Understanding the Problem and Solving the Equation

The video tutorial explains how to solve a problem involving two numbers where one is a quarter of the other, and their difference is 192. The process involves setting up an equation, solving for the first number, and then finding the second number. The solution is verified by checking the difference between the two numbers.

What is the relationship between the two numbers described in the problem?

• One number is twice the other.

• The numbers are equal.

• One number is half of the other.

• One number is a quarter of the other.

What is the first step in setting up the equation for this problem?

• Multiply both numbers by 4.

• Add the numbers together.

• Subtract the numbers directly.

• Define a variable for the first number.

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CCSS.6.EE.C.9

How do you represent the second number in terms of the first number?

• 1/4 * X

• X - 1/4

• 4 * X

• X + 1/4

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CCSS.2.OA.A.1

What operation is used to find the difference between the two numbers?

• Multiplication

• Subtraction

• Addition

• Division

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CCSS.7.EE.A.1

What is the coefficient of X after combining like terms in the equation?

• 1

• 1/4

• 3/4

• 1/2

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CCSS.6.EE.B.7

What is the reciprocal of 3/4 used in solving the equation?

• 3/4

• 3/2

• 1/3

• 4/3

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CCSS.6.EE.B.7

What is the value of X, the first number, after solving the equation?

• 256

• 64

• 192

• 128

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CCSS.1.NBT.C.4

CCSS.2.NBT.B.5

What is the value of the second number?

• 256

• 64

• 128

• 192

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CCSS.6.EE.B.7

How can you verify that the solution is correct?

• By adding the numbers.

• By checking if their product is 192.

• By dividing the first number by 4.

• By ensuring their difference is 192.

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CCSS.7.EE.B.3

What is the final step to ensure the solution is correct?

• Multiply the numbers together.

• Check the difference between the numbers.

• Recalculate the numbers.

• Divide the first number by the second.

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CCSS.7.EE.B.3