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Two-Step Equations Intro

Math Equations: Examples, Formulas, and Solving Tips - Free PDF Included

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Math Equations: Examples, Formulas, and Solving Tips - Free PDF Included
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Shaivi Ramisetti

@shaivi711

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74 Followers

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Subject Expert

A comprehensive guide to solving basic mathematical equations, focusing on mental calculations and fundamental algebraic operations. This guide covers essential equation-solving techniques for addition, subtraction, multiplication, and division operations, with detailed examples and step-by-step solutions.

• The guide introduces fundamental concepts of math equations to solve, including variables, expressions, and solutions
• Demonstrates various methods for solving equations, including mental math, models, and algebraic properties
• Covers essential mathematical properties like inverse operations and equality properties
• Includes real-world application problems to reinforce learning
• Provides detailed examples of mental math techniques and symbolic solving methods

5/10/2023

166

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Mental Math Solutions

This section focuses on solving equations through mental calculation strategies and verification methods.

Example: When solving 4 + b = 10, students learn to test different values (5, 6, 7) to find the correct solution.

Highlight: Mental math strategies involve thinking about what number, when combined with the given operation, yields the desired result.

Example: For m - 5 = 2, students think "what number minus 5 equals 2?" to arrive at 7 as the solution.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Addition Equations and Properties

This section covers solving addition equations using models and the subtraction property of equality.

Definition: Inverse operations are operations that undo each other, like addition and subtraction.

Vocabulary: The subtraction property states that subtracting the same number from both sides of an equation maintains equality.

Example: Solving x + 4 = 5 using both physical models (counters) and algebraic methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Word Problem Applications

This section demonstrates practical applications of addition equations through word problems.

Example: A swimming problem where Julie swam 575 meters, which was 150 meters more than Len, is solved using the equation L + 150 = 575.

Highlight: The solution process includes setting up the equation, solving algebraically, and verifying the answer.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Subtraction Equations

Focuses on solving subtraction equations using the addition property of equality.

Definition: The addition property of equality states that adding the same number to both sides of an equation maintains equality.

Example: Solving x - 5 = 10 using both modeling and symbolic methods.

Highlight: Solutions can be verified by substituting the answer back into the original equation.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Financial Applications

This section applies subtraction equations to real-world financial scenarios.

Example: Calculating an initial bank balance after a $50 withdrawal results in $124, using the equation I - 50 = 124.

Highlight: The solution process emphasizes practical application of mathematical concepts.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Multiplication Equations

Covers solving multiplication equations using division and bar diagrams.

Definition: The division property of equality states that dividing both sides by the same non-zero number maintains equality.

Example: Solving 6x = 18 using division and verification methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Practical Multiplication Problems

Demonstrates real-world applications of multiplication equations.

Example: A baking problem where 4 cups of flour makes 2 loaves of bread is solved using the equation 2f = 4.

Highlight: Bar diagrams help visualize and solve multiplication problems.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Division Equations

Explores solving division equations using the multiplication property of equality.

Definition: The multiplication property of equality states that multiplying both sides by the same non-zero number maintains equality.

Example: Solving p/7 = 5 using both modeling and symbolic methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Applied Division Problems

Concludes with practical applications of division equations.

Example: Finding the total number of sixth-grade students when one-fourth participate in after-school sports.

Highlight: Real-world problems help students understand practical applications of division equations.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

View

Introduction to Equations

This chapter introduces the fundamentals of solving equations and determining equality between expressions. The focus is on developing mental math skills for basic operations.

Definition: An equation is a mathematical sentence showing two expressions are equal, containing an equal sign.

Example: In the equation 5 + y = 21, students learn to identify components and solve for the variable.

Vocabulary: An expression is a combination of numbers and operations which might contain variables (e.g., 5 + y - 14).

Highlight: The solution to an equation is the value that makes the equation true when substituted for the variable.

