Algebra Tutorials!  
     
     
Tuesday 25th of April
   
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Rotating a Parabola
Multiplying Fractions
Finding Factors
Miscellaneous Equations
Mixed Numbers and Improper Fractions
Systems of Equations in Two Variables
Literal Numbers
Adding and Subtracting Polynomials
Subtracting Integers
Simplifying Complex Fractions
Decimals and Fractions
Multiplying Integers
Logarithmic Functions
Multiplying Monomials
Mixed
The Square of a Binomial
Factoring Trinomials
The Pythagorean Theorem
Solving Radical Equations in One Variable
Multiplying Binomials Using the FOIL Method
Imaginary Numbers
Solving Quadratic Equations Using the Quadratic Formula
Solving Quadratic Equations
Algebra
Order of Operations
Dividing Complex Numbers
Polynomials
The Appearance of a Polynomial Equation
Standard Form of a Line
Positive Integral Divisors
Dividing Fractions
Solving Linear Systems of Equations by Elimination
Factoring
Multiplying and Dividing Square Roots
Functions and Graphs
Dividing Polynomials
Solving Rational Equations
Numbers
Use of Parentheses or Brackets (The Distributive Law)
Multiplying and Dividing by Monomials
Solving Quadratic Equations by Graphing
Multiplying Decimals
Use of Parentheses or Brackets (The Distributive Law)
Simplifying Complex Fractions 1
Adding Fractions
Simplifying Complex Fractions
Solutions to Linear Equations in Two Variables
Quadratic Expressions Completing Squares
Dividing Radical Expressions
Rise and Run
Graphing Exponential Functions
Multiplying by a Monomial
The Cartesian Coordinate System
Writing the Terms of a Polynomial in Descending Order
Fractions
Polynomials
Quadratic Expressions
Solving Inequalities
Solving Rational Inequalities with a Sign Graph
Solving Linear Equations
Solving an Equation with Two Radical Terms
Simplifying Rational Expressions
Exponents
Intercepts of a Line
Completing the Square
Order of Operations
Factoring Trinomials
Solving Linear Equations
Solving Multi-Step Inequalities
Solving Quadratic Equations Graphically and Algebraically
Collecting Like Terms
Solving Equations with Radicals and Exponents
Percent of Change
Powers of ten (Scientific Notation)
Comparing Integers on a Number Line
Solving Systems of Equations Using Substitution
Factoring Out the Greatest Common Factor
Families of Functions
Monomial Factors
Multiplying and Dividing Complex Numbers
Properties of Exponents
Multiplying Square Roots
Radicals
Adding or Subtracting Rational Expressions with Different Denominators
Expressions with Variables as Exponents
The Quadratic Formula
Writing a Quadratic with Given Solutions
Simplifying Square Roots
Adding and Subtracting Square Roots
Adding and Subtracting Rational Expressions
Combining Like Radical Terms
Solving Systems of Equations Using Substitution
Dividing Polynomials
Graphing Functions
Product of a Sum and a Difference
Solving First Degree Inequalities
Solving Equations with Radicals and Exponents
Roots and Powers
Multiplying Numbers
   
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Fractions

Terms

Numerator: which tells how many parts you have (the number on top)

Denominator: which tells how many parts in the whole (the number on the bottom)

Example:

is 3 parts have a dot out of 4

 

Proper fraction: the top number is less than the bottom number.

Improper fraction: the top number is equal to or is larger than the bottom number.

Mixed Number: a whole number is written next to a proper fraction.

Common Denominator: is a number that can be divided evenly by all of the denominators in the problem

The common denominator for these fractions will be 12. It also happens to be least common denominator.

 

Reducing Fractions to Lowest Terms

Example:

Step 1: Find a number that goes evenly into the numerator and the denominator of the fraction. With the fraction to the left, the number that will go in evenly is 8.

Step 2: Check to see whether another number goes evenly into both the numerator and denominator. Stop when there are no more numbers that can go into the fraction.

In the example, the fraction can be reduced further by dividing it by 2.

 

Changing Mixed Numbers to Improper Fractions

Example: Change to an improper fraction.

2 × 4 = 8 Step 1: Multiply the denominator by the whole number.

8 + 3 = 11 Step 2: Add the result to the numerator.

Step 3: Place the total over the denominator.

 

Adding and Subtracting Fractions With Different Bottom Numbers

Example 1:

Step 1: Need to find the common denominator for all fractions.

Step 2: Then go ahead and add or subtract the fractions.

*Remember to change improper fractions to a mixed number.

 

Multiplying Fractions

Multiply the numerators across. Then multiply the denominators across. Make sure the product is in lowest terms.

 

Multiplying with Mixed Numbers

Example

Step 1: Change every mixed fraction to an improper fraction.

Step 2: The multiply across.

Step 3: Then, change the improper fraction to a mixed number in lowest terms.

 

Dividing Fractions

Example:

The fraction that is right of the division sign will need to be turned upside down by writing the numerator in the denominator and the denominator in the numerator. Then follow the rules for multiplying fractions.

 
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