ACT

Question 0

Distance formula

Answer 0

D = √(X2 - X1)^2 + (Y2 - Y1)^2

Question 1

D = ? (Not distance formula)

Answer 1

D = rt

Distance = rate x time

Question 2

Cube roots

Answer 2

What same number multiplies three times to get x.

Ex. ^3√64 = 4 because 4 x 4 x 4 = 64

Question 3

Volume of a rectangular prism and cylinder

Answer 3

V = Bh

*B = area of base

Or V = lwh

Question 4

Equation of a circle

Answer 4

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

(h,k) = center of circle

X and Y = constant (always x and y)

Question 5

When is a function undefined?

Answer 5

When x=0

Question 6

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

Answer 6

Parallel = same slope, different y-intercept

Perpendicular = opposite slope

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

Question 7

How to convert degrees to radians

Answer 7

Degrees = (3.14 / 180 degrees)

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

Question 8

How to convert radians to degrees

Answer 8

of radians x (180 degrees / 3.14)

• eliminate pi and then multiply like normal

Question 9

Expected value

Answer 9

Sum of frequency x probability

Question 10

Experimental probability

Answer 10

of occurrences / # of trials

Question 11

Theoretical probability

Answer 11

of favorable outcomes / # of outcomes in sample space

Question 12

i =

Answer 12

Imaginary number

i = √-1

Question 13

Solving systems of equations by graphing (6)

Answer 13

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)

Question 14

Where to graph a vertical / horizontal line (4)

Answer 14

Vertical = x-axis
Horizontal = y-axis 

Vertical line = undefined slope

Horizontal line = no slope

Question 15

Disjunction

Answer 15

Or

Question 16

Conjunction

Answer 16

And

Question 17

Absolute values with inequalities

Answer 17

Less thAND

GreatOR

Question 18

Angles formed by parallel lines with transversal lines

Answer 18

Corresponding angles = congruent

Alternate interior / exterior angles = congruent

Question 19

To find total sum of interior angles of a polygon

Answer 19

S=180(n-2)

n= # of sides

Question 20

Geometric mean

Answer 20

a/x = x/b

Question 21

Volume of pyramids

Answer 21

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

Question 22

Volume of cone

Answer 22

V= 1/3πr²h

Question 23

Area of a rhombus or kite

Answer 23

A = 1/2d₁d₂

Question 24

Area of a trapezoid

Answer 24

A = 1/2h(b₁ + b₂)

Question 25

Direct / indirect variation

Answer 25

Direct - y=kx

Indirect - y= k/x

Question 26

Surface area of prisms

Answer 26

SA = Ph + 2B

*B = area of base

Question 27

Surface area of cones

Answer 27

SA = πrl + πr²

l = slant height

Question 28

Surface area of a sphere

Answer 28

SA = 4πr²

Question 29

Independent clause

Answer 29

Can stand alone in a sentence - forms a complete thought

Has a subject and verb

Question 30

Dependent clause

Answer 30

Depends on independent clause to exist

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

Question 31

Semi-colons

Answer 31

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

Question 32

Collective nouns

Answer 32

Singular and require singular verbs

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

Question 33

Commas

Answer 33

When because is after the independent clause = no comma

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

Question 34

Saxophone

Answer 34

Woodwind instrument

Question 35

What else to use to describe “inefficient”

Answer 35

Lax, and indifferent towards

Question 36

Possession

Answer 36

An object cannot be possessive so therefore, it’s “ITS”, not “it’s”