Learn Pre-Algebra Online - Free Pre-Algebra Lessons | Alison

Pre-Algebra Mathematics

Learn algebra, integers, equations, fractions, and much more with this free Math course.

Core Maths Skills
Free Course
This free online mathematics course will teach you about the most important basic mathematical principles, from integers and ratios to polynomials and functions. Valuable for a variety of reasons, these very concepts can help you in future hobbies, careers, or even just to discover the joy of learning and solving puzzles for its own sake. Take this free online course today to learn about about pre-algebraic math.
  • Duration

    4-5 Hours
  • Assessment

  • Certification

  • Publisher

    Math Planet





View course modules


The course will first guide you through important areas of Mathematics such as integers and one-step equations. You will then learn about inequalities, graphs, and functions. Basic but important Math principles including percentages and probabilities with then be laid out in simple language. You will also get an introduction to geometry, circle graphs, angles, parallel lines, and right-angled triangles, so that a wide range of future Math lessons will be easier for you. In this section you will also be shown how to measure the area and volume of shapes such as pyramids, prisms, cylinders and cones.

Next, you will learn how to evaluate expressions and identify properties. The course will then guide you through the meaning and calculation of a coordinate system, ordered pairs, and absolute values. Finally, you’ll get an introduction to some more advanced material, such as polynomials, binomials and factorisation, so that you will be more than ready for your future education in Math. To make everything as clear as possible (we know Math can be difficult) each lesson will include theory, examples, and video lessons.

By the end of this course, you will have gained Math skills that can open up a range of careers. You’ll also be much more able to get excellent grades in your next Math exam. Math skills are in great demand from employers around the world, and almost every student needs them. Despite this, very few people have strong Math skills. With this free course, and less than 5 hours of work, you’ll be standing above the crowd. So why wait?! Make Math easier, today.


Start Course Now


Operations in the right order

Evaluate expressions

Identify properties

Equations with variables

Coordinate system and ordered pairs


Absolute value

Adding and subtracting integers

Multiplication and division with integers

Different ways to solve equations

Calculating the area and the perimeter

Solving inequalities

Understanding inequalities and equations

Monomials and adding or subtracting polynomials

Powers and exponents

Multiplying polynomials and binomials

Factorization and prime numbers

Finding the greatest common factor

Finding the least common multiple

Integers and rational numbers

Learn how to estimate calculations

Geometric sequences of numbers

Scientific notation

Fundamentals in solving Equations in one or more steps

Calculating the circumference of a circle

Linear equations in the coordinate plane

The slope of a linear function

Graphing linear inequalities

Solve systems of equations by graphing

Rates and ratios

Proportions and percent

Solving problems with percent

The mean, the median and the mode

Stem-and-Leaf Plots and Box-and-Whiskers Plot

Calculating the outcome

Combinations and permutations

Finding the odds

Probability of events

Circle graphs

Angles and parallel lines


Quadrilaterals, polygons and transformations

Measure areas

Pyramids, prisms, cylinders and cones

Square roots and real numbers

The Pythagorean Theorem



Geometry Fundamental Statements

Learning Outcomes

Upon completion of this course you will know how to apply operations in the right order, evaluate expressions and identify properties.

You will understand the meaning and calculation of a coordinate system, ordered pairs, inequalities, absolute values and how to solve equations in different ways. You will be able to add, subtract, multiply and divide integers. You will know polynomials, binomials and factorisation. You will gain a good knowledge of arithmetic such as integers, rational numbers, geometric sequences of numbers, and scientific notation.

You will be able to calculate the circumference of a circle. You will know different ways that you can represent graphs and functions. You will gain knowledge of ratios and percentages. You will have an understanding of probability and statistics such as mean, median, mode and much more.

You will gain a good knowledge of geometry including circle graphs, angles, parallel lines, triangles, quadrilaterals, polygons and transformations. You will be able to measure the area and volume of shapes such as pyramids, prisms, cylinders and cones.


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.


    Need Some Help?

    What is pre algebra mathematics?
    What are the best free online pre algebra mathematics courses?
    How much does an online pre algebra mathematics course cost?
    New course

    This Course has been revised!

    For a more enjoyable learning experience, we recommend that you study the mobile-friendly republished version of this course.

    Take me to revised course.

    You have received a new notification

    Click here to view them all