Solving Proportions and Equations

The video tutorial explains how to solve proportions using two examples. It begins with an introduction to proportions and the concept of cross products. The first example demonstrates solving a proportion by rewriting a number as a fraction and using cross multiplication. An alternative method using a one-step equation is also shown. The second example follows a similar process, emphasizing the steps of cross multiplication and solving for the variable. The tutorial concludes with a summary of the solutions.

What is the basic principle used to solve proportions?

• Division of ratios

• Subtraction of ratios

• Cross multiplication

• Addition of ratios

In the first example, how is the number 6 initially rewritten?

• As 6 over x

• As 6 over 4

• As 6 over 1

• As x over 4

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CCSS.6.RP.A.3B

What is the result of the cross multiplication in the first example?

• x = 4

• x = 1

• x = 24

• x = 6

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CCSS.3.OA.D.8

Which operation is used in the alternative method to solve the first example?

• Addition

• Subtraction

• Multiplication

• Division

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CCSS.6.EE.B.7

In the alternative method, what do you multiply both sides of the equation by?

• 6

• x

• 4

• 1

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CCSS.6.EE.A.2C

In the second example, how is the number 7 initially rewritten?

• As 1 over 7

• As x over 7

• As 7 over 1

• As 7 over x

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CCSS.6.RP.A.3B

What is the result of the cross multiplication in the second example?

• x = 1

• x = 35

• x = 5

• x = 7

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CCSS.HSA.REI.A.1

What operation is used to solve for x in the second example?

• Division

• Subtraction

• Multiplication

• Addition

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CCSS.8.EE.C.7B

What is the final value of x in the second example?

• 5

• 1

• 7

• 35

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CCSS.7.RP.A.3

What is the key takeaway from the examples provided?

• Subtraction is the best method for solving proportions.

• Proportions can only be solved using addition.

• Cross multiplication is a reliable method for solving proportions.

• Proportions are unsolvable.

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CCSS.7.RP.A.3