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What is Pre-Algebra?

Written by Medha Pandey

Updated on: 21 Sep 2024

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So you have just completed your elementary schooling and entered middle school – that’s a big change! Did you hear someone talking about Pre-algebra in the math class? If yes, you must be wondering – What’s Pre-Algebra?

Pre-Algebra is a foundational branch of Algebra that prepares you for high school Algebra courses. It focuses on the primary algebraic topics that form the base of Algebra I and Algebra II. In Pre-algebra, you learn to balance equations. You also learn about factors, multiples, numbers, and variables.

In the USA, Pre-Algebra is typically taught in grade 7 or 8. 

But that’s not all about Pre-algebra! In this article, we will cover:

  • Pre-Algebra topics
  • Resources to learn Pre-Algebra
  • Difference between Pre-Algebra and Algebra
  • Importance of learning Pre-Algebra

Pre-Algebra topics

Just as a chef prepares each dish separately for a delicious platter, we tackle math concepts one by one.

You master one topic at a time and move on to the next. Gradually, you cover the entire curriculum. This breakdown facilitates step-wise learning, helping you cover the concepts smoothly.

The topics taught in Pre-Algebra are:

Introduction to Basic Algebra

  • Operations in the correct order
  • Evaluate expressions
  • Identify properties
  • Equations with variables
  • Coordinate system and ordered pairs

Integers

  • Absolute value
  • Adding and subtracting integers
  • Multiplying and dividing with integers

Factors and multiples

  • 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

Equation and inequalities

  • Different ways to solve equations
  • Calculating the area and the perimeter
  • Solving inequalities
  • Understanding inequalities and equations
  • Fundamentals in solving Equations in one or more steps
  • Calculating the circumference of a circle

Exponents and Square Root

  • Fractions
  • Exponents
  • Order of Operations
  • Square root

Ratio and Proportion

  • Ratio
  • Proportion

Differences between Pre-Algebra and Algebra 

Now, you may ask – Why is Pre-Algebra called “Pre” Algebra? Why can’t we just call it Algebra? 

Well, Algebra and Pre-Algebra are not different subjects. However, they do differ based on their level of complexity and the concepts they cover. 

The “Pre” in “Pre-Algebra” denotes that it serves as a preparation for learning Algebra.

The table below shows key differences between Pre-Algebra and Algebra:

Pre-AlgebraAlgebra
Pre-algebra is a foundational math concept and forms the base of Algebra.Algebra is an advanced math concept and builds upon the concepts of Pre-algebra.
Pre-Algebra is the primary branch that helps you understand Algebra I and Algebra II.Algebra is a major branch. Pre-Algebra, Algebra I, and Algebra II are sub-parts of it. 
Pre-algebra is taught in middle school.Algebra is taught over a period of time that stretches from middle school to college. 
Pre-algebra has an intermediate level of difficulty. Algebra has an advanced level of difficulty.
Differences between Pre-Algebra and Algebra

💡Wondering when to take Algebra 1 and Algebra 2? In What Grade Should You Take Algebra 1 and Algebra 2?

Resources to learn Pre-Algebra

Have you ever struggled to understand something taught in class? It happens to all of us! But don’t worry, there’s a solution: using additional learning resources.

Your math teacher will explain Pre-Algebra topics in class. However, it’s helpful to have other reliable resources to reinforce these concepts outside of class. These resources can be especially useful when you’re stuck and need to clear up any confusion.

It’s important to choose resources that match your learning style and academic goals. Here are the reliable resources to help you learn Pre-Algebra:

Free Pre-Algebra Worksheets

Math worksheets are one of the most valuable tools for practicing your math skills. The questions in math worksheets are based on important formulas and concepts of the course. 

Practicing worksheet questions will help you assess your math skills. It will also improve your efficiency in solving problems.

