Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 4: Comparing Proportional Relationships

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for c in a proportion where a = 9, b = 4, and d = 12. We set up the proportion 9 / 4 = c / 12 and solve for c, resulting in c = 27. This problem shows how to find an unknown value in the numerator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for c in a proportion where a = 9, b = 4, and d = 12. We set up the proportion 9 / 4 = c / 12 and solve for c, resulting in c = 27. This problem shows how to find an unknown value in the numerator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for c in a proportion where a = 8, b = 3, and d is expressed as x + 3. We set up the equation 8 / 3 = c / (x + 3) and solve for c, resulting in the expression c = (8(x + 3)) / 3. This problem demonstrates how to handle algebraic expressions in the denominator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for c in a proportion where a = 8, b = 3, and d is expressed as x + 3. We set up the equation 8 / 3 = c / (x + 3) and solve for c, resulting in the expression c = (8(x + 3)) / 3. This problem demonstrates how to handle algebraic expressions in the denominator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for d in a proportion where a = 12, b = 5, and c = 48. We set up the proportion 12 / 5 = 48 / d and solve for d, resulting in d = 20. This problem shows how to find an unknown value in the denominator of a proportion when all other values are known.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for d in a proportion where a = 12, b = 5, and c = 48. We set up the proportion 12 / 5 = 48 / d and solve for d, resulting in d = 20. This problem shows how to find an unknown value in the denominator of a proportion when all other values are known.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for d in a proportion where a = 11, b = 5, and c is expressed as x - 4. We set up the equation 11 / 5 = (x - 4) / d and solve for d, resulting in the expression d = (5(x - 4)) / 11. This problem demonstrates how to handle algebraic expressions in the numerator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for d in a proportion where a = 11, b = 5, and c is expressed as x - 4. We set up the equation 11 / 5 = (x - 4) / d and solve for d, resulting in the expression d = (5(x - 4)) / 11. This problem demonstrates how to handle algebraic expressions in the numerator of a proportion.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar triangles. Two triangles are shown, with one having sides of 3 and 4, and the other having sides of 6 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 3 / 4 = 6 / x. Solving this equation leads to x = 8.

 Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar triangles. Two triangles are shown, with one having sides of 3 and 4, and the other having sides of 6 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 3 / 4 = 6 / x. Solving this equation leads to x = 8.

 Proportions
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

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 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Data Analysis
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1

This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1

This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1

This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1

This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format.

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).

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 02, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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).

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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).

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 03, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Proportions