Life of Fred

by Stanley F. Schmidt

by Stanley F. Schmidt

Publisher:
Polka Dot Publishing

Expanded edition^{}, ©2013, ISBN: **9781937032111**

Hardcover, 544 pages

Price: $49.00

Please do not start *Life of Fred: Beginning Algebra* without doing the two pre-algebra books first (or their equivalent). The two 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?

The Fred booksare serious about learning how to do word problems.

Life of Fred: Beginning Algebra 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 is drafted by accident (at the age of 6) 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 - Equations**

solving 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 Mixture**

proof of the distributive property

price and quantity problems

mixture problems

age problems

**Chapter 5 - Two Unknowns**

solving 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 - Exponents**

solving 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 - Factoring**

multiplying 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 Slope**

definition 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

- Numbers
- Integers
- Equations
- Motion & Mixture
- Two Unknowns
- Exponents
- Factoring
- Fractions
- Square Roots
- Quadratic Equations
- Functions & Slope
- Inequalities & Absolute Value

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