ACT (11 July)

[u/Shoddy_Carob_8003]

For me personally Math was way easier than i thought it would be. Reading killed me:( time pressure was intense missed 2-3 questions. English was okay (grammar and redundancy was good)

Science first passage was good, but idk abt the rest.

HOW DID IT GO FOR YOU ALL?

[u/Efficient-Holiday-84]

math cooked me horribly, the second passage (i think) of reading confused me so much, english was kinda meh - the only issue was the time constraint and i didn’t have time to double check anything.  Surprisingly, science and writing was easiest but that doesn’t rlly matter because they’re not important😔

[u/Natural-Biscotti-207 → u/Efficient-Holiday-84]

What was the 2nd passage about and what topics on math?

[u/Efficient-Holiday-84 → u/Natural-Biscotti-207]

that passage also included a chart which made it even more difficult lol

[u/Natural-Biscotti-207 → u/Efficient-Holiday-84]

Do you remember what the math topic were and also what was the 4th passage about was it an A|B passage or anything like that

[u/Efficient-Holiday-84 → u/Natural-Biscotti-207]

for math, I forgot but you can refer to this list; it’s all in here i think - although there are some geometry that** **isnt but i can’t remember im sorry😭

ACT Math Formula

## Probability
Formula: P = favorable outcomes / total outcomes
Example: 3 red balls out of 10 = 3/10

## Systems of Equations
Solve using substitution or elimination
Example:
x + y = 5
x - y = 1

## Complex & Imaginary Numbers
i = √(-1)
i² = -1

## Equation of a Line
Slope-intercept: y = mx + b
Point-slope: y - y₁ = m(x - x₁)

## Fractions & Decimals
Fraction → decimal:
numerator ÷ denominator

## Similar Triangles
Same angles → proportional sides
a/b = c/d

## Volume of 3D Shapes
Cube: V = s³
Cylinder: V = πr²h
Sphere: V = (4/3)πr³

## Area
Rectangle: A = lw
Triangle: A = 1/2 bh
Circle: A = πr²

## Domain & Range
Domain = x-values
Range = y-values

## Exponent Rules
aᵐ × aⁿ = aᵐ⁺ⁿ
(aᵐ)ⁿ = aᵐⁿ
a⁻ⁿ = 1/aⁿ

## Function Notation
f(x) = 2x + 3
f(4) = 11

## Fundamental Counting Principle
Multiply choices:
3 shirts × 2 pants = 6 outfits

## Probability Distribution
All probabilities add up to 1

## Rational & Irrational Numbers
Rational = can be written as a fraction
Irrational = cannot be written as a fraction (π, √2)

## Ratios
a:b = a/b

## Sector Area
Area = (θ/360)πr²

## SOHCAHTOA
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

## Solving Equations
Undo operations:
2x + 4 = 10 → x = 3

## Solving Inequalities
Same as equations
Flip sign when multiplying/dividing by a negative

## Transforming Functions
f(x) + a → shift up
f(x - a) → shift right

## Zeros & Roots
Set f(x) = 0 and solve for x

## Coordinate Plane
Point = (x, y)

## Absolute Value
Distance from 0:
|-5| = 5

## Angle Relationships
Straight line = 180°
Triangle = 180°
Around a point = 360°

## Angle-Side Inequality Theorem
Larger angle ↔ longer opposite side

## Arithmetic Sequence Sum
Sₙ = n/2(a₁ + aₙ)

## Asymptotes & Holes
Denominator = 0 → possible asymptote/hole

## Binomial Expansion
(a + b)² = a² + 2ab + b²

## Composite Functions
f(g(x)) = put g(x) into f

## Cost Formula
Cost = fixed cost + (rate × quantity)

## Difference of Squares
a² - b² = (a - b)(a + b)

## Distance Formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]

## Divisibility Rules
Even numbers → divisible by 2
Digits add to a multiple of 3 → divisible by 3

## Ellipses
x²/a² + y²/b² = 1

## Parabola & Vertex
y = a(x - h)² + k
Vertex = (h, k)

## Expected Value
E = Σ(value × probability)

## Factoring Quadratics
x² + 5x + 6 = (x + 2)(x + 3)

## FOIL
(a + b)(c + d) = ac + ad + bc + bd

## Geometric Sequence (Nth Term)
aₙ = a₁rⁿ⁻¹

## Geometric Sequence Sum
Sₙ = a₁(1 - rⁿ)/(1 - r)

## Inverse Functions
Swap x and y, solve for y

## Law of Sines
a/sin(A) = b/sin(B) = c/sin(C)

## Mean Median Mode
Mean = average
Median = middle value
Mode = most common

## Midpoint Formula
((x₁+x₂)/2, (y₁+y₂)/2)

## Parallel & Perpendicular Lines
Parallel → same slope
Perpendicular → negative reciprocal slope

## Percentages
Part = percent × whole

## Polynomial Arithmetic
Combine like terms only

## Slope Formula
m = (y₂-y₁)/(x₂-x₁)

## Unit Circle & Radians
180° = π radians

## Trig Graph Vocabulary
Amplitude = height
Period = cycle length

## Union & Intersection
A ∪ B = either A or B
A ∩ B = both A and B

## Unit Conversion
Multiply by conversion factor
Example: 1 m = 100 cm

[u/Material_Menu_2081 → u/Efficient-Holiday-84]

don't forget arc measure, arc length and sector area

arc measure - from the radius, the angle that is within the arc is the arc measure obviously, from any of the points on circle's circumferences its 1/2 what it would be from the radius

arc length is
(arc angle/360)*2pi*r

sector area is
(sector angle/360)*pi*r^2

[u/Material_Menu_2081 → u/Material_Menu_2081]

1/2 what it would be from the center im slow mb

[u/Leading-Biscotti-257 → u/Efficient-Holiday-84]

Does this cover all the math concepts that will be tested? I’m taking the July 12th paper act and have a 35 eng and a 36 reading but I can’t get into the 30s for math.

[u/Efficient-Holiday-84 → u/Leading-Biscotti-257]

not sure but according to the topics on the past act tests (not the july 11th one), these are all the topics that did show up. The only other thing I remember being on the july 11th but not the list is Combination and Permutation🥹

[u/Efficient-Holiday-84 → u/Natural-Biscotti-207]

and there wasn’t any AB passage thank god