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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 7: More Expressions and Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Examples Math Examples Collection: Equations with Angle Measures

Overview

This collection of examples focuses on Solving Equations Using Angle Measures and Properties, offering a comprehensive set of problems that progressively increase in complexity. The examples cover a range of skills, including applying angle relationships, using geometric properties, and solving multi-step equations.

Solving Multistep Equations, Applications of Angles and Planes, Applications of Quadrilaterals, Applications of Equations and Inequalities and Definition of an Angle
Math Examples Math Examples Collection: Solving Two-Step Equations

Overview

The "Solving Two-Step Equations" collection on Media4Math offers a comprehensive set of 42 math examples designed to enhance students' understanding of this fundamental algebraic concept. This collection is structured to progressively increase in complexity, covering various skills and techniques involved in solving two-step equations.

Solving Two-Step Equations
Math Worksheets Math Worksheet Collection: The Language of Math

Overview

This collection aggregates all the math worksheets around the topic of the Language of Math, or converting words into math expressions. There are a total of 264 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

To download the full set of these resources, click on this link.

 

Place Value, Addition Facts to 25, Addition Facts to 100, Numerical and Algebraic Expressions, Numerical Expressions, Variable Expressions, Fractions and Mixed Numbers, Subtraction Facts to 25 and Subtraction Facts to 100
Math Examples Math Examples Collection: Solving 2-Step Equations

Overview

This collection aggregates all the math examples around the topic of Solving 2-Step Equations. There are a total of 40 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Solving Two-Step Equations
Drag N Drop Math Games Collection: Drag-N-Drop

Overview

This is a collection of all our drag-n-drop math games. There are a total of 34 games. These games cover a variety of different skills. Each comes with a large bank of questions, so each game experience will be different. These games are ideal for practice and review.

 

 

Addition Facts to 25, Counting, Subtraction Facts to 25, Place Value, Polynomial Expressions, Division Expressions and Equations, Point-Slope Form, Slope-Intercept Form, Standard Form, Slope, Applications of Linear Functions, Quadratic Equations and Functions, Data Analysis, Multiplication Expressions and Equations, Solving One-Step Equations, Quadratic Formula, Numerical Expressions, Variable Expressions and Solving Two-Step Equations
Math Examples Math Examples Collection: Equations in One Variable

Overview

This comprehensive collection of examples focuses on Solving Equations with One Variable, offering students a rich resource to develop and refine their algebraic skills. The examples progressively increase in complexity, covering a wide range of techniques and concepts essential for mastering this fundamental area of mathematics.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Integers: Variable Expressions with Integers Closed Captioned Video: Integers: Variable Expressions with Integers Closed Captioned Video: Integers: Variable Expressions with Integers

Video Tutorial: Integers: Variable Expressions with Integers. In this video, students simplify various variable expressions that use integers. A

This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions.

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

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

Numerical Expressions
Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with 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
MATH EXAMPLES--The Language of Math--Numerical Expressions--Addition INSTRUCTIONAL RESOURCE: Math Examples 64 MATH EXAMPLES--The Language of Math--Numerical Expressions--Addition

This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve addition. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Numerical Expressions--Division INSTRUCTIONAL RESOURCE: Math Examples 65 MATH EXAMPLES--The Language of Math--Numerical Expressions--Division

This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve division. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Numerical Expressions--Grouping Symbols INSTRUCTIONAL RESOURCE: Math Examples 66 MATH EXAMPLES--The Language of Math--Numerical Expressions--Grouping Symbols

This set of tutorials provides 32 examples of converting verbal expressions into numerical expressions that involve grouping symbols. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Numerical Expressions--Multiplication INSTRUCTIONAL RESOURCE: Math Examples 67 MATH EXAMPLES--The Language of Math--Numerical Expressions--Multiplication

This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve multiplication. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Numerical Expressions--Subtraction INSTRUCTIONAL RESOURCE: Math Examples 68 MATH EXAMPLES--The Language of Math--Numerical Expressions--Subtraction

This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve subtraction. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Addition INSTRUCTIONAL RESOURCE: Math Examples 69 MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Addition

This set of tutorials provides 32 examples of converting verbal expressions into variable expressions that involve multiplication and addition. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Subtraction INSTRUCTIONAL RESOURCE: Math Examples 70 MATH EXAMPLES--The Language of Math--Variable Expressions--Multiplication and Subtraction

This set of tutorials provides 32 examples of converting verbal expressions into variable expressions that involve multiplication and subtraction. Note: The download is a PPT file. NOTE: The download is a PPT file.

