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Pre Algebra
Prealgebra is a primary branch of algebra designed to prepare students for a standard high school algebraic course. Students are introduced to integers, fractions, square roots, step equations, linear equations, and decimals and are taught how to solve basic equations using variables. Taking a prealgebra course can give students initial exposure to the fundamentals of algebra and help them perform better in future courses.
1.  What is PreAlgebra? 
2.  PreAlgebra Topics 
3.  Pre Algebra Formulas 
4.  Difference Between Algebra and Pre Algebra 
5.  Pre Algebra Worksheets 
6.  FAQs on PreAlgebra 
What is PreAlgebra?
Prealgebra is a branch of mathematics that deals with the topics to be covered before algebra 1, and algebra 2 to develop the basic understanding in students. The topics in prealgebra consist of factors and multiples, patterns, ratios, percentages, exponents intro, order of operations, variables & expressions, linear equations. Let us discuss these listed topics in detail in our next section
PreAlgebra Topics
Prealgebra is divided into multiple subtopics. There are sevenplus chapters in this branch and each chapter is divided into several subtopics.
Number Theory
 Whole Numbers
 Roman Numerals
 Integers
 Rational Numbers
 Real Numbers
 Pythagorean Theorem
 Absolute Value
Factors and Multiples
Linear Equations
 Algebraic Expressions
 Solving Linear Systems by Substitution
 System of Equations Solver
 Solutions of a Linear Equation
 Variable expressions
 Linear Equations
Ratio and Proportion
Exponents and Square Root
Statistics
Pre Algebra Formulas
Here are a few formulas related to prealgebra which you may feel are handy to have.
 Speed = Distance/Time
 Pythagoras Theorem: c^{2} = a^{2} + b^{2}, where 'c' is the hypotenuse and 'a' and 'b' are two legs of a right triangle.
 Profit = Selling price  Cost price
 Loss = Cost price  Selling price
 Profit percentage = profit/cost price × 100
 Loss percentage = loss/cost price × 100
 Discount = List Price  Selling Price and Discount (%) = (Discount/List Price) × 100
 Slope of a line joining the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is m = (y_{2}_{ } y_{1}) / (x_{2}  x_{1})
 The point slope formula of a line is y  y_{1} = m (x  x_{1})
 Distance between two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is d = √[(x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2}]
Difference Between Algebra and Pre Algebra
Prealgebra and algebra can be distinguished based on the complexity of the topics covered under both branches separately. The following table explains the important differences between prealgebra and algebra.
Prealgebra  Algebra 

Prealgebra introduces you to the primary (grassroots level) concepts of algebra. You learn about variables, functions, and how to use order of operation with an algebraic expression.  Algebra has much more advanced concepts than prealgebra. You learn about laws of exponents, logarithms, fundamental theorems, and complex numbers, conic sections, etc. 
Prealgebra helps students to have the basic command of algebra topics.  Algebra increases the complexity and understanding of the topics learned in prealgebra. 
Prealgebra is essential to understand algebra 1 and algebra 2.  Algebra is a major branch that includes topics of prealgebra, algebra 1, and algebra 2. 
Pre Algebra Worksheets
PreAlgebra worksheets are extremely helpful for students to prepare for higher grade algebra. Below mentioned are few readily downloadable resources for your practice.
Pre Algebra Worksheet  1 

Pre Algebra Worksheet  2 

Pre Algebra Worksheet  3 

Pre Algebra Worksheet  4 
Pre Algebra Examples

Example 1: Using prealgebra basic rules evaluate the expression (7 × (y + 2)), where y = 3.
Solution:
Given, y = 3. Putting the value of y (by substitution property) in (7 × (y + 2)), we get, 7 × (3 + 2) = 7 × 5 = 35.
Answer: 35

Example 2: Solve the given prealgebraic expression for the value of x, 10  ( 2) = x.
Solution:
Given, 10  ( 2) = x. We will simply do the subtraction of the given expression and get the value of x. 10 + 2 is equal to 12, or x = 12.
Therefore, the value of x is 12.
Answer: x = 12

Example 3: Using prealgebra rule solve the equation for the value of y. 10y + 2 = 3.
Solution:
Given, 10y + 2 = 3. We will simplify the given expression and get the value of y. 10y = 1
y = 1/10Therefore, the value of y is 1/10.
Answer: y = 1/10
FAQs on Pre Algebra
Why is PreAlgebra Important?
Prealgebra provides students an opportunity to learn the basics to understand the complexity of algebra. It develops a basic understanding of variables, equations, and exponents along with the knowledge of how to use the order of operations with algebraic expressions.
How Do You Start PreAlgebra for Beginners?
Prealgebra is a building block of mathematics. If you are a beginner you can definitely follow the belowlisted points while practicing prealgebra. These points are:
 One must aware of arithmetic operations.
 Remember PEMDAS or BODMAS.
 Must know how to solve negative numbers.
 Learn the difference between variables, exponents, equations, and coefficients.
 Solve more practice questions.
Is PreAlgebra Harder than Algebra?
As a name described Prealgebra is a primary branch of algebra where all the basic concepts are covered to understand the further complex topics of algebra. It is not at all difficult if learned with the bestsophisticated approach.
What do You Learn in PreAlgebra?
In prealgebra, we learn about the following listed topics.
 Factors
 Multiples
 Prime numbers and Composite numbers
 Prime factorization
 Linear Equations
 Variables, coefficient, degree
 Ratio and Proportion
 Exponents
 Fractions
 Order of Operations
What Comes After PreAlgebra?
After prealgebra, the next subject is algebra 1, algebra 2. These have advanced concepts that require a prerequisite understanding of the concepts covered in prealgebra.
What is the First Thing you Learn in PreAlgebra?
The first thing students learn in algebra 1 is real numbers and their operations. The basic concepts covered under prealgebra form the basis of the advanced algebraic concepts.
What is Standard Form in PreAlgebra?
A standard form in prealgebra is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules.
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