The Facts On File Algebra Handbook

Formulas and Theorems – Fractions CHARTS & TABLES

Formulas and Theorems – Fractions CHARTS & TABLES

Formulas and Theorems (continued)

Rate of gravity

g= 32 ft/sec^2

Slope

Slope-intercept

y=mx+b

Sum of two cubes

a^3 +b^3 = (a+b)(a^2 – ab+b^2 )

y 2 – y 1

x 2 – x 1

Fractions

A fraction is any expression that is written as two quantities in which one is

divided by the other. For example, , , , ,.

There are several things to keep in mind when working with fractions:

Adding fractions

If the denominators are the same(common denominators), add the numerators.

If the denominators are different,convert the fractions to higher terms to give them

the same denominator, then add the fractions together.

(continues)

(^2) – +– (^1) = — (^6) +— = — = (^4105) –
4 3 12 12 12 6
(^2316) – +–+–=–
4444
aca – + –=——+c
b b b
——^14
x+y
—^7
16
(^5) –
8
(^3) –
4
(^1) –
2