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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 12: Solving Problems about Percent Increase or Decrease

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation 2x - (-2) = -4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, converting subtraction of a negative into addition, and creating zero pairs to isolate the variable.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation -x + 1 = 4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, creating zero pairs, and replacing each side with corresponding opposite tiles.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation -x - 1 = 4. The tiles are manipulated to find the solution x = -5. In this example, the process involves modeling tiles on both sides of the equals sign, converting subtraction into addition of a negative, creating zero pairs, and replacing each side with corresponding opposite tiles.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows a visual representation of solving the equation -2x + 1 = 5 using algebra tiles. The tiles are arranged to show steps: modeling both sides, creating zero pairs, and replacing with opposite tiles to solve for x = -2. This process illustrates the importance of maintaining balance in equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 1 Math Example: Solving Two-Step Equations: Example 1 Math Example: Solving Two-Step Equations: Example 1

Topic

Solving Equations

Description

This example demonstrates how to solve the two-step equation 2x + 4 = x + 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = 6.

Solving two-step equations is a fundamental skill in algebra. These equations typically involve two operations to isolate the variable, such as addition/subtraction and multiplication/division. This collection of examples helps teach this topic by presenting a variety of equation types, allowing students to recognize patterns and develop problem-solving strategies.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 10 Math Example: Solving Two-Step Equations: Example 10 Math Example: Solving Two-Step Equations: Example 10

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x - 2) = 15. The solution process involves first dividing both sides of the equation by 3, then adding 2 to both sides to isolate the variable. Through these steps, we find that x = 7.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 11 Math Example: Solving Two-Step Equations: Example 11 Math Example: Solving Two-Step Equations: Example 11

Topic

Solving Equations

Description

This example demonstrates solving the equation 14(15x) = 280. The solution process involves dividing both sides of the equation by 14, then dividing by 15 to isolate the variable. Through these steps, we find that x = 1 1/3.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 12 Math Example: Solving Two-Step Equations: Example 12 Math Example: Solving Two-Step Equations: Example 12

Topic

Solving Equations

Description

This example demonstrates solving the equation 12(x/5) = 144. The solution process involves dividing both sides of the equation by 12, then multiplying by 5 to isolate the variable. Through these steps, we find that x = 60.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 13 Math Example: Solving Two-Step Equations: Example 13 Math Example: Solving Two-Step Equations: Example 13

Topic

Solving Equations

Description

This example demonstrates solving the equation (x + 4) / 5 = 12. The solution process involves multiplying both sides of the equation by 5, then subtracting 4 from both sides to isolate the variable. Through these steps, we find that x = 56.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 14 Math Example: Solving Two-Step Equations: Example 14 Math Example: Solving Two-Step Equations: Example 14

Topic

Solving Equations

Description

This example demonstrates solving the equation (x - 4) / 5 = 12. The solution process involves multiplying both sides of the equation by 5, then adding 4 to both sides to isolate the variable. Through these steps, we find that x = 64.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 15 Math Example: Solving Two-Step Equations: Example 15 Math Example: Solving Two-Step Equations: Example 15

Topic

Solving Equations

Description

This example demonstrates solving the equation (2/3)x = 50. The solution process involves multiplying both sides of the equation by 3, then dividing both sides by 2 to isolate the variable. Through these steps, we find that x = 75.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 16 Math Example: Solving Two-Step Equations: Example 16 Solving Two-Step Equations: Example 16

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation ( x / 4 ) / 5 = 30. The solution involves multiplying both sides by 5, then multiplying by 4 to isolate x. The final result is x = 600.

Solving two-step equations is a fundamental skill in algebra. This collection of examples helps teach this topic by presenting various equation formats, including fractions and negative numbers. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve different types of two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 17 Math Example: Solving Two-Step Equations: Example 17 Solving Two-Step Equations: Example 17

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = x + 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = 14.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 18 Math Example: Solving Two-Step Equations: Example 18 Solving Two-Step Equations: Example 18

Topic

Solving Equations

Description

This math example demonstrates the process of solving the equation 2x + ( -4 ) = x - 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = -6.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 19 Math Example: Solving Two-Step Equations: Example 19 Solving Two-Step Equations: Example 19

