Integer Operations and Word Problems

The 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. Several example problems are presented, including scenarios involving fish elevation, digging, debt repayment, gold coins, and bus passengers. Each example demonstrates how to apply integer operations to solve real-world problems. The lesson concludes with a summary and a preview of the next topic.

What is the result when you add two positive integers?

• The result is always negative.

• The result is always zero.

• The result is always positive.

• The result depends on the integers.

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

• Write the final answer.

• Identify important information.

• Check if the answer is reasonable.

• Subtract the integers.

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

• The sign of the first integer.

• The sign of the last integer.

• The sign is always positive.

• The sign of the integer with the greater absolute value.

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

• 6 feet below sea level

• 4 feet below sea level

• 2 feet below sea level

• 8 feet below sea level

What happens when you subtract a negative integer?

• It becomes a positive addition.

• It remains a negative subtraction.

• It becomes zero.

• It becomes a negative addition.

In the context of integer operations, what does 'ascend' mean?

• To go up

• To go down

• To stay the same

• To multiply

Bill starts on a 5-foot hill and digs down 30 feet in total. Where is he relative to ground level?

• 20 feet below ground level

• 30 feet below ground level

• 5 feet below ground level

• 25 feet below ground level

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

• $2

• $8

• $4

• $0

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

• 98 coins

• 118 coins

• 78 coins

• 88 coins

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

• 5 passengers

• 7 passengers

• 8 passengers

• 9 passengers