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Flashcards in ACT Deck (37)
0

D = ? (Not distance formula)

D = rt

Distance = rate x time

1

Distance formula

D = √(X2 - X1)^2 + (Y2 - Y1)^2

2

Cube roots

What same number multiplies three times to get x.

Ex. ^3√64 = 4 because 4 x 4 x 4 = 64

3

Volume of a rectangular prism and cylinder

V = Bh

*B = area of base

Or V = lwh

4

Equation of a circle

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

(h,k) = center of circle

X and Y = constant (always x and y)

5

When is a function undefined?

When x=0

6

How can you tell from the slope intercept form that the lines are parallel or perpendicular?

Parallel = same slope, different y-intercept

Perpendicular = opposite slope

(ex. 1/2 = -1/2)

7

How to convert degrees to radians

Degrees = (3.14 / 180 degrees)


* divide 180 but # of degrees and put it on bottom

8

How to convert radians to degrees

# of radians x (180 degrees / 3.14)

* eliminate pi and then multiply like normal

9

Expected value

Sum of frequency x probability

10

Experimental probability

# of occurrences / # of trials

11

Theoretical probability

# of favorable outcomes / # of outcomes in sample space

12

i =

Imaginary number

i = √-1

13

Solving systems of equations by graphing (6)

1. Solve for y (y=mx+b)
2. Graph
3. Shade and test the point (0,0) by making (x, y) = (0,0)
4. Find the intersection of the two shadings

• = ≤ or ≥ (solid line)
o = < or > (dashed)

14

Where to graph a vertical / horizontal line (4)

Vertical = x-axis
Horizontal = y-axis

Vertical line = undefined slope

Horizontal line = no slope

15

Disjunction

Or

16

Conjunction

And

17

Absolute values with inequalities

Less thAND

GreatOR

18

Angles formed by parallel lines with transversal lines

Corresponding angles = congruent

Alternate interior / exterior angles = congruent

19

To find total sum of interior angles of a polygon

S=180(n-2)

n= # of sides

20

Geometric mean

a/x = x/b

21

Volume of pyramids

V = 1/3Bh
*B = area of base

22

Volume of cone

V= 1/3πr²h

23

Area of a rhombus or kite

A = 1/2d₁d₂

24

Area of a trapezoid

A = 1/2h(b₁ + b₂)

25

Direct / indirect variation

Direct - y=kx

Indirect - y= k/x

26

Surface area of prisms

SA = Ph + 2B

*B = area of base

27

Surface area of cones

SA = πrl + πr²

l = slant height

28

Surface area of a sphere

SA = 4πr²

29

Independent clause

Can stand alone in a sentence - forms a complete thought

Has a subject and verb

30

Dependent clause

Depends on independent clause to exist

Has a subject and verb, but doesn't form a complete thought

31

Semi-colons

Use b/t 2 independent clauses

Use b/t 2 independent clauses + transition, followed by a comma

To separate longer items in a parallel series

32

Collective nouns

Singular and require singular verbs

Ex. group, class, flock, force of cops, etc

33

Commas

When because is after the independent clause = no comma

When because is first in a sentence, follow with a comma

34

Saxophone

Woodwind instrument

35

What else to use to describe "inefficient"

Lax, and indifferent towards

36

Possession

An object cannot be possessive so therefore, it's "ITS", not "it's"