STAAR
STAAR ALGEBRA II
REFERENCE MATERIALS
®
State of Texas
Assessments of
Academic Readiness
FACTORING
a2 + 2ab + b2 = (a + b)2
Perfect square trinomials
a2 − 2ab + b2 = (a − b)2
a2 − b2 = (a − b)(a + b)
Sum of cubes
a3 + b3 = (a + b)(a2 − ab + b2)
Difference of cubes
a3 − b3 = (a − b)(a2 + ab + b2)
PROPERTIES OF EXPONENTS
aman = a(m + n)
Power of a power
15
Rational exponent
am
–2
Product of powers
Quotient of powers
01
6
Difference of squares
Negative exponent
a
n
= a(m − n)
(am)n = amn
m
an =
−n
a
=
n
am
1
an
QUADRATIC EQUATIONS
f ( x) = ax 2 + bx + c
Vertex form
f ( x) = a( x − h)2 + k
20
Standard form
Parabola
( x − h)2 = 4p(y − k )
(y − k )2 = 4p( x − h)
Quadratic formula
x =
Axis of symmetry
x =
−b
2
b − 4 ac
2a
−b
2a