Solving Proportions: Key Concepts and Techniques

In this video, Mr. J explains how to solve proportions using two methods: identifying relationships and cross multiplication. He provides examples for each method, demonstrating how to find unknown values in proportions. The video emphasizes that while relationships can be used when they are straightforward, cross multiplication is a universal method applicable to any proportion. Mr. J guides viewers through step-by-step examples, ensuring a clear understanding of both techniques.

What are the two methods covered in the video for solving proportions?

• Relationships and Cross Multiplication

• Integration and Differentiation

• Addition and Subtraction

• Graphing and Factoring

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

In the proportion 10 to 2 equals 30 to x, what is the value of x?

• 8

• 7

• 6

• 5

Tags

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Which operation can be used to find the relationship between 49 and 7 in the proportion x to 49 equals 4 to 7?

• Multiplication

• Subtraction

• Division

• Addition

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

If 49 divided by 7 equals 7, what is the value of x in the proportion x to 49 equals 4 to 7?

• 24

• 28

• 21

• 32

Tags

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

What is the first step in solving a proportion using cross multiplication?

• Add the ratios

• Subtract the ratios

• Cross multiply the terms

• Divide the terms

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CCSS.6.RP.A.3

In the proportion 3 to 12 equals 5 to x, what is the value of x after cross multiplication?

• 15

• 18

• 20

• 22

Tags

CCSS.6.RP.A.3

What is the result of 33 times 2 in the proportion 33 to x equals 6 to 2?

• 68

• 66

• 64

• 60

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

After cross multiplying 33 times 2 and x times 6, what is the next step to find x?

• Divide both sides by 6

• Subtract the products

• Add the products

• Multiply both sides by 6

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the value of x in the proportion 33 to x equals 6 to 2?

• 11

• 10

• 12

• 9

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.3

Which method can be used for any proportion, regardless of a straightforward relationship?

• Graphing

• Cross Multiplication

• Subtraction

• Addition