Here are popular websites to find free Pre-Algebra worksheets:

  1. Kuta Software 
  1. Math Worksheets 4 Kids 
  1. Kidsmart Education   

Free online lessons for Pre-Algebra 

Free online lessons allow you simple access to math lessons from anywhere, at any time! They can be available in various formats such as video and audio lessons, or exercises and quizzes. 

Two reliable platforms where you can find free online lessons for Pre-Algebra are

  1. KhanAcademy: For course-specific audio and video lessons.
  1. YouTube: For exploring the course in detail with math experts.

The popular YouTube channels that have videos on Pre-Algebra lessons are

Pre-Algebra books 

If you are more into books, these books can help you read, practice, and understand the concepts of Pre-algebra:

  1. Pre-Algebra by Lynn Marecek
  1. Pre Algebra SE (Glencoe Mathematics)
  1. Pre Algebra by Rusczyk Richard (Author), Patrick David (Author), Boppana Ravi (Author)

Pre-Algebra tutoring

At times you need professional support for your learning. The teachings of the traditional classroom may or may not be sufficient for you. If you need personalized help with your Pre-algebra concepts, homework, and test prep, you can consider these platforms:

  1. Wiingy: For quality and affordable 1-on-1 tutoring, homework help and test-prep with pre-algebra tutors.
  1. Chegg: For homework help.
  1. The Princeton Review: For test prep.

💡Wondering if Algebra is a hard math course? Read – Is Algebra Hard?

Importance of Pre-Algebra in education and career

Now that you’re familiar with the term “Pre-Algebra”, you might be curious about its practical implications. So, what are the advantages of mastering pre-algebra? Why should you learn Pre-Algebra?

Learning Pre-Algebra is important because it:

Builds problem-solving skills

The concepts of Pre-Algebra require you to practice logical reasoning and critical thinking skills. This helps you enhance your overall problem-solving skills.

A study by the National Library of Medicine found that students who learn algebraic thinking early, including pre-algebra, get much better at problem-solving than those who don’t.

Prepares for High school math

Pre-Algebra lays the foundation for learning Algebra I and II – which are important high school math subjects. That means, understanding basic concepts of Algebra is crucial to grasp the advanced concepts.

The study by the University of Central Florida found that students may struggle with success in Algebra 1 due to gaps in mathematical concepts and skills from the seventh-grade curriculum.

Facilitates STEM learning

According to the U.S. Bureau of Labor Statistics, employment in STEM occupations is projected to grow by 8% from 2020 to 2030. That is much faster growth than the average for all occupations.

To secure a good future in the STEM field with competitive salaries, you must do well in math and sciences. Pre-Algebra forms the base of high school and college math.

Mastering concepts of Pre-Algebra can be your first step towards securing a good future in the STEM field. 

🥇Looking for the best tips to learn Algebra? Read: How to Learn Algebra?

Key takeaways on “What is Pre-Algebra?”

Pre-algebra is like the building blocks for high school algebra. It covers basic algebraic concepts that set you up for Algebra I and II. In Pre-Algebra, you learn to balance equations and solve problems related to numbers and variables. 

If you want to get better at Pre-Algebra, there are plenty of learning resources out there. You can use worksheets, online lessons, books, or even get help from pre-algebra tutors.

Learning pre-algebra early on is very helpful. It teaches you problem-solving skills, gets you ready for high school math, and even sets you up for jobs in STEM fields.

📖Recommended Reading:

Frequently Asked Questions (FAQs)

What is taught in Pre-algebra?

Pre-Algebra covers topics like
factors and multiples,
equalities and inequalities,
exponents, integers, and
ratios and proportions.

What are examples of Pre-algebra?

In Pre-Algebra you will come across mathematical problems like: 

Solve the equation for the value of y. 10y + 2 = 3.
Solve the given Pre-algebraic expression for the value of x, 10 – (- 2) = x.

Is Pre-Algebra easy?

Pre-Algebra is a basic branch of Algebra. However, the concepts and formulas are slightly more complex than what you have learned in previous grades. 

Written by

Medha Pandey

Reviewed by

Prerit Jain

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