Algebra Review Flashcards
Multiplying fractions
multiply across: (a/b)*(c/d)=ac/bd
Divding fractions
Flip one and multiply
Adding and subtracting fractions
must have the same denominator
rule for cancelling in fractions
can cancel ONLY when it has an unbroken chain of multiplication
(powers) x0=?
1
(powers) x-a=?
1/xa
(powers) when multiplying powers:
add powers: x2*x3=x5
(powers) when dividing powers:
Subtract powers: x5/x3=x2
(xa)b=?
xab
(roots) sqrt(0)=?
0
(roots) sqrt(1)=?
1
quadratic formula:

(logs) logc1=?
0
(logs) logcc=?
1
(logs) logc(ab)=?
logca + logcb
(logs) logc(a/b)=?
logca - logcb
(logs) logcab=?
b logca
(logs) logab=?
(logcb)/(logca)
(logs) logaab=?
b
(logs) alogab=?
b
ln(1)=?
1
ln e =?
1
Point slope formula
m(x-x1)=y-y1
slope intercept
y=mx+b
When you can cancel out a domain issue its a (), when you can’t cancel out its an ()
whole
asymptote