Homework Help With Algebra
Whether needing help with advanced algebra homework or reviewing for tests, Mr. X can help math students better understand Advanced 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 advanced algebra lesson. Check out our free samples below, as well as the advanced algebra curriculum. Advanced algebra lessons and problems are included with a subscription to Mr. X.
Advanced Algebra Sample Lesson 1
Advanced Algebra Sample Lesson 2
Homework Help With Algebra
Homework Help With Algebra
Title  Description  

Adding Like Terms  From a First Book in Algebra, 1895, by Wallace C. Boyden. Terms combine when they have the same variables to the same powers. 

Advanced Algebra Lesson 307  Solve two inequalities in one variable joined with the conjunction OR. This lesson is appropriate for the "end" of a Basic Algebra course. 

Advanced Algebra Lesson 308  Also appropriate for Basic Algebra, we solve two inequalities in one variable joined with the conjunction AND.  
Algebraic Notation  From A First Book in Algebra, Wallace C. Boyden, 1895. You need a good understanding of a variable, as x. 

Algebraic Notation, many terms  From A First Book in Algebra, Wallace C. Boyden, 1895. Take your time and understand the nature of a variable, as x. 

An Interesting Relationship, with Algebra  From our multiplication table, an interesting relationship between arithmetic and algebra. We observe that x²  1 = (x1)(x+1), or, x² = (x1)(x+1) + 1. 

Arithmetic within Functions  We can take sums, differences, products, and quotients within and between functions.  
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 "fillintheblank" 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 is a basic algebra lesson appropriate for both the "end of basic algebra" and the "beginning of advanced algebra."  
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."  
Domains of Functions  When our functions have to stay within real values we cannot divide by zero or take an even root of a negative value. This Lesson is also a Problem Set. 

Even and Odd Functions  A lesson in EVEN and ODD functions in two variables. The rule: EVEN means f(x) = f(x); ODD means f(x) = f(x). 

Fast Lesson in Slope  This is a fast lesson in slope.  
Graph two linear inequalities  We make a simple graph of the intersection of two regions in x and y.  
Graphing Linear Inequalities 315  We make a quick sketch of two linear inequalities, then graph the region of intersection.  
Like Terms 18  From A First Book in Algebra, Wallace C. Boyden, 1895. Watch your minus signs. 

Multiplying Polynomials  When we multiply polynomials we sum individual products. We multiply each term in one polynomial times each term in the other polynomial. 

Multiplying Polynomials  When we multiply polynomials we sum individual products. We multiply each term in one polynomial times each term in the other polynomial. 

Sigma Notation 110  A basic explanation of Sigma Notation, to take a sum of n terms.  
Sigma Notation 111  We evaluate sums of n terms from sigma notation. We discuss "Rainbow Addition" for APs. 

Sigma Notation 112  We take a good look at an Arithmetic Progression with Sigma Notation and Rainbow Addition.  
Sigma Notation 113  We have 40 terms to sum in this AP, or Arithmetic Progression. We show how the formula for the sum of an AP works. 

Sigma Notation 114  A more involved AP with 263 terms. We take a good look at the formula for an Arithmetic Progression, with Rainbow Addition. 

Sigma Notation 115  A story about Gauss and a famous AP, or Arithmetic Progression. We add the first 100 positive integers. 

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?" 

The Ferry Problem  We take a more involved look into the spreadsheet to maximize the daily revenue of the ferry. As a quadratic function, its graph is a parabola whose vertex is the maximum daily revenue. 