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then dividing by 2 to isolate x. After performing these operations, we find that x = 6.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 2 Math Example: Solving Two-Step Equations: Example 2 Math Example: Solving Two-Step Equations: Example 2

Topic

Solving Equations

Description

In this example, we solve the equation 2x + 4 = x - 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides. Through these steps, we find that x = -14.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 20 Math Example: Solving Two-Step Equations: Example 20 Solving Two-Step Equations: Example 20

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation x / 2 + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then multiplying by 2 to isolate x. After performing these operations, we find that x = 24.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 21 Math Example: Solving Two-Step Equations: Example 21 Math Example: Solving Two-Step Equations: Example 21

Topic

Solving Equations

Description

This math example demonstrates solving the equation 2x - (-3) = x + 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = 1. This example showcases the process of solving a two-step equation with negative numbers.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 22 Math Example: Solving Two-Step Equations: Example 22 Math Example: Solving Two-Step Equations: Example 22

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x - (-3) = x - 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = -7. This example demonstrates how to handle negative numbers and subtraction in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 23 Math Example: Solving Two-Step Equations: Example 23 Math Example: Solving Two-Step Equations: Example 23

Topic

Solving Equations

Description

This math example demonstrates solving the equation 5x - (-7) = 18. The solution involves adding -7 to both sides and then dividing by 5 to isolate the variable x. The final result is x = 2 1/5 or 2.2. This example showcases how to handle negative numbers and fractions in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 24 Math Example: Solving Two-Step Equations: Example 24 Math Example: Solving Two-Step Equations: Example 24

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x/2 - (-4) = 8. The solution involves adding -4 to both sides and then multiplying by 2 to isolate the variable x. The final result is x = 8. This example demonstrates how to handle fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 25 Math Example: Solving Two-Step Equations: Example 25 Math Example: Solving Two-Step Equations: Example 25

Topic

Solving Equations

Description

This math example demonstrates solving the equation 3(x + (-2)) = 12. The solution involves first dividing both sides by 3 to isolate the expression x + (-2), then adding 2 to both sides to isolate x. The final result is x = 6. This example showcases how to handle parentheses and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 26 Math Example: Solving Two-Step Equations: Example 26 Math Example: Solving Two-Step Equations: Example 26

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 3(x - (-2)) = 15. The solution involves first dividing both sides by 3 to isolate the expression x - (-2), then subtracting 2 from both sides to isolate x. The final result is x = 3. This example demonstrates how to handle parentheses and double negatives in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 27 Math Example: Solving Two-Step Equations: Example 27 Math Example: Solving Two-Step Equations: Example 27

Topic

Solving Equations

Description

This math example demonstrates solving the equation 14(-15x) = 280. The solution involves first dividing both sides by 14 to isolate the expression -15x, then dividing by -15 to isolate x. The final result is x = -1/3. This example showcases how to handle multiplication with negative numbers and fractions in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 28 Math Example: Solving Two-Step Equations: Example 28 Math Example: Solving Two-Step Equations: Example 28

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 12(x/-5) = 144. The solution involves first dividing both sides by 12 to isolate the expression x/-5, then multiplying by 5 to isolate x. The final result is x = -60. This example demonstrates how to handle fractions and multiplication in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 29 Math Example: Solving Two-Step Equations: Example 29 Math Example: Solving Two-Step Equations: Example 29

Topic

Solving Equations

Description

This math example demonstrates solving the equation (x + (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x + (-4), then adding 4 to isolate x. The final result is x = 64. This example showcases how to handle fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 3 Math Example: Solving Two-Step Equations: Example 3 Math Example: Solving Two-Step Equations: Example 3

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then dividing both sides by 2. Through these steps, we find that x = 2.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 30 Math Example: Solving Two-Step Equations: Example 30 Math Example: Solving Two-Step Equations: Example 30

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation (x - (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x - (-4), then subtracting -4 to isolate x. The final result is x = 56. This example demonstrates how to handle fractions and double negatives in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 31 Math Example: Solving Two-Step Equations: Example 31 Math Example: Solving Two-Step Equations: Example 31

