In order to overcome inertia and make progress towards your mastery of College algebra, I have put together the following:
Each Day I will send you a Algebra tidbit that you should memorize, both in email, text message and on my website. Print a hard copy of the Tidbit, fold it, and carry it with you. Make sure you are safe, not near traffic or trains, take it out when you have a spare moment and memorize it.
Cross out a checkoff number (1 through 10) each time you view and memorize, no more that once every 15 minutes.
Uncle Mike reminded me that Khan Academy (KA) was a great learning platform, and indeed it is, Iink to the KA topic follows the tidbit.
Learning Algebra , seems to me, is memorizing about 20 abstract rules, cementing them into your neurons, then calling on those 20 rules to work through a problem. The trick is to have them cemented into your memory,
I am only tid-bitting things that slip my memory.
Tuesday 12/19/17
Basic Exponents
A number to zero power is one.
2^0 = 1, 3^0=1, x^0= 1 and (0^0 = 1 or =0 (it’s undefined))
A number to the 1 power is the number.
2^1= 2, 3^1= 3, x^1= x and 0^1 = 0 and 0^(any power) = 0
Decimal exponents
.2^3 = .2*.2*.2 = .008 and .9^2 = .9*.9 = .81 (9/10 of 9/10)
KA: Basic Exponents | Checkoff: 1 2 3 4 5 6 7 8 9 0
From CLEP Website
Algebraic operations (25%)
- Operations with exponents
- Factoring and expanding polynomials
- Operations with algebraic expressions
- Absolute value
- Properties of logarithms
Equations and inequalities (25%)
- Linear equations and inequalities
- Quadratic equations and inequalities
- Absolute value equations and inequalities
- Systems of equations and inequalities
- Exponential and logarithmic equations
Functions and their properties* (30%)
- Definition and interpretation
- Representation/modeling (graphical, numerical, symbolic, and verbal representations of functions)
- Domain and range
- Algebra of functions
- Graphs and their properties (including intercepts, symmetry, and transformations)
- Inverse functions
Number systems and operations (20%)
- Real numbers
- Complex numbers
- Sequences and series
- Factorials and Binomial Theorem
*Each test may contain a variety of functions, including linear, polynomial (degree ≤ 5), rational, absolute value, power, exponential, logarithmic, and piecewise-defined.