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Book Description

1. Dedication
4. Authors of Algebra
5. How to use this Book: Intro
1. Who is this book for?
2. We know what you’re thinking
3. We know what your brain is thinking
5. Here’s what WE did
7. The technical review team
8. Acknowledgments
9. Safari® Books Online
6. 1. What is Algebra?: Solving for unknowns...
1. It all started with a big gaming sale
2. What does a system really cost?
3. Algebra is about solving for unknowns
4. Jo’s got more unknowns
5. X marks the spot unknown
6. Equations are math sentences
7. Now SOLVE for the unknown
8. So which operation do you use when?
9. Jo is ready to accessorize!
10. Equation training
11. Jo has an awesome setup!
12. Math Toolbox
7. 2. (More) Complicated Equations: Taking Algebra on the road
8. 3. Rules for Numeric Operations: Follow the rules
1. Math or No Math
2. There’s an order for working expressions
3. You can re-group your equations
4. It’s an important round...
5. Distributing a value over a grouping doesn’t change a problem’s value
6. A constant stands in for a number
7. Roll the credits...
8. Tools for your Algebra Toolbox
9. 4. Exponent Operations: Podcasts that spread like the plague (that’s a good thing...)
3. Can Addie and Alex get enough hits?
4. Alex is flaking out on his sister
5. There’s always a villain...
6. The order of operations says exponents FIRST
7. A root is the INVERSE of an exponent
8. Tools for your Algebra Toolbox
10. 5. Graphing: A picture’s worth 1,000 words
1. Edward’s Lawn Mowing needs help...
2. Why don’t you just SHOW me the money?
3. Now we can LOOK at Ed&#8217;s cash pattern at Ed’s cash pattern
4. Graphs show an ENTIRE relationship
5. Let’s graph Ed’s equation on the Cartesian Plane
6. Ed’s figuring out the SLOPE of lawns
7. Linear equations in point-slope form
8. How does a point and a slope get you a line?
9. Let’s use the point-slope form
10. Equations also have a standard form
11. The slope-intercept form is EASY to graph
12. Tools for your Algebra Toolbox
11. 6. Inequalities: Can’t quite get enough?
12. 7. Systems of Equations: Know what you don’t know
1. A line means infinite solutions
2. You can’t have -1 gallons of liquid!
3. How does the sparkling equation work?
4. The INTERSECTION of the lines solves BOTH linear equations
5. Solve multiple unknowns with a SYSTEM of EQUATIONS
6. Two kinds of glasses... that’s TWO unknowns
7. Let’s solve the glasses problem
8. You can substitute substitution for graphing
9. f is gone with almost no work
10. Manipulate your equations for elimination
11. Zach’s party rocks!
12. Sometimes two equations aren&#8217;t two lines
13. Tools for your Algebra Toolbox
13. 8. Expanding Binomials & Factoring: Breaking up is hard to do
1. Math or No Math semi-regional masters final
2. Who’s right?
3. Binomials are groups of two algebraic terms
4. The distributive property, revisited
5. Simplify binomials with the distributive property
6. What about when the signs are the SAME?
7. Sometimes there’s just not a pattern...
8. FOIL ALWAYS works
9. Un-distribution is called FACTORING
10. Factoring is un-mulitplying
11. Factor by looking for common terms
12. Zero times anything is 0
13. Tools for your Algebra Toolbox
14. 9. Quadratic Equations: Getting out of line
1. Head First U is at war!
3. Where does Jon put the catapult?
4. You should always factor with a PLAN
5. Pi Gamma Delta built a wall!
6. 9 feet is not a problem
8. Frat Wars, part deux
9. How can you graph x2?
10. A parabola is the shape of a quadratic equation
11. Graphing a parabola depends upon the vertex
12. Work with the parabola, the SMART way
13. The discriminant can help with our graph, too
14. Tools for your Algebra Toolbox
15. 10. Functions: Everyone has limits
1. Pajama Death TV
2. Equations have limits (most of the time)
3. The input limits are the domain of the function
4. Functions have minimum and maximum outputs
5. Algebra is really about relations
6. Relations, equations, and functions all go TOGETHER
7. Function graphs have LIMITS
8. Just before the second episode of Pajama Death TV...
9. Graphing reveals the nature of a relation
10. Functions pass the vertical line test
11. But... what about the REST of the tickets?
12. Use the function piece you NEED
13. The numbers are in... and?
14. Pajama Death’s show was a hit!
15. Tools for your Algebra Toolbox
16. 11. Real-World Algebra: Solve the world’s problems
1. Calculate interest from your interest rate and the principle amount you’re borrowing
2. Max doesn’t own that car just yet...
3. You don’t need to GUESS with Algebra
4. Max plans to pay you to be his financial planner
17. A. Leftovers: The Top Five Things (we didn’t cover)
18. B. Pre-Algebra Review: Build on a solid foundation
1. Algebra starts with numbers
2. How do you work with negative numbers?
3. Addition and subtraction of integers
4. Multiplication and division of integers
5. Absolute Value
6. What absolute value means
7. Number sets - all together
8. The number sets
9. Three ways to split things up
10. Decimal’s Anatomy
11. Addition and subtraction with decimals
12. Decimal multiplication
13. Decimal division
14. Decimal division training
15. Special decimals
16. You’re 100% right!
17. Working with percents
18. Fractions
19. Fraction multiplication
20. Improper fractions
22. Invert a fraction to get its reciprocal
24. Equivalent fractions get you matching denominators
25. Use the lowest common denominator for addition
26. Fraction addition and subtraction training
27. Dividing by one doesn’t change the value
28. Reduce fractions by dividing by 1
29. Factor trees can eliminate lots of little steps
30. Reduce fractions with the factor tree
31. Putting it all together - fractions
32. Converting decimals to fractions
33. Division by Zero doesn’t work
34. Sometimes multiplication takes forever!