Maximizing Values in Algebra

This video tutorial guides viewers through solving a SAT Math problem involving five unique positive odd integers with a mean of 73. The goal is to find the greatest possible value of the largest integer, X. The tutorial explains the process of calculating the mean, identifying the smallest integers, and solving the equation to find X. The solution involves basic arithmetic operations and logical reasoning to maximize X while keeping other integers as small as possible.

What is the main objective of the SAT Math practice question discussed in the video?

• To find the smallest possible value of X

• To find the greatest possible value of X

• To find the average of even integers

• To find the sum of all integers

Tags

CCSS.7.EE.B.3

How do you calculate the average of five numbers?

• Multiply the numbers and divide by five

• Add the numbers and divide by three

• Add the numbers and divide by five

• Subtract the smallest number from the largest

Which of the following is NOT a strategy to maximize the value of X?

• Use the smallest unique positive odd integers

• Make X as small as possible

• Ensure the sum of integers is minimized

• Make the other integers as small as possible

Tags

CCSS.4.OA.C.5

What are the four smallest unique positive odd integers used in the problem?

• 1, 2, 3, 4

• 3, 5, 7, 9

• 2, 4, 6, 8

• 1, 3, 5, 7

Tags

CCSS.4.OA.C.5

What is the sum of the integers 1, 3, 5, and 7?

• 14

• 15

• 16

• 17

Tags

CCSS.8.EE.C.7B

What operation is performed to clear the fraction in the equation?

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.4.NBT.B.5

What is the result of multiplying 73 by 5 in the equation?

• 350

• 360

• 365

• 370

What is the final step to find the greatest possible value of X?

• Subtract 16 from both sides

• Add 16 to both sides

• Divide both sides by 16

• Multiply both sides by 16

What is the greatest possible value of X?

• 348

• 349

• 346

• 345

How should the final answer be recorded according to the video?

• Write it on a separate sheet

• Bubble it on the answer sheet

• Type it into a calculator

• Memorize it for later