 · pi · r

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39

area of sector

(n degree / 360 degrees) · pi · r^2 (fraction of circle’s area)

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40

rectangle area

area = lw

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41

parallelogram area

area = lh

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42

rectangular solid volume

volume = lwh

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43

right cylinder volume

volume = pi · r^2 · h

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44

prime factors

2, 3, 5, 7, 11, ...

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45

Greatest Common Factor

ex. GCF of 200 and 60 is 20

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46

Least Common Multiple

ex. LCM of 200 and 60 is 600

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47

trapezoid area

area = [(base1 + base2) / 2] · h

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48

Slope intercept form

y=mx+b

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49

Point-Slope form

y - y₁= m(x - x₁)

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50

standard form

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

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51

Dividing by a negative number in an inequality

You must flip the sign

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52

Graphing < or > on a coordinate plane

dotted line

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53

Graphing ≥ or ≤ on a coordinate plane

solid line

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54

Graphing ≥ or > on a coordinate plane

shade upwards or to the right

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55

Graphing ≤ or < on a coordinate plane

shade downwards or to the left

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56

circle perimeter

2 pi r

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57

Chord

The distance from one point on the circle to another point on the circle.

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58

Sector

The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

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59

arc

Part of a circle connecting two points on the circle.

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60

Central Angle

An angle whose vertex is the center of the circle

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61

Percent Change

old(1 +/- %) = new

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62

<

less than

fewer than

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63

greater than

exceeds

more than

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64

≤

at most

less than or equal to

no more than

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65

≥

greater than or equal to

no less than

at least

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66

Exponential growth

y = a(1 +/- r)^t

a = initial value

r = growth rate

t = time

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67

Vertex Form

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

(h,k) = A vertex

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68

Distance =

rt

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69

Sine and Cosine

sin(x) = cos(90-x)

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70

Sum of solutions

-b/a

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71

The discriminant

b^2 - 4ac

-3 < 0 = NO SOL

0 = 0 = 1 REAL SOL

7 > 0 = 2 REAL SOL

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72

Area of equilateral triangle

s^2√3/4

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73

Sum of angles in polygon

(n-2)180

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74

Circle Equation

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

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75

Weighted average

sum of terms/number of terms

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76

Part

Percent x whole

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77

Odd num + even num =

Odd num

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78

Percent Increase

100 + (asked percent increase)/100 x whole number

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79

Interior Angles

180 (n - 2)

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80

30-60-90 Triangle

Short Leg: x

Second Leg: x√3

Hypotenuse: 2x

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81

45-45-90 Triangle

Short Leg: x

Second Leg: x

Hypotenuse: x√5

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82

3-4-5 Triangle

Short Leg: 3x

Second Leg: 4x

Hypotenuse: 5x

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