Quick linear equations for busy middle school students

First yard.
Use of Characters 01 Simplify expressions by omitting the multiplication symbol ×!

02 Simplify the equation by omitting the division sign ÷!
03 Express what you don't know in letters and equations
04 Rewrite the omitted symbol before assigning a number to the character

Second yard.
First-order equations and their calculations

05 Let's learn the meaning of polynomials and linear equations.
06 Calculating multiplication and division of linear equations and numbers
07 Addition and subtraction of like terms are done using the distributive law.
08 Addition and subtraction of first-order equations are done by first solving the parentheses.
09 Be careful with parentheses when adding and subtracting complex linear equations.

Third yard.
Solving linear equations

10 Let's learn about equations and equations with equal sign =
11 Always true equality identity!
Find the solution to the equation using the properties of the 12-step equation.
13 Let's learn the meaning of binomial and linear equations.
14 Speed ​​up the solution of linear equations using binomials
If there are parentheses in the 15th linear equation, solve the parentheses first.
16 If the coefficient is a decimal or fraction, convert the coefficient to an integer.
17 Substitute the given year to find the value of the constant a.

Fourth yard.
Application of linear equations

18 Application of linear equations for any number, consecutive numbers, and digits
19 Age, Application of Linear Equations to Deposits
Application of linear equations for 20 quantities or quantities
21. Application of linear equations to figures and work
22 Applications of linear equations for distance, speed, and time (1)
23 Application of linear equations for distance, speed, and time (2)
24 Application of linear equations for concentration
25. Application of linear equations for increase and decrease, cost and list price

Quick Linear Equations for Busy Middle School Students

The first stumbling block in middle school mathematics
Let's solve only 'linear equations'!
Focus on and finish first-order equations in one book!

■ Let's properly grasp 'linear equations', the starting point for middle school dropouts! The first unit that even friends who were good at math in elementary school find difficult is 'linear equations', which are learned in the first semester of the first year of middle school.
I am often overwhelmed by the many unfamiliar terms and letters representing unknowns, and I am especially intimidated by problems on 'applications of linear equations'.
Mathematics is a subject with a strong systematic structure, and many units are connected from the first to third year of middle school.
If you don't have a firm grasp of 'linear equations' in your first year of middle school, you won't be able to solve 'simultaneous equations' in your second year of middle school, let alone 'quadratic equations' in your third year of middle school.
Furthermore, equations are the basis of functions and the cornerstone of higher mathematics, so giving up equations is like giving up mathematics.
Therefore, in order to avoid becoming a failure, it is important to have a firm grasp of the ‘linear equation’ and move on.

■ All of the 'linear equations' are collected in one book!
At specialized middle school math academies, the 'Linear Equations' section of the first semester textbook for the first year of middle school is basically selected and solved several times, and many also hold special lectures on 'Applications of Linear Equations'.
The reason is that the most incorrect answers appear in the 'Linear Equations' section of middle school math.
This book, 'Busy Middle School Linear Equations', is a customized textbook for middle school students who are weak in equations.
The concepts are explained step by step so that you can understand the basics of equations, so you can learn sufficiently on your own.
By understanding the concepts, practicing applying them to each type of problem, and then solving practical problems, you will gain confidence in linear equations after completing this book.

■ You won’t be afraid of ‘application of linear equations’!
Even among friends who are good at calculating linear equations, many find problems using linear equations difficult.
In the 'Application of Linear Equations' type, it is important to develop the ability to understand the problem well and set up the equation accurately.
In this book, you will practice reading long sentences by breaking them up appropriately.
It also helps you understand the context of a sentence before formulating it using tables and figures.
If you understand the principles of setting up equations, you can solve any type of problem.
Additionally, rather than just finding the solution to the equation and ending it, we practice verifying that the calculation results are correct.
If you put the solution you found into a sentence and read it again, you will no longer be afraid of the conjugation type.

■ I can understand it even when I watch it alone! It feels like the teacher is right next to me.
This book contains helpful explanations for each concept, from "Busy Tips" to "Oops! Mistakes" to help you reduce mistakes.
And you can build new concepts on top of the key terms that appear in each concept.
Additionally, hints are provided throughout the book, so even if you solve the problems on your own, you can get the same effect as if the teacher is teaching you face-to-face.

■ Just as snow piles up only when it pours heavily, you need to focus on your studies to build up your skills!
'Busy Middle School Linear Equations' presents a study method that allows you to build skills more effectively while spending the same amount of time.
Steps that require simple practice can be quickly checked and passed over, and steps that require more learning are expanded and structured to allow for sufficient training.
Additionally, it is structured so that you can study intensively in a short period of time by solving 1-2 levels per day within 15-25 days.
If you study intensively, you'll be able to easily understand the overall context, reducing the time it takes to complete a book. Just as snow piles up when it pours down, your skills will gradually build up.
Complete the concepts of linear equations and their applications with 'Busy Middle School Linear Equations'!

■ How to effectively view the "Busy Middle School Math" series
The "Busy Middle School Math" series is designed for completing the basics, supplementing weak areas, and reviewing the material.


1.
Are you new to middle school math? - 'Busy Middle School Math', 'Busy Middle School Geometry' are the easiest middle school math workbooks that will help you build a solid foundation in middle school math.
For each grade, the first semester course consists of two volumes of 'Busy Middle School Calculation', and the second semester course consists of one volume of 'Busy Middle School Geometry'.
[Middle School Math Volume 1 → Middle School Math Volume 2 → Middle School Geometry] Study in this order to complete the basics of middle school math!

2.
If you want to quickly reinforce only your weak areas? - 'Busy Middle School Linear Equations', 'Busy Middle School Linear Functions' If you find linear equations difficult, choose 'Busy Middle School Linear Equations', and if you are stuck on linear functions, choose 'Busy Middle School Linear Functions' and focus on training.
This book covers everything from basic concepts to practical applications, so choose your weak areas and quickly make up for any learning gaps.

3.
Want a complete overview of middle school math? - "Busy Middle School Math Complete Summary," "Busy Middle School Geometry Complete Summary"
This book is a compilation of only the middle school mathematics content needed for advanced mathematics.
This book covers the core concepts of middle school math in a short period of time, so if you're a busy high school freshman, this is a great resource to review before diving into high school math! There's also a comprehensive guide titled "Middle School Geometry: A Guide to High School Math," which covers the geometry area of ​​three years of middle school.