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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 2

Introducing Proportional Relationships

Lesson 5: Two Equations for Each Relationship

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar parallelograms with algebraic expressions. Two parallelograms are shown, one with side lengths of 6 and x, and the other with expressions of 3x + 2 and 22. The problem requires setting up a proportion to determine the value of x for which the parallelograms are similar: 6 / 22 = x / (3x + 2). Solving this equation leads to x = 3.

 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 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 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 86--The Rise of the Chinese Yuan Math in the News: Issue 86--The Rise of the Chinese Yuan Math in the News: Issue 86--The Rise of the Chinese Yuan

January 2014. In this issue of Math in the News we look at the foreign exchange market and the rise of the Chinese Yuan. The Yuan has become a significant player in the foreign exchange market and we look at currency exchange, and how to convert from one currency to another by solving a proportion. This issue provides an excellent opportunity to introduce the mathematics of money on the international market.

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 99--What Is Bitcoin? Math in the News: Issue 99--What Is Bitcoin? Math in the News: Issue 99--What Is Bitcoin?

May 2014. In this issue of Math in the News we explore Bitcoin. We look at how it's used for making purchases and how it differs from other currencies. This provides an opportunity to apply the concept of currency exchange.

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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 Applications of Ratios, Proportions, and Percents and 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 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 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 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 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 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.

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 Proportions
Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, 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 04, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, 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 04, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 04, 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 05, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, 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 05, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, 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 05, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 05, 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 06, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, 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 06, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, 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 06, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 06, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, 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 07, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, 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 07, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 07, 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 08, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 08, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 09, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 1 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 2 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, 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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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, Level 3 Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 10, 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 b, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 01, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 01, 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 b, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 01, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, 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 b, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 01, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, 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 b, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 02, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, 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 b, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 02, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, 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 b, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 02, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, 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.

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

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

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Quiz Library

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ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 03, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, 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).

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Quiz Library

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ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, Level 1 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, 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.

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 b, Quiz 04, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, Level 2 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, 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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ary">click on this link.

 Proportions
Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, Level 3 Paper-and-Pencil Quiz: Solving Proportions for b, Quiz 04, 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

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ary">click on this link.

 Proportions