Numerical and Algebraic Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Addition Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Addition Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Addition

In this drag-and-drop game, a verbal expression to a numerical expression with addition. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Division Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Division Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Division

In this drag-and-drop game, match a verbal description of an addition expression with its numerical counterpart.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Grouping Symbols Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Grouping Symbols Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Grouping Symbols

In this drag-and-drop game, a verbal expression to a numerical expression with grouping symbols. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Multiplication Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Multiplication Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Multiplication

In this drag-and-drop game, match a verbal expression to a numerical expression with multiplication. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Subtraction Interactive Math Game--DragNDrop--The Language of Math--Numerical Expressions--Subtraction Interactive Math Game--DragNDrop Math--The Language of Math--Numerical Expressions--Subtraction

In this drag-and-drop game, match a verbal description of a subtraction expression with its numerical counterpart.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Addition Interactive Math Game--DragNDrop--The Language of Math--Variable Expressions--Multiplication and Addition Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Addition

In this drag-and-drop game, a verbal expression to a variable expression with multiplication and addition. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Subtraction Interactive Math Game--DragNDrop--The Language of Math--Variable Expressions--Multiplication and Subtraction Interactive Math Game--DragNDrop Math--The Language of Math--Variable Expressions--Multiplication and Subtraction

In this drag-and-drop game, a verbal expression to a variable expression with multiplication and subtraction. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical Expressions and Variable Expressions
Math Example--Solving Equations--One-Variable Equations: Example 1 Math Example--Solving Equations--One-Variable Equations: Example 1 One-Variable Equations: Example 1

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 10 Math Example--Solving Equations--One-Variable Equations: Example 10 One-Variable Equations: Example 10

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 11 Math Example--Solving Equations--One-Variable Equations: Example 11 One-Variable Equations: Example 11

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 12 Math Example--Solving Equations--One-Variable Equations: Example 12 One-Variable Equations: Example 12

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 13 Math Example--Solving Equations--One-Variable Equations: Example 13 One-Variable Equations: Example 13

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 14 Math Example--Solving Equations--One-Variable Equations: Example 14 One-Variable Equations: Example 14

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 15 Math Example--Solving Equations--One-Variable Equations: Example 15 One-Variable Equations: Example 15

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 16 Math Example--Solving Equations--One-Variable Equations: Example 16 One-Variable Equations: Example 16

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 17 Math Example--Solving Equations--One-Variable Equations: Example 17 One-Variable Equations: Example 17

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 18 Math Example--Solving Equations--One-Variable Equations: Example 18 One-Variable Equations: Example 18

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 19 Math Example--Solving Equations--One-Variable Equations: Example 19 One-Variable Equations: Example 19

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 2 Math Example--Solving Equations--One-Variable Equations: Example 2 One-Variable Equations: Example 2

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 20 Math Example--Solving Equations--One-Variable Equations: Example 20 One-Variable Equations: Example 20

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 21 Math Example--Solving Equations--One-Variable Equations: Example 21 One-Variable Equations: Example 21

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 22 Math Example--Solving Equations--One-Variable Equations: Example 22 One-Variable Equations: Example 22

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 23 Math Example--Solving Equations--One-Variable Equations: Example 23 One-Variable Equations: Example 23

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 24 Math Example--Solving Equations--One-Variable Equations: Example 24 One-Variable Equations: Example 24

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 25 Math Example--Solving Equations--One-Variable Equations: Example 25 One-Variable Equations: Example 25

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 26 Math Example--Solving Equations--One-Variable Equations: Example 26 One-Variable Equations: Example 26

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 27 Math Example--Solving Equations--One-Variable Equations: Example 27 One-Variable Equations: Example 27

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 3 Math Example--Solving Equations--One-Variable Equations: Example 3 One-Variable Equations: Example 3

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 4 Math Example--Solving Equations--One-Variable Equations: Example 4 One-Variable Equations: Example 4

Topic

Equations

Description

This example likely demonstrates solving a more complex one-variable equation. It may involve multiple steps, such as combining like terms, using the distributive property, or dealing with fractions or decimals. The solving process typically includes isolating the variable on one side of the equation by performing inverse operations on both sides. This type of problem enhances students' algebraic manipulation skills and prepares them for more advanced equation solving. The specific solution would involve carefully following the order of operations and checking the final answer by substituting it back into the original equation.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 5 Math Example--Solving Equations--One-Variable Equations: Example 5 One-Variable Equations: Example 5

Topic

Equations

Description

This example likely showcases a more challenging one-variable equation. It may involve variables on both sides of the equation, requiring students to consolidate like terms before solving. The problem might also include parentheses, necessitating the use of the distributive property. Solving this equation would involve carefully balancing operations on both sides, possibly dealing with negative numbers or fractions. This type of problem helps students develop their algebraic reasoning skills and reinforces the importance of maintaining equation balance throughout the solving process.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 6 Math Example--Solving Equations--One-Variable Equations: Example 6 One-Variable Equations: Example 6

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 7 Math Example--Solving Equations--One-Variable Equations: Example 7 One-Variable Equations: Example 7

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 8 Math Example--Solving Equations--One-Variable Equations: Example 8 One-Variable Equations: Example 8

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 9 Math Example--Solving Equations--One-Variable Equations: Example 9 One-Variable Equations: Example 9

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations