When you simplifying complex fractions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a “+” or “-” and if all terms cancel in the numerator, there is still a one (1) there.

How Do You Simplify Complex Fractions?

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To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices. To use matrices to solve a system of linear equations, we first enter the values associated with each of the variables and the answer. Once we put the information into a matrix (a rectangular array of numbers), we can use matrix operations to solve the equation.

Example of an Augmented Matrix

augmented matrix

Definitions:

• Elements: Each of the entries in the augmented matrix
• Rows: The numbers or variables that run across the matrix.
• Columns: The numbers or variables that run down the matrix.
• The diagonal of the matrix: The set of elements that starts at the top, left corner and runs diagonally down and to the right. (This diagonal: 2, -1 and 4.)

What Is An Augmented Matrix?

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Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots, or using the quadratic formula. The cool thing is that solving quadratic equations by completing the square will always work when solving quadratic equations, and the technique is a good tool to have in your math tool belt.

How Do You Complete the Square?

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Equations are fundamental to Algebra, and solving linear equations is necessary for you to learn how to solve two-step equations, and other multi-step equations. Solving linear equations involves finding the value for the variable that makes the statement true using additive and multiplicative inverses.

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If logarithms seem like Greek to you, this interactive algebra 2 lesson will help you sort things out. We can use many bases for a logarithm, but the bases most typically used are the bases of the common logarithm and the natural logarithm. The common logarithm has base 10, and is represented on the calculator as log(x). The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). The natural and common logarithm can be found throughout Algebra and Calculus.

What Are Natural and Common Logarithms?

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Periodic Functions: Sine and cosine are periodic functions, which means that sine and cosine graphs repeat themselves in patterns. You can graph sine and cosine functions by understanding their period and amplitude.

What Are Periodic Trigonometric Functions?

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What Are Sequences

This is an introduction to sequences. Lists of numbers, finite and infinite, that follow certain rules are called sequences. This lesson covers the definition of a sequence, and how to identify a rule. There are specific sequences that have their own formulas and methods for finding the value of terms, such as arithmetic and geometric sequences.

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Are you lost in translation when it comes to translating a graphed object? This free video lesson will explain it in simple terms and make translations into child’s play.

How Do You Translate A Graphed Object?

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The standard form of a line puts the x and y terms on the left hand side of the equation, makes the coefficient of the x-term positive, and puts everything else on the right side. The standard form is not used for graphing. In that case you would use the slope-intercept form.

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There are several ways to solve quadratic equations, one of which is factoring. When we solve quadratic equations by factoring we set one side of the equation to zero, and then factor the quadratic equation, so we can use the zero product property to determine where x = 0.

In addition to solving quadratic equations by factoring, we can also use square roots, the completing the square method, or the quadratic formula.

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