Review of rules of addition, subtraction, multiplication and division of fractions

Review how to add, subtract, multiply and divide with decimals

Review of rules of integer operations

Brief overview of the correct order of operations when operating real numbers

The study of algebra involves the use of equations to solve problems. Equations are constructed from algebraic expressions. The purpose of this lecture is to introduce you to these expressions which you will continue to encounter in further algebra courses.

In order to manipulate algebraic expressions, there are governing properties which dictate what we can and not do. We will review these as our guidelines to work with algebraic expressions throughout the course.

Now that we have a grasp of what these expressions look like and what rules we must follow, we need to identify what we consider "like terms" in the world of algebra.

We will expand our ability to manipulate algebraic expressions using our mastery of order of operations and properties of real numbers.

Let us summarize the key concepts that we have learned in this section and put it all together in a real-life example. We will discuss methods that you can use to continue to reinforce what you have learned and provide you with review exercises for further practice.

A key principle to solving equations involves learning to add an equal value to both sides of an equation in order to keep it balanced.

A key principle to solving equations involves learning to multiply an equal value to both sides of an equation in order to keep it balanced.

Let us now combine both principles and solve equations in one variable.

One way to visualize the application of equations is using percentages. Let us take a close look how we can use equations involving percent to enhance our problem-solving skills.

Using the principles we learned in earlier lectures, let us apply them and solve inequalities.

What am I learning this for? Here's an exciting look at how equations and inequalities can be used to solve real-world problems! Now that you can solve equations and inequalities - let's us apply our skills and demonstrate mastery by translating phrases into algebraic equations/inequalities and finding solutions!

• Understand the meaning of exponential notation
• Evaluate exponential expressions
• Apply the product rule of exponents
• Apply the quotient rule of exponents
• understand what the zero exponent
• Express an expression with negative exponents with positive exponents

• Evaluate a polynomials for a given value of the variable
• Identify like terms in polynomial
• Identify the coefficients in a polynomial
• Identify the classification of monomial, binomial, trinomial or none
• Collect like terms in a polynomial

Learn to simplify the addition or subtraction of polynomials

Learn to multiply a combination of different types of polynomials, looking at special products of two binomials as well.

• Divide a polynomial by a monomial
• Divide a polynomial by a binomial using long division

A few words of gratitude...