Topic

Solving Equations

Description

This math example demonstrates solving the equation (2/3)x = -50. The solution involves first multiplying both sides by 3 to eliminate the fraction, then dividing by 2 to isolate x. The final result is x = -75. This example showcases how to handle fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 32 Math Example: Solving Two-Step Equations: Example 32 Math Example: Solving Two-Step Equations: Example 32

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x / (4/5) = -30. The solution involves first multiplying both sides by 5 to eliminate the fraction in the denominator, then dividing by 4 to isolate x. The final result is x = -600. This example demonstrates how to handle complex fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 4 Math Example: Solving Two-Step Equations: Example 4 Math Example: Solving Two-Step Equations: Example 4

Topic

Solving Equations

Description

This example demonstrates solving the equation x/2 + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then multiplying both sides by 2. Through these steps, we find that x = 8.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 5 Math Example: Solving Two-Step Equations: Example 5 Math Example: Solving Two-Step Equations: Example 5

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x + 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = 7.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 6 Math Example: Solving Two-Step Equations: Example 6 Math Example: Solving Two-Step Equations: Example 6

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x - 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = -1.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 7 Math Example: Solving Two-Step Equations: Example 7 Math Example: Solving Two-Step Equations: Example 7

Topic

Solving Equations

Description

This example demonstrates solving the equation 5x - 7 = 18. The solution process involves adding 7 to both sides of the equation, then dividing both sides by 5 to isolate the variable. Through these steps, we find that x = 5.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 8 Math Example: Solving Two-Step Equations: Example 8 Math Example: Solving Two-Step Equations: Example 8

Topic

Solving Equations

Description

This example demonstrates solving the equation (x/2) - 4 = 8. The solution process involves adding 4 to both sides of the equation, then multiplying both sides by 2 to isolate the variable. Through these steps, we find that x = 24.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 9 Math Example: Solving Two-Step Equations: Example 9 Math Example: Solving Two-Step Equations: Example 9

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x + 2) = 12. The solution process involves first dividing both sides of the equation by 3, then subtracting 2 from both sides to isolate the variable. Through these steps, we find that x = 2.

Solving Two-Step Equations
MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents

What Are Percents?

Percents Are a Type of Fraction
Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy)

This is part of a collection of math quizzes on the topic of Equations with Percents.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard)

This is part of a collection of math quizzes on the topic of Equations with Percents.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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

Quiz Library

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ary">click on this link.

Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium)

This is part of a collection of math quizzes on the topic of Equations with Percents.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

Solving Percent Equations
Video Definition 26--Fraction Concepts--Percent Video Definition 26--Fraction Concepts--Percent Video Definition 26--Fraction Concepts--Percent

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 27--Fraction Concepts--Percent Error Video Definition 27--Fraction Concepts--Percent Error Video Definition 27--Fraction Concepts--Percent Error

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 28--Fraction Concepts--Percentage Video Definition 28--Fraction Concepts--Percentage Video Definition 28--Fraction Concepts--Percentage

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 29--Fraction Concepts--Percentage Decrease Video Definition 29--Fraction Concepts--Percentage Decrease Video Definition 29--Fraction Concepts--Percentage Decrease

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 30--Fraction Concepts--Percentage Increase Video Definition 30--Fraction Concepts--Percentage Increase Video Definition 30--Fraction Concepts--Percentage Increase

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Transcript: Percents: Applications of Percent -- Grade Video Transcript: Percents: Applications of Percent -- Grade Video Transcript: Percents: Applications of Percent -- Grade

This is the transcript that goes with the video segment entitled Video: Percents: Applications of Percent -- Grade.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Video Library

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Percents
Video Transcript: Percents: Calculating Commissions and Tips Video Transcript: Percents: Calculating Commissions and Tips Video Transcript: Percents: Calculating Commissions and Tips

This is the transcript that goes with the video segment entitled Video: Percents: Calculating Commissions and Tips.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Video Library

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Percents
Video Transcript: Percents: Calculating Tax Video Transcript: Percents: Calculating Tax Video Transcript: Percents: Calculating Tax

This is the transcript that goes with the video segment entitled Video: Percents: Calculating Tax.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Video Library

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Percents
Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent

This is the transcript that goes with the video segment entitled Video: Percents: Calculating the Whole Given a Percent.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents

This is the transcript that goes with the video segment entitled Video: Percents: Estimating Percents.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents