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BASIC ALGEBRA LESSONS

Whether needing help with basic algebra homework or reviewing for tests, Mr. X can help you, your child or your students better understand Basic Algebra. Our lessons are designed to reinforce the instructor's message. We also have a library of sample algebra problems with examples of solved problems for each basic algebra lesson. Check out our free samples below, as well as the basic algebra curriculum. Basic algebra lessons and problems are included with a subscription to Mr. X.

Basic Algebra Sample Lesson 1

Basic Algebra Sample Lesson 2

Basic Algebra Sample Lesson 3

Basic Algebra Curriculum

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Title	Description
Arithmetic within Functions	We may do basic arithmetic operations within and between functions.
Basic Algebra Lesson 01 - X is the Unknown	We begin with a variable representing a "fill-in-the-blank" to make a statement true.
Basic Algebra Lesson 02 - X Fills in the Blank	Don't let the concept of a variable throw you. You just "fill in the blank" with what you already know. Each "x" is unique to a math statement. We do not use different values of x "in the same problem."
Basic Algebra Lesson 03 - X Can Be Anything	The value that x stands for can be any value. Typically, we seek the value for x the makes a statement true.
Basic Algebra Lesson 04 - Anything Goes	Variables can be negative, positive, irrational, rational... all kinds of things. Anything goes... Try to make the statement true. A statement that is always true is called an identity.
Basic Algebra Lesson 05 - One Good Idea Top to Bottom	Dividing a fraction with like coefficients in the numerator and the denominator simplifies to unity.
Basic Algebra Lesson 06 - Coefficients Add Efficiently	To do algebra easily and effectively, understand that coefficients add efficiently.
Basic Algebra Lesson 07 - Dr. X Can No Longer Operate	At some point we need to leave the symbol for the operation of multiplication behind, as "X" has become a variable, and not a symbol to multiply.
Basic Algebra Lesson 08 - X is Handy, In (or Out)	X is a handy thing, whether it is inside or outside of parentheses.
Basic Algebra Lesson 09 - Sum Groups are Worth Joining	Grouping terms according to the Associative Law is exceptionally easy to see.
Basic Algebra Lesson 10 - Ignorance of the Law is No Excuse	The Commutative Law and the Distributive Law are discussed.
Basic Algebra Lesson 11 - One Identity, One Additional Identity	Zero is the Additive Identity. One is the Multiplicative Identity.
Basic Algebra Lesson 12 - Inverses, Additive and Reciprocal	Discussed are necessary elements from arithmetic. Students should master arithmetic before embarking on algebra.
Basic Algebra Lesson 13 - Division and Subtraction Defined	Differences and quotients are explained with our most basic operations. We may define both subtraction and division as addition and multiplication, respectively.
Basic Algebra Lesson 14 - Rearrange the Furniture	The terms of a sum may be arranged in any order. The terms of a product may be arranged in any order.
Basic Algebra Lesson 15 - Cancel My Policy, Please	We may subtract the same value from each side of an equality and maintain the equality. We may divide the same value (a factor) from each side of an equality and maintain the equality.
Basic Algebra Lesson 16 - Negative Multiplication	When you have a single minus sign in a multiplication operation you're almost surely ending up on the negative side of the ledger.
Basic Algebra Lesson 307	Appropriate for both Basic Algebra and Advanced Algebra, we solve two inequalities in one variable joined with the conjunction OR.
Basic Algebra Lesson 308	This lesson is appropriate for both Basic Algebra and Advanced Algebra. We solve two inequalities in one variable joined with the conjunction AND.
Basic Algebra Problem 302	This lesson is appropriate for the "end of a basic algebra course" as well as "the beginning of an advanced algebra course."
Fast Lesson in Slope	This is a fast lesson in slope.
Graphing Linear Inequalities 315	We make a quick sketch of two linear inequalities, then graph the region of intersection.
Multiplying Polynomials	When we multiply polynomials we sum individual products. We multiply each term in one polynomial times each term in the other polynomial.
Solve Linear Eqns with Fractions 05	These problems are also found in Solve Linear Eqns. Problem Set 05.
Solve Linear Equations 01	Practice with basic algebra at its finest. These skills are important to build upon for more challenging problems that come later.
Solve Linear Equations 02	Good, basic practice with simple equations in x.
The Ferry Problem	This little quadratic problem lends itself to Basic Algebra, Advanced Algebra, and the Calculus. In this video, we look at a simple spreadsheet to answer the question, "What fare should you charge to maximize your daily revenue for your ferry?"