staar algebra i reference materials
STAAR
STAAR ALGEBRA I REFERENCE MATERIALS
®
State of Texas Assessments of Academic Readiness
FACTORING Perfect square trinomials Difference of squares
a2 + 2ab + b2 = (a + b)2 a2 − 2ab + b2 = (a − b)2 a2 − b2 = (a − b)(a + b)
PROPERTIES OF EXPONENTS Product of powers Quotient of powers
am an = a(m + n) am an
= a(m − n)
Power of a power
(am)n = amn
Rational exponent
an =
Negative exponent
a
m
−n
=
n
am
1 an
LINEAR EQUATIONS Standard form
Ax + By = C
Slope-intercept form
y = mx + b
Point-slope form
y − y1 = m(x − x1)
Slope of a line
m =
y2 − y1
x2 − x1
QUADRATIC EQUATIONS Standard form
f ( x ) = ax 2 + bx + c
Vertex form
f ( x) = a( x − h)2 + k
Quadratic formula
x =
Axis of symmetry
x =
−b
2
b − 4 ac 2a
−b 2a
STAAR ALGEBRA I REFERENCE MATERIALS
®
State of Texas Assessments of Academic Readiness
FACTORING Perfect square trinomials Difference of squares
a2 + 2ab + b2 = (a + b)2 a2 − 2ab + b2 = (a − b)2 a2 − b2 = (a − b)(a + b)
PROPERTIES OF EXPONENTS Product of powers Quotient of powers
am an = a(m + n) am an
= a(m − n)
Power of a power
(am)n = amn
Rational exponent
an =
Negative exponent
a
m
−n
=
n
am
1 an
LINEAR EQUATIONS Standard form
Ax + By = C
Slope-intercept form
y = mx + b
Point-slope form
y − y1 = m(x − x1)
Slope of a line
m =
y2 − y1
x2 − x1
QUADRATIC EQUATIONS Standard form
f ( x ) = ax 2 + bx + c
Vertex form
f ( x) = a( x − h)2 + k
Quadratic formula
x =
Axis of symmetry
x =
−b
2
b − 4 ac 2a
−b 2a
