Mathematics Reference Sheet Flashcards

Flashcards of math formulas and concepts.

Standard Form of a Line

Ax + By = C, where A, B, and C are constants, and A or B is not 0.

Slope-Intercept Form of a Line

y = mx + b

Point-Slope Form of a Line

y - y1 = m(x - x1)

Slope Formula

m = (y2 - y1) / (x2 - x1), given two points (x1, y1) and (x2, y2).

Quadratic Equation

ax^2 + bx + c

Quadratic Formula

x = (-b ± √(b^2 - 4ac)) / (2a)

Midpoint Formula

((x1 + x2)/2, (y1 + y2)/2)

Distance Formula

√((x2 - x1)^2 + (y2 - y1)^2)

Area of a Triangle

A = (1/2)bh

Area of a Parallelogram

A = bh

Area of a Trapezoid

A = (1/2)(b1 + b2)h, where b1 and b2 are the bases

Area of a Regular Polygon

A = (1/2)ap, where a is the apothem and p is the perimeter.

Volume of a Prism

V = Bh, where B is the area of the base

Surface Area of a Right Prism

SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base

Volume of a Circular Cylinder

V = πr^2h

Surface Area of a Right Circular Cylinder

SA = 2πr^2 + 2πrh

Volume of a Pyramid

V = (1/3)Bh, where B is the area of the base

Surface Area of a Right Pyramid

SA = B + (1/2)Ps, where B is the area of the base, P is the perimeter of the base, and s is the slant height.

Volume of a Circular Cone

V = (1/3)πr^2h

Surface Area of a Right Circular Cone

SA = πr^2 + πrs, where s is the slant height.

Volume of a Sphere

V = (4/3)πr^3

Surface Area of a Sphere

SA = 4πr^2

Sum of Degree Measures in a Polygon

(n - 2) * 180

Center-Radius Form of a Circle

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

Area of a Circle

A = πr^2

Circumference of a Circle

C = πd = 2πr

Area of a Sector

A = (θ/360) * πr^2, where θ is the degree measure of the sector and r is the radius.

Pythagorean Theorem

a^2 + b^2 = c^2

Simple Interest

I = Prt, where P is the principal, r is the rate, and t is the time.

Compound Interest

A = P(1 + r/n)^(nt), where P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time.

Distance, Rate, Time

d = rt

Direct Variation

y = kx

Indirect Variation

y = k/x

Arithmetic Sequence

a_n = a₁+(n-1)d, where d is the common difference

Arithmatic Series

s_n=(n/2)(a₁+a_n), where s_n is the sum of the first n terms

Geometric Sequence

a_n=ar^n-1, where r is the common ratio