Precalculus Pre-Algebra & Algebra I SYMKC Review

Order of Operations (PEMDAS)

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Domain

x-values/independent/input

Range

y-values/dependent/output

Pythagorean Theorem

a²+b²=c²

Distance formula

Fraction Table

Conversions & Measurements Table

Distance Formula (physics)

d=rt (distance=rate*time)

Mean formula

add together/total #s

Median

put in order (middle of data set)

Mode

most often occuring number

Range

smallest-biggest numbers

Midpoint Formula

((x₁+x₂)/2),((y₁+y₂)/2)

Parallel lines

never intersect, have same slope and different y-int.

Perpendicular lines

they intersect, they have opposite reciprocal slopes

Discriminant Formula

b²-4ac

Discriminant rules

>0 (√+)= 2 solutions
=0 (√0)= 1 solution
<0 (√-)= no solutions (or 2 imaginary solutions)

Power Tables #1

Power Tables #2

Parent Function form

y=x

Standard Form

Ax+By=C

Slope-Intercept Form

y=mx+b

Point slope form

y-y₁=m(x-x₁)

Slope

m=y₂-y₁/x₂-x₁