Intermediate Algebra

Pre-College Prep Course



Intermediate Algebra
Pre-College Prep Course

Learn Intermediate Algebra and Get Ready For College.

Welcome to your intermediate algebra course! This course will help you further develop the concepts of basic algebra. You’ll learn about equations and inequalities; quadratic, rational, radical, exponential, and logarithmic equations and functions; and even touch on some geometry and trigonometry computations.

There are a number of important skills that are needed to be successful in this course—and mathematics in general—beyond just the basics, such as computation. One of these skills is mathematical reasoning. Let’s take a look at what mathematical reasoning is and why it’s important.

Mathematical reasoning involves being able to notice patterns or structure in problems or ideas. These patterns or structures are then used to guide the application of mathematical skills and knowledge in finding a solution. During this math course and others, it’s important for you to think about the how and why of finding an answer, versus merely just providing the answer.

Intermediate Algebra
Sample Syllabus Sections 1 & 2


1.1 Why is Mathematical Reasoning Important? - Welcome to your intermediate algebra course! This course will help you further develop the concepts of basic algebra.

1.2 Problem-Solving Order of Operations - Problem-solving in mathematics can be one of the more difficult areas for many people. This is because the problems are not always directly provided in a way to solve them, such as with an equation or formula.

1.3 Numerical Expressions - In this lesson, you’ll learn how to evaluate mathematical expressions using the order of operations.

1.4 Algebraic Expressions - What is a variable? A variable is a quantity that is unknown, or changeable. In other words, it is a non-fixed value. This is the opposite of a constant, which is a fixed number.

1.5 Properties of Addition and Multiplication - But, what exactly is an equation? An equation is different from an expression. Whereas an expression is considered a phrase, an equation is a mathematical sentence that contains an equal sign.

1.6 Ordered Pairs - Graphs can be used to visually represent a relationship between two variables. This section will explore the different parts of a graph and how to use ordered pairs to plot points on a graph.

1.7 Scatter Plots - A scatter plot creates a visual representation of the relationship between two variables (or sets of data), and can often more clearly show any correlations between them.

1.8 Graphing Points on a Coordinate Plane - By graphing points on a coordinate plane, you can more clearly see the relationship between sets of data or information.


2.1 Understanding Equations and Expressions - Use mathematical reasoning when working with equations and expressions.

2.2 The Distributive Property - The distributive property of multiplication states you can either add everything first and then multiply, or you can multiply each part of the sum first and then add them together.

2.3 Simplifying Expressions - Expressions, or mathematical expressions, are a combination of numbers, symbols, and operations grouped together to show the value of something. Variables are quantities that are unknown, or changeable. They are typically shown by letters such as x, y, z.

2.4 Solving Equations by Adding or Subtracting - Learn how to use different variables to solve algebraic equations using subtraction and addition.

2.5 Solving Equations by Multiplying or Dividing - First, the multiplication property of equality says that if the same nonzero number is multiplied on both sides of the equation, the resulting equation is equivalent to the first one; they have the same solutions.

2.6 Solving Equations with Two Operations - Learn how to solve math equations by using two different questions.

2.7 Solving Word Problems - Solve word problems by writing and solving two-step equations. Use the concept of word problems to solve a real-life problem.

2.8 Solving Problems Using Formulas - A formula is an algebraic equation that shows a specific relationship between one or more variables. Formulas can have one, two, or many variables. They are evaluated by plugging in the values that you know for the unknown variables.

2.9 Area and Perimeter of Rectangles - Define perimeter and area. Solve problems involving the perimeter and area of rectangles. Use the concepts of area and perimeter to solve a real-life problem.

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Example Lecture Videos

Learn the basics of algebra and angles