The Facts On File Algebra Handbook

CHARTS & TABLES Formulas and Theorems

CHARTS & TABLES Formulas and Theorems

Formulas and Theorems (continued)

Perfect Square Trinomial

a^2 + 2ab+b^2

Perimeter

Circle

See CIRCUMFERENCE.

Equilateral Triangle

Perimeter = length of any side × 3

p= 3s

Rectangle

Perimeter = length ×2 plus the width × 2

p= 2l+ 2w

Regular polygon

Perimeter = the number of nsides ×length of any side

p=ns

Square

Perimeter = length of any side × 4

p= 4s

Triangle

Perimeter = total length of side a+ side b+ side c

p=a+b+c

Point slope theorem

y–y 1 =m(x–x 1 )

Pythagorean theorem

The hypotenuse squared = the length of side asquared plus side bsquared

c^2 =a^2 +b^2

Quadratic Equations

Quadratic Formula Theorem

If ax^2 +bx+c= 0, and a≠0, then

Standard form of a quadratic equation

ax^2 +bx+c= 0

Standard form of a quadratic equation in two variables

y =ax^2 +bx+c

(continues)

x= ——————–b±√b^2 – 4ac

2 a