Page 901 - Algebra 1

Subtraction Property of Inequality
(66)
For every real number a, b, and c, if a < b, then a - c < b - c.
Also holds true for >, ≤, ≥, and ≠. Zero Exponent Property
(32)
For every nonzero number x, x0 = 1. Zero Product Property
(98)
For every real number a and b, if ab = 0, then a = 0 and/or b = 0.
Formulas
Volume
Where B is the area of the base of a solid figure,
Prism or cylinder Pyramid or cone
Linear Equations
Slope formula Slope-intercept form Point-slope form Standard form
Quadratic Equations
Standard form Axis of symmetry Discriminant Quadratic formula
Sequences
V = Bh V = _1Bh
3
_
x2 - x1
m=y-y 21
Perimeter
Rectangle Square
P = 2I + 2w or P = 2(I + w) P = 4s
y = mx + b
y - y1 = m(x - x1) Ax + By = C
ax2 +bx+c=0 x = - _b
2a b2 -4ac
x = - b ± √ b 2 - 4 a c __
2a
Circumference
Circle
Area
Rectangle Triangle Trapezoid Circle
C= πd or C = 2πr
A= lw A= _1 bh
2
nth term of an arithmetic sequence an =a1 +(n-1)d
nth term of an geometric sequence an =a1 ·rn-1
A= πr2 Surface Area
sine of ∠A = length of leg opposite ∠A length of hypotenuse
Cube S = Cylinder S =
6s2
length of leg opposite ∠A ___
Cone
amount of change __
886
Saxon Algebra 1
A= _1 ( b + b ) h
212 ___
2πr2 + 2πrh S=πr2 +πrl
tan of ∠A = length of leg adjacent to ∠A Percents
Trigonometric Ratios
cosine of ∠A = length of leg adjacent to ∠A ___
length of hypotenuse
Percent of change =
original amount