Mathematics 1 Reference Sheet Flashcards

Vocabulary and formula flashcards covering geometry, coordinate algebra, and trigonometry based on the Mathematics 1 reference sheet.

Standard Form (Lines)

$Ax+ By= C$ where $A, B, \text{ and Care constants, where } A \neq 0 \text{ or } B \neq 0$

Slope-Intercept Form

$Y= mx+ b$ where $m = \text{slope}$ and $b = \text{y-intercept}$

Point-Slope Form

$y-y_1 = m(x- x_1 )$ where $(x_1, y_1)$ and $(x_2, y_2)$ are $2$ points

Slope formula

M = (y2-y1) / (x2-x1)

General Form (Quadratics)

$ax^2 +bx+ c = 0$ where $a, b, \text{ and care constants, where } a \neq 0$

Quadratic Formula

Midpoint

Distance Formula

Area of a Triangle

$A = \frac{1}{2}bh$ where $b = \text{base}$ and $h = \text{height}$

Area of a Parallelogram

$A = bh$ where $b = \text{base}$ and $h = \text{height}$

Area of a Trapezoid

$A = \frac{1}{2}(b_1 + b_2)h$ where $b_1 \text{ and } b_2 \text{ are bases and } h = \text{height}$

Area of a Regular Polygon

$A = \frac{1}{2}ap$ where $a = \text{apothem}$ and $p = \text{perimeter}$

Volume of a Prism

$V = Bh$ where $B = \text{area of base}$ and $h = \text{height}$

Surface Area of a Right Prism

$SA = 2B + Ph$ where $P = \text{perimeter of base}$ and $B = \text{area of base}$

Volume of a Circular Cylinder

$V = \pi r^2h$ where $r = \text{radius}$ and $h = \text{height}$

Surface Area of a Right Circular Cylinder

$SA = 2\pi r^2 + 2\pi rh$ where $\pi \approx 3.14$

Volume of a Pyramid

$V = \frac{1}{3}Bh$ where $B = \text{area of base}$ and $h = \text{height}$

Surface Area of a Right Pyramid

$SA = B + \frac{1}{2}Ps$ where $P = \text{perimeter of base and } s = \text{slant height}$

Volume of a Circular Cone

$$V = \frac{1}{3}\pi r^2h$$

Surface Area of a Right Circular Cone

$SA = \pi r^2 + \pi rs$ where $s = \text{slant height}$

Volume of a Sphere

V = 4/3 (pi*r³)

Surface Area of a Sphere

$$SA = 4\pi r^2$$

Degree Measures in a Regular Polygon

Sum of Degree Measures in a Polygon

$180(n - 2)$ where $n = \text{number of sides}$

Center-Radius Form (Circles)

$(x - h)^2 + (y - k)^2 = r^2$ where the center is $(h, k)$ and $r = \text{radius}$

Area of a Circle

$$A = \pi r^2$$

Circumference

$C = \pi d = 2\pi r$ where $d = \text{diameter}$ and $r = \text{radius}$

Area of a Sector of a Circle

Pythagorean Theorem

$$a^2 + b^2 = c^2$$

Trigonometric ratios

Sin = o/h cos = a/h tan = o/a

Arithmetic Sequence Formula

Arithmetic Series Formula

Simple interest formula

I = prt

I = interest

p = principal

r = annual interest rate

t = time in years

Compound Interest

p = principal

r = annual interest rate

t = time in years

n = compound periods per year

A = amount of money after t years

Distance formula

D = rt

Distance = rate * time

Direct Variation

$y$ varies directly with $x$

Y = kx

Indirect Variation

$y$ varies indirectly with $x$

Y = k/x

Triangle ABC

Angle ABC

Degree measure of angle ABC

Line AB

Line segment AB

AB

Length of segment AB

Circle O

Circle with center point O

Arc AB

Is perpendicular to

||

Is parallel to

Is congruent to

~

Is similar to

Is approximately equal to

Law of sines

Formula for an ellipse centered at (h,k) width 2a, and height 2b

Sum of the roots of a quadratic equation