Subjects

Arithmetic

Equations

One-step equation word problems

Writing Equations for Real-World Situations - Worksheet and Examples

Name: Knowunity
Brand: Knowunity

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Writing Equations for Real-World Situations - Worksheet and Examples

Hayat Demir

@hayatimdembenin_zrxt

3 Followers

A comprehensive guide to writing and solving mathematical equations, focusing on representing real-world situations algebraically and solving various types of equations.

Writing equations to represent situations involves converting word problems into mathematical expressions and equations
Covers essential concepts including numerical equations, algebraic expressions, and geometric relationships
Provides detailed examples of solving addition, subtraction, multiplication, and division equations
Includes step-by-step guidance for analyzing and solving word problems
Emphasizes real-world applications and problem-solving strategies

6/15/2023

296

View

Multiplication & Division Equations

This section covers modeling with multiplication and division.

Example: A cookie recipe problem using the equation 3x = 12, where x represents eggs needed per batch.

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Addition & Subtraction Equations Modeling

This section introduces modeling equations using real-world scenarios.

Example: A puppy weight gain problem is modeled using the equation 6 + x = 14, where x represents the weight gained in ounces.

View

Writing Equations to Represent Situations

This section introduces fundamental concepts about equations and their solutions.

Definition: An equation is a mathematical statement showing that two expressions are equal, which may or may not contain variables.

Vocabulary: A solution is a value that makes an equation true when substituted for the variable.

Example: In the equation x + 4 = 9, x = 5 is the solution because when 5 is substituted for x, the equation becomes true (5 + 4 = 9).

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Solving Geometric Equations

This section connects algebra with geometry.

Vocabulary:

Supplementary angles: Two angles whose measures sum to 180°
Complementary angles: Two angles whose measures sum to 90°

Example: Solving for an unknown angle x when x + 60° = 180°

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Word Problem Solving Steps

This section outlines the systematic approach to solving word problems.

Highlight: The four key steps are:

Analyze Information
Formulate a Plan
Solve
Justify and Evaluate

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Module 11 Introduction

This section marks the beginning of Module 11, setting the foundation for learning about mathematical equations and their applications.

View

Using Addition to Solve Equations

This section explains the addition property of equality.

Definition: The addition property of equality allows adding the same number to both sides of an equation while maintaining equality.

Example: Solving y - 21 = 18 by adding 21 to both sides.

View

Analyzing Word Problems

This section details how to break down word problems effectively.

Example: Analysis of Juanita's scrapbooking problem, identifying key information like work duration and completion rate.

View

Solving Various Types of Equations

This section demonstrates solving different types of equations with detailed examples.

Example:

x + 9 = 15 (Solution: x = 6)
y/4 = 32 (Solution: y = 128)
8x = 72 (Solution: x = 9)
11 = n + 6 (Solution: n = 5)

View

Solving Word Problems

This section demonstrates the complete problem-solving process.

Example: Solving Juanita's scrapbooking rate problem using the equation n/2.5 = 9 to determine if she worked at her average rate.

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.

Download in

Google Play

Download in

App Store

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

4.9+

Average App Rating

13 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

Subjects

Arithmetic

Equations

One-step equation word problems

Writing Equations for Real-World Situations - Worksheet and Examples

Hayat Demir

@hayatimdembenin_zrxt

3 Followers

A comprehensive guide to writing and solving mathematical equations, focusing on representing real-world situations algebraically and solving various types of equations.

Writing equations to represent situations involves converting word problems into mathematical expressions and equations
Covers essential concepts including numerical equations, algebraic expressions, and geometric relationships
Provides detailed examples of solving addition, subtraction, multiplication, and division equations
Includes step-by-step guidance for analyzing and solving word problems
Emphasizes real-world applications and problem-solving strategies

6/15/2023

296

6th

Arithmetic

Multiplication & Division Equations

This section covers modeling with multiplication and division.

Example: A cookie recipe problem using the equation 3x = 12, where x represents eggs needed per batch.

Addition & Subtraction Equations Modeling

This section introduces modeling equations using real-world scenarios.

Example: A puppy weight gain problem is modeled using the equation 6 + x = 14, where x represents the weight gained in ounces.

Writing Equations to Represent Situations

This section introduces fundamental concepts about equations and their solutions.

Definition: An equation is a mathematical statement showing that two expressions are equal, which may or may not contain variables.

Vocabulary: A solution is a value that makes an equation true when substituted for the variable.

Example: In the equation x + 4 = 9, x = 5 is the solution because when 5 is substituted for x, the equation becomes true (5 + 4 = 9).

Solving Geometric Equations

This section connects algebra with geometry.

Vocabulary:

Supplementary angles: Two angles whose measures sum to 180°
Complementary angles: Two angles whose measures sum to 90°

Example: Solving for an unknown angle x when x + 60° = 180°

Word Problem Solving Steps

This section outlines the systematic approach to solving word problems.

Highlight: The four key steps are:

Analyze Information
Formulate a Plan
Solve
Justify and Evaluate

Module 11 Introduction

This section marks the beginning of Module 11, setting the foundation for learning about mathematical equations and their applications.

Using Addition to Solve Equations

This section explains the addition property of equality.

Definition: The addition property of equality allows adding the same number to both sides of an equation while maintaining equality.

Example: Solving y - 21 = 18 by adding 21 to both sides.

Analyzing Word Problems

This section details how to break down word problems effectively.

Example: Analysis of Juanita's scrapbooking problem, identifying key information like work duration and completion rate.

Solving Various Types of Equations

This section demonstrates solving different types of equations with detailed examples.

Example:

x + 9 = 15 (Solution: x = 6)
y/4 = 32 (Solution: y = 128)
8x = 72 (Solution: x = 9)
11 = n + 6 (Solution: n = 5)

Solving Word Problems

This section demonstrates the complete problem-solving process.

Example: Solving Juanita's scrapbooking rate problem using the equation n/2.5 = 9 to determine if she worked at her average rate.

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.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

13 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