Math 1 Formula Sheet

Consecutive integers/consecutive positive/consecutive negative	x, x+ 1, x+2, …

Consecutive odd/even integers	x, x+ 2, x+4, …

Multiplication/division rules

Multiply/divide same signs is positive	multiply/divide different signs is negative

+ + = +	+

All Functions

Dependent	doMain

Range	Independent

Y	X

x intercept when y = 0 y intercept when x = 0

Linear Functions (use L1 and L2 then STAT CALC 4)

Slope (aka rate of change)	slope =	Standard Form Ax+By = C *in standard form

Slope intercept form y = mx + b m = slope	b = y-intercept slope =

Parallel lines - same slopes

Perpendicular lines- opposite reciprocal slopes (flip slope fraction and switch the sign)

Exponents	bx by = bx+y	bx = bx-y	(bx)y= bxy

by

Quadratic Functions (use L1 and L2 then STAT CALC 5)

(solutions, roots, x intercepts, zeros where y=0)

Standard Form y = ax2 + bx + c = 0 a < 0 opens down a > 0 opens up

Exponential Functions	y = a(b)x	(use L1 and L2 then STAT CALC 0)

Exponential Growth y = a(1+r)t	Exponential Decay	y = a(1-r)t

a = initial value	r= rate always change % to decimal by dividing by 100	t = time

Geometry

Rectangular solid (box) V = lwh	Volume of cylinder V = πr2h Volume of a sphere V = πr2h

Pythagorean Theorem	a2 + b2 = c2

Distance- use Pythagorean theorem	Midpoint x1 + x2 , y1 + y2	also add x’s divide by 2

2	2 add y’s divide by 2

Statistics Interquartile range (IQR) Q3 – Q1	Range = max – min