Word Problems on Addition and Subtraction of Integers

Q. A submarine is located 350 feet below the surface of the sea. It further sinks 85 feet. What is the submarine's current position?

Q. The sum of two negative integers is less than either of the addends.

Q. One autumn morning, the temperature rose from -3°C to 4°C.
a. By how many degrees did the temperature rise?
(In degrees)

b. During the afternoon, the temperature fell by eight degrees from 4°C. What was the temperature at the end of afternoon?
(In degrees)

Q.

A theater manager predicts that $1000$ tickets to a play will be sold if each ticket costs $\$60$. The manager predicts that $20$ less tickets will be sold for every $\$1$ increase in price. For what prices can the manager predict that at least $800$ tickets will be sold?

Q. At 6 p.m., the temperature is 6°F. At 2 a.m., the temperature has dropped by 15 degrees. What is the temperature at 2 a.m.?

1. 6°F - 15°F = -9°F
2. 15°F+ 6°F = 21°F
3. -15°F - 6°F = -21°F
4. -6°F + 15°F = 9°F

Q.

Write two integers whose sum is less than both the integers.

Q. Clara was swimming along the bottom of her backyard pool at a depth of 8 feet.She then pushed herself off the ground and rose 4 feet. What is Clara's current position with respect to the pool's surface?
To solve the problem, Jack added – 8 and 4, and came up with an answer of 12 feet. Is Jack correct? Why or why not?

1. Yes, Jack is correct.
2. No, Jack's answer is incorrect. The correct answer is -4 feet, and not 12 feet. As Clara is submerged, her location with respect to the pool's surface should be negative.
3. No, it's not true. Since the absolute values of -8 and 4 add up to 12, the correct answer is -12 feet. As the sign of the number with the greater absolute value is negative, the answer must be negative.

Q. Timothy borrowed $\$20$ from Ron on Monday and bought a pair of jeans that costs $\$19$. On Tuesday, he got an allowance of $\$25$ which he used to pay his debt to Ron. On Thursday, Timothy earned some money running errands for his neighbors around town. On Friday, he met Ron and Chris in an amusement park where they spent $\$30$ in total which they shared equally. After sharing the cost it turns out that Timothy had no money left. Assuming that he doesn't owe any money to anyone how much money did Timothy earn on Thursday?

1. $\$5$
2. $\$4$
3. $\$6$
4. $\$7$

Q. The below diagram shows a flood warning post in a river. What is the water level shown in the diagram in cm ?

1. $2$
2. $-2$
3. $20$
4. $-20$

Q.

Jonah went on a vacation to Germany. He took $\$1800$ with him. After $3$ days, he had $\$1254$ left. How much did he spend in the first $3$ days?

Q.

The sum of $42$ and $(-68)$ is

1. $-110$

2. $-26$

3. 110

4. $26$

Q. In a computer game, if we hit a ballon, we get 500 points, and if we miss the balloon, we lose 300 points. Raj hits 20 balloons and misses 40 balloons. Find his net score.

1. 1000
2. 2000
3. -1000
4. -2000

Q. Timothy borrowed $\$20$ from Ron on Monday and bought a pair of jeans that costs $\$19$. On Tuesday, he got an allowance of $\$25$ which he used to pay his debt to Ron. On Thursday, Timothy earned some money running errands for his neighbors around town. On Friday, he met Ron and Chris in an amusement park where they spent $\$30$ in total which they shared equally. After sharing the cost it turns out that Timothy had no money left. Assuming that he doesn't owe any money to anyone how much money did Timothy earn on Thursday?

1. $\$5$
2. $\$4$
3. $\$6$
4. $\$7$

Q. In a mid-term exam in Burger's School, Charlie's overall score was $400$ points for correct answers. But in-total he scored $-270$ points for the negative marking towards incorrect answers. What is Charlie's net score?

1. $670$ points
2. $130$ points
3. $400$ points
4. $-130$ points

Q.

Which temperature is lower in $-2°C$ or $3°C$.

Q.

Answer in one word.

Which temperature is lower $5°Cor-5°C$

Q. At 6 p.m., the temperature is 6 °F. By 2 a.m., the temperature has dropped by 15 degrees. What is the temperature at 2 a.m.?

1. $–9°F$
2. $–15°F$
3. $9°F$
4. $15°F$

Q.

A sum of ₹2800 is to be used to award four prizes. If each prize after the first prize is ₹200 less than the preceding prize, find the value of each of the prizes.

Q. In a marbles game, Noah wins $15$ marbles in the first round, but in the next round, she loses $8$ marbles. How many marbles Noah has finally ?

1. $23$
2. $-7$
3. $7$
4. None of the above

Q. Sophie has $32$ chocolates. If Sophie gives $11$ chocolates to her brother Nick, then how many chocolates are left with Sophie?

1. $11$
2. $21$
3. $31$
4. $1$