Integer Operations and Word Problems

This video tutorial covers solving multi-step problems involving the addition and subtraction of integers. It explains the rules for adding and subtracting integers, such as handling positive and negative numbers and using absolute values. The tutorial includes several example problems, such as calculating fish elevation changes, digging below ground level, managing debt, counting coins, and tracking bus passengers. Each example demonstrates how to apply integer operations and problem-solving strategies. The lesson concludes with a transition to the next topic, applying properties to solve problems.

What is the first step in solving a multi-step problem involving integers?

• Write an expression

• Decide which operations are needed

• Check if the answer is reasonable

• Identify important information

When adding a positive and a negative integer, what determines the sign of the result?

• The sign of the integer with the greater absolute value

• The sign of the second integer

• The sign of the first integer

• The sign of the integer with the lesser absolute value

If a fish is 4 feet below sea level and descends 9 feet, then ascends 5 feet, where is it relative to sea level?

• 10 feet above sea level

• 8 feet above sea level

• 10 feet below sea level

• 8 feet below sea level

Bill starts on a 5-foot hill and digs down 20 feet, then another 10 feet. Where is he relative to ground level?

• 25 feet below ground level

• 30 feet below ground level

• 35 feet below ground level

• 15 feet below ground level

What is the result of adding two negative integers?

• A negative integer

• A positive integer

• It depends on the integers

• Zero

Bob owes Sam $30 and borrows $12 more. After paying back $38, how much does he still owe?

• $0

• $8

• $4

• $10

In a video game, Gus finds 60 coins, loses 15, finds 73, and loses 20. How many coins does he have at the end?

• 78 coins

• 88 coins

• 108 coins

• 98 coins

How many passengers are on the bus after the second stop if 8 are on initially, 9 get on at the first stop, and 12 get off at the second stop?

• 11 passengers

• 9 passengers

• 7 passengers

• 5 passengers

What should you do when faced with unnecessary information in a word problem?

• Ignore it and focus on the question

• Use it to check your answer

• Include it in your calculations

• Ask for clarification

What is the importance of identifying whether a number is positive or negative in a problem?

• It determines the final result

• It helps in writing the expression

• It helps in deciding the order of operations

• It is not important