Download Algebra 1 Reference Sheet

Algebra 1
Reference Sheet
Exponent Rules
x a • x b = x a+b
a
a a
(xy) = x y
(x a)b = x a•b
a
x
= x a–b
xb
x –a =
1
xa
x0 = 1
a
Slope
y – y1
m= 2
x2 – x1
Slope-Intercept Form
y = mx + b
Special Cases of
Multiplying/Factoring
Polynomials
a(b + c) = ab + ac
(a + b)2 = a 2 + 2 ab + b 2
(a – b)2 = a 2 – 2ab + b 2
(a + b)(a – b) = a 2 – b 2
Point-Slope Form
y – y1 = m (x – x1 )
Quadratic Equation
Standard Form
Standard Form
Ax + By = C
ax 2 + bx + c = 0
Pythagorean Theorem
x1 = x
( yx )
Linear Formulas
a2 + b 2 = c 2
a
=
x
ya
c
b
a
Álgebra 1
Hoja de Referencia
Reglas de Exponentes
x a • x b = x a+b
a
a a
(xy) = x y
(x a)b = x a•b
a
x
= x a–b
xb
x –a =
1
xa
x0 = 1
x1 = x
( yx )
a
a
=
x
ya
Fórmulas Lineales
Pendiente
y – y1
m= 2
x2 – x1
Forma pendienteordenada de una recta
en pendiente
y = mx + b
Casos Especiales de
Multiplicar o Factorear
Polinomios
a(b + c) = ab + ac
(a + b)2 = a 2 + 2ab + b 2
(a – b)2 = a 2 – 2ab + b 2
(a + b)(a – b) = a 2 – b 2
Ecuación Cuadrática,
Forma Estándar
Forma punto-pendiente
de una recta
y – y1 = m(x – x1)
ax 2 + bx + c = 0
Forma Estándar
Ax + By = C
a2 + b 2 = c 2
Teorema de Pitágoras
c
b
a