asvab formulas 2.0

Distance, Rate, and Time Formulas

1. Distance: d = r \times t
2. Rate: r = \frac{d}{t}
3. Time: t = \frac{d}{r}

Simple Interest Formula

I = P \times r \times t

• I: Interest earned
• P: Principal (starting amount)
• r: Rate (as a decimal)
• t: Time (usually in years)

Percent Change Formula

\text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100

Average (Mean) and Probability Formulas

• Average (Mean): \frac{\text{Sum of all values}}{\text{Number of values}}
• Probability: \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

Geometry: Perimeter and Area of Rectangles and Squares

• Square: $P = 4s$; $A = s^2$
• Rectangle: $P = 2l + 2w$; $A = l \times w$

Geometry: Circle Formulas

• Area: A = \pi r^2
• Circumference: C = 2\pi r or C = \pi d

Geometry: Area of a Triangle and Pythagorean Theorem

• Triangle Area: A = \frac{1}{2}bh
• Pythagorean Theorem: a^2 + b^2 = c^2 (for right triangles)

Geometry: Volume Formulas

• Cube: V = s^3
• Rectangular Prism: V = l \times w \times h
• Cylinder: V = \pi r^2 h

Algebra: Slope and PEMDAS

• Slope-Intercept Form: y = mx + b
• Slope Formula: m = \frac{y2 - y1}{x2 - x1}
• PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Mechanical Comprehension: Force, Work, and Power

• Force: F = m \times a
• Work: W = F \times d
• Power: P = \frac{W}{t}

Mechanical Comprehension: Simple Machines

• Pressure: P = \frac{F}{A}
• Mechanical Advantage (MA): MA = \frac{\text{Output Force}}{\text{Input Force}}
• Pulley Systems: MA usually equals the number of ropes supporting the movable load.