Name:
_________________________________
Date:
________ Period:
_____
7th Grade - Sec 4.1 and 4.2 Skills Practice Worksheet
Negative integers cannot be represented in concrete reality, but they are very useful
for representing some sort of progress from a starting quantity or position. Therefore,
common applications of negative integers often involve money, temperature, or
direction. Problems that deal with sequential events of a story can often be modeled
by a number sentence involving negative integers.
1. A small dog that can jump 5 feet off the ground chases a chipmunk across a yard towards a
tree. The chipmunk runs 8 feet up the tree trunk, and then cautiously walks back down 5
feet to see how close the dog is. Seeing the dog closing in, the chipmunk then scurries up 3
feet before the dog reaches the tree.
a.
Write a number sentence for the situation. (We did this one in class)
b.
Is the dog able to reach the chipmunk? Explain.
The chipmunk ends up 6 feet up the tree trunk. Because the dog can only
jump 5 feet high, the dog is not able to reach the chipmunk.
2. While spending the day at the beach, Keeley tries to dig a deep hole in the sand. She digs
down 20 inches before the walls of the hole collapse, filling the hole with 7 inches of sand.
She then continues to dig down 10 inches before the sides of the hole collapse again, filling
the hole with 4 inches of sand.
a.
Write a number sentence for the situation.
b.
Keeley decides to place her sand pail that is 18 inches tall into the hole in the sand.
Is the hole deep enough for her entire pail to fit? Explain.
Name:
_________________________________
Date:
________ Period:
_____
Write a number sentence to describe the results of each roll of two number cubes
(numbered 1 through 6). The result of the red number cube represents a negative
number and the result of the black number cube represents a positive number.
3. Your score starts at 0. You roll a red 5 and a black 3.
4. Your score is 4. You roll a red 3 and a black 6.
5. Your score is 2. You roll a red 4 and a black 1.
6. Your score is 7. You roll a red 6 and a black 2.
Use the number line to determine the number described by each statement. Explain
your reasoning.
7. Determine the number that is 3 more than 5.
8. Determine the number that is 9 more than 4.
9. Determine the number that is 7 less than 3.
10. Determine the number that is 13 less than 6.
Name:
_________________________________
Date:
11. Determine the number that is 10 less than 2.
12. Determine the number that is 4 less than 1.
Use the number line to determine each sum.
13. 3  8 
3  (8) 
3  (8) 
3  8 
14. 9  (2) 
9  2 
9  2 
9  (2) 
________ Period:
_____
Name:
_________________________________
Date:
________ Period:
_____
Write the absolute values for each pair of integers and explain what they mean.
15.
16.




Complete each number line model and then determine the unknown addend.
17. 15  _____ 8
18. 3  _____  9
19. 4  _____  5
20. 7  _____  10