Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 9: Dealing with Negative Numbers

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--RationalNumbersVideoThumbnail07.jpg Video Tutorial: Rational Numbers: Video 7 Video Tutorial: Rational Numbers: Subtracting Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
VideoTutorial--RationalNumbersVideoThumbnail08.jpg Video Tutorial: Rational Numbers: Video 8 Video Tutorial: Rational Numbers: Multiplying Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
VideoTutorial--RationalNumbersVideoThumbnail09.jpg Video Tutorial: Rational Numbers: Video 9 Video Tutorial: Rational Numbers: Dividing Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
VideoTutorial--2StepMultAdd.jpg Video Tutorial: Two-Step Equations, Video 1 Video Tutorial: Two-Step Equations, Video 1

Topic

Solving Equations

Description

This video introduces solving two-step equations involving multiplication and addition. Key concepts include using inverse operations like division and subtraction to isolate the variable. Vocabulary includes variable, equation, inverse operations, multiplication, and addition. Applications include basic algebra.

Solving Two-Step Equations
VideoTutorial--2StepMultSubt.jpg Video Tutorial: Two-Step Equations, Video 2 Video Tutorial: Two-Step Equations, Video 2

Topic

Solving Equations

Description

The video explains solving two-step equations that involve multiplication and subtraction. It emphasizes the use of inverse operations such as division and addition. Key terms are variable, equation, inverse operations, multiplication, and subtraction. Algebraic applications are highlighted.

Solving Two-Step Equations
VideoTutorial--2StepDivAdd.jpg Video Tutorial: Two-Step Equations, Video 3 Video Tutorial: Two-Step Equations, Video 3

Topic

Solving Equations

Description

The tutorial covers solving two-step equations involving division and addition. It focuses on isolating the variable using inverse operations like multiplication and subtraction. Vocabulary includes variable, equation, inverse operations, division, and addition. Applications are centered on algebraic problem-solving.

Solving Two-Step Equations
VideoTutorial--2StepDivSubt.jpg Video Tutorial: Two-Step Equations, Video 4 Video Tutorial: Two-Step Equations, Video 4

Topic

Solving Equations

Description

This video addresses solving two-step equations involving division and subtraction. It demonstrates applying inverse operations, specifically multiplication and addition, to isolate the variable. Terms such as variable, equation, inverse operations, division, and subtraction are emphasized. Algebraic uses are discussed.

Solving Two-Step Equations
Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation?

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

Applications of Equations and Inequalities
VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss VIDEO: Algebra Applications: Systems of Equations, 1 VIDEO: Algebra Applications: Systems of Equations, 1

Topic

Systems of Equations

Description

Description: Explores profit and loss through linear functions, focusing on break-even points and business profitability using TI-Nspire for visualizations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption VIDEO: Algebra Applications: Systems of Equations, 2 VIDEO: Algebra Applications: Systems of Equations, 2

Topic

Systems of Equations

Description

Description: Discusses encryption using linear systems, demonstrating substitution ciphers and matrix-based encoding for secure communication.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles VIDEO: Algebra Applications: Systems of Equations, 3 VIDEO: Algebra Applications: Systems of Equations, 3

Topic

Systems of Equations

Description

Description: Analyzes ballistic missile interception through quadratic systems, graphing missile paths and their intersection as solutions to equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Variables and Equations, Segment 1: Introduction. VIDEO: Algebra Applications: Variables and Equations, 1 VIDEO: Algebra Applications: Variables and Equations, 1

Topic

Equations

Description

The video introduces algebraic expressions and their ability to represent both known and unknown quantities. It defines variables as placeholders for unknowns and explains equations as relationships between two expressions. Key concepts include solving for variables and understanding the role of variables in equations. Key vocabulary includes variable, unknown quantity, and equation. The applications discussed include investigations into real-world scenarios such as honeybee populations and river geology.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Applications: Variables and Equations, Segment 2: Honey Production. VIDEO: Algebra Applications: Variables and Equations, 2 VIDEO: Algebra Applications: Variables and Equations, 2

