Illustrative Math Alignment: Grade 7 Unit 9

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.

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.

Overview

Overview

This collection of examples on Solving Equations from Media4Math is designed to guide students through solving two-step equations, gradually increasing in complexity to build mastery of this foundational algebraic skill. Each example emphasizes key skills in solving equations, including combining like terms, isolating variables, and maintaining balance within equations. Visual models play a crucial role in this collection, helping students grasp each step more intuitively.

Overview

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.

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.

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

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

Related Resources

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

Related Resources

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.

Related Resources

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.

Related Resources

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

Related Resources

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.

Related Resources

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.

Related Resources

Topic

Equations

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.

Topic

Equations

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.

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.

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.

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.

Topic

Equations

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.

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.

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.

Topic

Equations

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.

Topic

Equations

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.

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.

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.

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.

Topic

Equations

Topic

Equations

Topic

Equations

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.

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.

Topic

Equations

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.

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.

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.