GED Math Formulas Flashcards for Quick Review

Study Notes

Geometric Formulas

Circumference of a circle: C = πd
Area of a circle: A = πr²
Hypotenuse: Longest side of a right triangle
Pythagorean Theorem: a² + b² = c²
Perimeter of a square: P = 4s
Perimeter of a rectangle: P = 2l + 2w
Perimeter of a triangle: P = a + b + c
Area of a square: A = s²
Area of a rectangle: A = lw
Area of a parallelogram: A = bw
Area of a triangle: A = ½bh
Area of a trapezoid: A = ½h(b₁ + b₂)

Surface Area Formulas

Surface area of a rectangular/right prism: SA = ph + 2B
Surface area of a cylinder: SA = 2πrh + 2πr²
Surface area of a pyramid: SA = ½ps + B
Surface area of a cone: SA = πrs + πr²
Surface area of a sphere: SA = 4πr²

Volume Formulas

Volume of a rectangular/right prism: V = Bh
Volume of a cylinder: V = πr²h
Volume of a pyramid: V = ⅓Bh
Volume of a cone: V = ⅓πr²h
Volume of a sphere: V = ⅔πr³

Financial and Statistical Concepts

Simple interest formula: I = Prt
Distance formula: d = rt (where r = rate, t = time)
Total cost calculation: Total Cost = (number of units) x (price per unit)
Mean (average): Total of values divided by the number of values
Median: Middle value in a sorted data set or average of two middle values
Mode: Most frequently occurring number in a data set
Range: Difference between the largest and smallest numbers

Calculating Statistical Values

Calculating Mean: Sum all numbers and divide by count
Calculating Mode: List numbers in order and identify the most frequent
Calculating Median: Sort numbers, find middle value, and average two middle values if applicable
Calculating Range: Subtract smallest number from largest

Specific Examples

Range of the numbers 2, 4, 6, 8, 12, 16 is 14
Mode of the numbers 7, 12, 1, 5, 7, 8 is 7
Median of the numbers 7, 12, 1, 5, 7, 8 is 7.5
Mean of the numbers 5, 8, 17, 20, 0 is 10

Linear Equations

Slope of a line: Change in y / Change in x
Slope-intercept form: y = mx + b (m is slope, b is y-intercept)
Point-slope form: y - y₁ = m(x - x₁)
Standard form of an equation: y = ax² + bx + c
Quadratic formula utilized for solving quadratic equations (not provided in the initial text)

Description

This quiz features essential math formulas for the GED, including key concepts like circumference, area of a circle, and the Pythagorean Theorem. Each flashcard provides a visual representation along with definitions to aid learning. Perfect for those preparing for the GED math section.