Formulas

Geometry Formulas
Perimeter	P = sum of sides
Area of a triangle	A = ½bh
Area of a rectangle	A = lw
Area of a parallelogram	A = bh
Area of a trapezoid	A = ½·(b₁ + b₂)·h
Area of a circle	A = πr₂

Word Problem Formulas
Distance	Distance = rate X time
Interest	Interest = principal X rate X time
Compound Interest
Work accomplished	work accomplished = (rate of work) X (time worked)

Graphing Formulas
Distance (for graphs)
Midpoint
Slope
Slope-Intercept Form	y = mx + b

Quadratic Equations
Standard Form	ax ² + bx + c = 0
Difference of squares	x ² - b ² = (x + b)(x - b)
Quadratic formula

Conic Sections
Circle	Centered at (h, k) with a radius of r:
	(x - h)² + (y - k)² = r ²
Ellipse	Centered at (h, k) with its major axis parallel to the x-axis:

	Centered at (h, k) with its major axis parallel to the y-axis:

Parabola	If parabola opens vertically:
	y = a(x - h)² + k
	If parabola opens horizontally:
	x = a(y - k)² + h
Hyperbola	If transverse axis is horizontal:

	If transverse axis is vertical:

Sequences and Series
Arithmetic Sequence	a_n = a₁ + (n - 1)d
Geometric Sequence	a_n = a₁ r ^n-1
Arithmetic Series
Geometric Series

Pop Quiz!

Which of the following graphs could represent y is directly proportional to x?

Either graph could represent y is directly proportional to x.

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