Topic

Equations

Description

This segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, 3

Topic

Equations

Description

The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1

Topic

Systems of Equations

Description

This video introduces systems of equations, solving them graphically, numerically, and with TI-Nspire. Key topics include slope-intercept and standard forms, intersections of lines, and linear systems applications. Examples range from rental car cost comparisons to cell phone plans. The video emphasizes efficient problem-solving methods and practical interpretation of solutions.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, 2

Topic

Systems of Equations

Description

In this Math Lab explore profit and loss graphs of linear functions.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, 3

Topic

Systems of Equations

Description

The focus is on advanced methods for solving systems of equations, including nSolve and matrix row reduction (RREF). Practical examples such as ticket sales for a school play are used. Key vocabulary includes augmented matrix, consistency, and dependent systems. Applications extend to real-world decision-making and deeper algebraic understanding.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, 4

Topic

Systems of Equations

Description

In this Math Lab explore non-linear systems.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Variables and Equations, Segment 1 VIDEO: Algebra Nspirations: Variables and Equations, 1 VIDEO: Algebra Nspirations: Variables and Equations, 1

Topic

Equations

Description

This video covers the historical evolution of equations, the role of variables, constants, and parameters, and introduces linear and quadratic equations. Key vocabulary includes symbolic algebra, parameter, variable, and constants. Real-world applications are introduced through general problem-solving using linear equations, like solving for unknowns in financial contexts.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 VIDEO: Algebra Nspirations: Variables and Equations, 2 VIDEO: Algebra Nspirations: Variables and Equations, 2

Topic

Equations

Description

In this Math Lab explore the linear relationship between the circumference and diameter of a circle.

Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 3 VIDEO: Algebra Nspirations: Variables and Equations, 3 VIDEO: Algebra Nspirations: Variables and Equations, 3

Topic

Equations

Description

Expanding on Part 1, this video demonstrates solving linear equations algebraically and dynamically using TI-Nspire technology. Applications include walk-a-thons and bike-a-thons, illustrating linear relationships in practical contexts. Key vocabulary includes linear equation, function, and symbolic representation.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 4 VIDEO: Algebra Nspirations: Variables and Equations, 4 VIDEO: Algebra Nspirations: Variables and Equations, 4

Topic

Equations

Description

In this Math Lab, use a visual model to find the square of a binomial.

Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO, Brief Review, Multiplying Rational Numbers VIDEO: Brief Review, Video 11 VIDEO: Brief Review: Multiplying Rational Numbers

Watch this video about rational numbers. (The transcript is included.)

Video Transcript

 

In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers.

Let’s start with an example.

Numerical Expressions
VIDEO: Brief Review: Dividing Rational Numbers VIDEO: Brief Review, Video 12 VIDEO: Brief Review: Dividing Rational Numbers

Watch this video about rational numbers. (The transcript is included.)

Video Transcript

 

In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers.

Let’s start with an example.

Numerical Expressions
VIDEO: Brief Review: Applications of Rational Numbers VIDEO: Brief Review, Video 13 VIDEO: Brief Review: Applications of Rational Numbers

Watch this video about rational numbers. (The transcript is included.)

Video Transcript

 

In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers.

Let’s start with an example.

Numerical Expressions
VIDEO: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions VIDEO: Ti-Nspire Mini-Tutorial, Video 28 VIDEO: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to multiply rational expressions. This video supports the TI-Nspire Clickpad and Touchpad.

Rational Expressions
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 1 Worksheet: Checking Equations, Worksheet 1

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 2 Worksheet: Checking Equations, Worksheet 2

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 3 Worksheet: Checking Equations, Worksheet 3

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 4 Worksheet: Checking Equations, Worksheet 4

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 5 Worksheet: Checking Equations, Worksheet 5

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Point-Slope Form
Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Standard Form
Worksheet: Modeling Equations Worksheet: Modeling Equations Worksheet: Modeling Equations

Given a visual model, students write the corresponding addition equation.

Note: The download is a PDF file.

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Worksheet Library

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Addition Expressions and Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 18 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 18 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 18

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 19 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 19 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 19

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 2 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 2 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 2

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Solving One-Step Equations