The image contains a worksheet titled
"Understanding Integers Word Problems." The task involves solving word problems related to integers. Below, I will solve each problem step by step.
---
Problem 1:
Tiffany and her friends are playing a board game. Each player takes a turn drawing a card that tells how many spaces forward or backward they must move. If Tiffany draws a card that says “+3,” what integer represents the change in her position?
-
Solution:
The card says "+3," which means Tiffany moves forward 3 spaces.
Therefore, the integer representing the change is
+3.
---
Problem 2:
Steve just joined the track team at school. At his last track meet, he cut 11 seconds off his previous fastest time. What integer represents the change in Steve’s fastest time?
-
Solution:
Cutting 11 seconds off his previous time means his new time is 11 seconds faster. This is represented as a decrease (negative change) in time.
Therefore, the integer representing the change is
-11.
---
Problem 3:
The average temperature this week in Sunnyside increased by 7°F compared to last week. What integer represents the change in temperature?
-
Solution:
An increase in temperature is represented as a positive change.
Therefore, the integer representing the change is
+7.
---
Problem 4:
Kelly withdrew $160 from her bank account to pay for a new pair of shoes. What integer represents the change in Kelly’s account balance?
-
Solution:
Withdrawing money decreases the account balance. This is represented as a negative change.
Therefore, the integer representing the change is
-160.
---
Problem 5:
Jessica went on a three-hour walk. The temperature dropped 2°F for every hour that she walked. What integer represents the change in temperature for every hour that Jessica walked?
-
Solution:
The temperature dropping 2°F per hour is a negative change.
Therefore, the integer representing the change in temperature for every hour is
-2.
---
Final Answers:
1.
+3
2.
-11
3.
+7
4.
-160
5.
-2
---
Boxed Final Answer:
\[
\boxed{+3, -11, +7, -160, -2}
\]
Parent Tip: Review the logic above to help your child master the concept of integer word problems worksheet.
