*Life of Fred: Beginning Algebra*

Please do not start *Life of Fred: Beginning Algebra Expanded Edition* without doing the three pre-algebra books first. (*Pre-Algebra 0 with Physics, Pre-Algebra 1 with Biology,* and *Pre-Algebra 2 with Economics*.)

The three pre-algebra books are an essential introduction to the material of beginning algebra.

They teach, among many other things,

- Graphing
- An introduction to word problems. For example, one of the problems in a Your Turn to Play is: Let's suppose on some day Fred sold x Gourmet Gauss Dogs and made a profit of $3 per dog. On that day he also sold x - 2 Double Dogs and made a profit of $2 per dog. And on that day he sold x - 8 Cold Dogs and made a profit of $1 per dog. If he made $168 on that day, how many Gourmet Gauss Dogs did he sell?

We are serious about learning how to do word problems.

*Life of Fred: Beginning Algebra Expanded Edition* offers more material than is normally taught in a year of high school algebra. It also chronicles five days of Fred's life when he (at age 6) is drafted by accident and sent off to an army camp in Texas.

Chapter 1 Numbers and Sets

finite and infinite sets

natural numbers, whole numbers, integers

set notation

negative numbers

ratios

the empty set

Chapter 2 The Integers

less than (<) and the number line

multiplication

proportion

π

coefficients

Chapter 3 Equationssolving equations with ratios

formulas from geometry

order of operations

consecutive numbers

rational numbers

set builder notation

distance = (rate)(time) problems

distributive property

proof that (negative) × (negative) = positive

Chapter 4 Motion and Mixtureproof of the distributive property

price and quantity problems

mixture problems

age problems

Chapter 5 Two Unknownssolving two equations, two unknowns by elimination

union of sets

graphing of points

mean, mode, and median averages

graphing linear equations

graphing any equation

Chapter 6 Exponentssolving two equations, two unknowns by graphing

solving two equations, two unknowns by substitution

xmxn, (xm)n and xm ÷ xn

inconsistent and dependent equations

factorials

commutative laws

negative exponents

Chapter 7 Factoringmultiplying binomials

solving quadratic equations by factoring

common factors

factoring x² + bx + c

factoring a difference of squares

factoring by grouping

factoring ax² + bx + c

Chapter 8 Fractions

solving equations containing fractions

simplifying fractions

adding and subtracting fractions

multiplying and dividing fractions

complex fractions

Chapter 9 Square Roots

solving pure quadratic equations

principal square roots

Pythagorean theorem

the real numbers

the irrational numbers

cube roots and indexes

solving radical equations

rationalizing the denominator

extraneous roots

Chapter 10 Quadratic Equations

solving quadratic equations by completing the square

the quadratic formula

long division of a polynomial by a binomial

Chapter 11 Functions and Slopedefinition of a function

domain, codomain, image

six definitions of slope

slope-intercept (y = mx + b) form of the line

range of a function

Chapter 12 Inequalities and Absolute Value

graphing inequalities in two dimensions

division by zero

algebraically solving linear inequalities with one unknown

A.R.T. section (quick summary of all of beginning algebra)

Index

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