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7th grade math notes

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

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Download in

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Knowunity is the # 1 ranked education app in five European countries

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Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

/

Arithmetic

/

Two-Step Equations

/

Two-Step Equations Intro

Math Equations: Examples, Formulas, and Solving Tips - Free PDF Included

user profile picture

Shaivi Ramisetti

@shaivi711

·

74 Followers

Follow

A comprehensive guide to solving basic mathematical equations, focusing on mental calculations and fundamental algebraic operations. This guide covers essential equation-solving techniques for addition, subtraction, multiplication, and division operations, with detailed examples and step-by-step solutions.

• The guide introduces fundamental concepts of math equations to solve, including variables, expressions, and solutions
• Demonstrates various methods for solving equations, including mental math, models, and algebraic properties
• Covers essential mathematical properties like inverse operations and equality properties
• Includes real-world application problems to reinforce learning
• Provides detailed examples of mental math techniques and symbolic solving methods

5/10/2023

166

 

7th

 

Arithmetic

26

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Mental Math Solutions

This section focuses on solving equations through mental calculation strategies and verification methods.

Example: When solving 4 + b = 10, students learn to test different values (5, 6, 7) to find the correct solution.

Highlight: Mental math strategies involve thinking about what number, when combined with the given operation, yields the desired result.

Example: For m - 5 = 2, students think "what number minus 5 equals 2?" to arrive at 7 as the solution.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Addition Equations and Properties

This section covers solving addition equations using models and the subtraction property of equality.

Definition: Inverse operations are operations that undo each other, like addition and subtraction.

Vocabulary: The subtraction property states that subtracting the same number from both sides of an equation maintains equality.

Example: Solving x + 4 = 5 using both physical models (counters) and algebraic methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Word Problem Applications

This section demonstrates practical applications of addition equations through word problems.

Example: A swimming problem where Julie swam 575 meters, which was 150 meters more than Len, is solved using the equation L + 150 = 575.

Highlight: The solution process includes setting up the equation, solving algebraically, and verifying the answer.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Subtraction Equations

Focuses on solving subtraction equations using the addition property of equality.

Definition: The addition property of equality states that adding the same number to both sides of an equation maintains equality.

Example: Solving x - 5 = 10 using both modeling and symbolic methods.

Highlight: Solutions can be verified by substituting the answer back into the original equation.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Financial Applications

This section applies subtraction equations to real-world financial scenarios.

Example: Calculating an initial bank balance after a $50 withdrawal results in $124, using the equation I - 50 = 124.

Highlight: The solution process emphasizes practical application of mathematical concepts.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Multiplication Equations

Covers solving multiplication equations using division and bar diagrams.

Definition: The division property of equality states that dividing both sides by the same non-zero number maintains equality.

Example: Solving 6x = 18 using division and verification methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Practical Multiplication Problems

Demonstrates real-world applications of multiplication equations.

Example: A baking problem where 4 cups of flour makes 2 loaves of bread is solved using the equation 2f = 4.

Highlight: Bar diagrams help visualize and solve multiplication problems.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Division Equations

Explores solving division equations using the multiplication property of equality.

Definition: The multiplication property of equality states that multiplying both sides by the same non-zero number maintains equality.

Example: Solving p/7 = 5 using both modeling and symbolic methods.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Applied Division Problems

Concludes with practical applications of division equations.

Example: Finding the total number of sixth-grade students when one-fourth participate in after-school sports.

Highlight: Real-world problems help students understand practical applications of division equations.

<p>In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows t

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Introduction to Equations

This chapter introduces the fundamentals of solving equations and determining equality between expressions. The focus is on developing mental math skills for basic operations.

Definition: An equation is a mathematical sentence showing two expressions are equal, containing an equal sign.

Example: In the equation 5 + y = 21, students learn to identify components and solve for the variable.

Vocabulary: An expression is a combination of numbers and operations which might contain variables (e.g., 5 + y - 14).

Highlight: The solution to an equation is the value that makes the equation true when substituted for the variable.

Similar Content

Arithmetic - 7th grade math notes

solving two step equations

82

747

1

Know 7th grade math notes thumbnail

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

17 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying