7th Grade Enriched
Name _________________________
Homework
Unit 2 – Chapter 2
2.1 – Absolute Value
1. |–7|
2. |14|
3. |–11|
4. |–9| – |6|
5. |–18| – |–8|
6. |–12| + |1|
7. |8 – 4|
8. |23| – |18|
9. |–16| + |–22|
1. | –11 |
2. | –5 | + 8
3. | –4 | – | –4 |
4. |12 | ÷ 2 × | –5 |
5. | –4 | + 7 – | 3 |
6. 9 + | –6 | ÷ | –3 |
Evaluate each expression if a = –3, b = 0, and c = 1.
10. |a| – |c|
11. |a| + |c|
12. |ab| + c
13. 5 – |ac|
14. c + |–5|
15. c + |5|
1. 70 + (–108)
2. –52 + 36
3. –71 + (–86)
4. –39 + (–40)
5. 25 + 18 + (–25)
6. –65 + (–2) + 9
7. 80 + 15 + (–25)
8. –5 + 4 + (–27)
9. –29 + 29 + 44
2.2 – Adding Integers
10. –1 + (–8) + (–49)
11. –16 + (–56) + (–90)
12. –18 + 13 + (–35)
13. 10 + (–34) + 34
14. 30 + (–9) + 1
15. –24 + 7 + (–7)
16. At 4:00 a.m., the outside temperature was –28°F. By 4:00 p.m. it rose 38 degrees. What was
the temperature at 4:00 p.m.?
17. Three friends decided to exercise together four times a week to lose fat and increase muscle
mass. While all three were healthier after six weeks, one had lost 5 pounds, another had
gained 3 pounds, and one had lost 4 pounds. What was the total number of pounds gained
or lost by the three friends?
18. The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In
the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them 72 meters
down, and quickly takes them back up a 48-meter rise. How much higher or lower from the
start of the ride are they after these 20 seconds?
2.3 – Subtracting Integers
Find each difference.
1. –26 – (–30)
2. 25 – 32
3. –18 – 54
4. 59 – (–19)
5. –41 – (–19)
6. –20 – 13
7. 31 – (–56)
8. 15 – (–40)
9. –32 – 28
10. 10 – (–23)
11. –14 – 64
12. –12 – (–36)
13. –81 – 4
14. 9 – 30
15. –44 – (–21)
Find the distance between the integers on a number line.
16. –6 and 0
17. –1 and –19
18. 3 and –5
19. 14 and 21
20. –16 and 2
21. 0 and –7
22. Linda entered an elevator on floor 9. She rode down 8 floors. Then she rode up 11 floors and
got off. What floor was she on when she left the elevator?
23. The NASDAQ lost 36 points on a Monday, but rebounded the next day, gaining 24 points.
What was the total change in points?
2.4 – Multiplying Integers
Find each product.
1. 8(16)
2. –4(17)
3. –1(–40)
4. –5(–7)
5. 0(–54)
6. 29(–2)
7. –20(–20)
8. –31(–4)
9. –2(–15)(–6)
10. 3(–5)(–8)
11. –10(17)(–2)
12. –2(–2)(–2)
13. 12(10)(5)
14. –50(–21)(2)
Evaluate each expression if a = –1, b = –6, and c = 5.
15. –11a
16. 4ab
17. –8bc
18. –10ac
19. 15ab
20. 12ac
21. abc
22. –abc
23. –11a(–bc)
24. 4ab(–8c)
25. 9a(–2b)(5c)
26. –3a(–2b)(–c)
27. In Montyville, the value of homes has experienced an annual change of –2 percent. If the
rate continues, what will be the change over 10 years?
28. The Good Food n’ More grocery store loses an average of $210 a day due to breakage,
shoplifting, and food expiration. How much money does the store lose on average per 7-day
week?
2.5 – Dividing Integers
1. –44 ÷ 4
2. 0 ÷ (–5)
3. –21 ÷ 21
4. 32 ÷ 8
5. –17 ÷ (–17)
6. –49 ÷ 7
7. 80 ÷ (–4)
8. –64 ÷ (–8)
72
9. −9
13.
10.
−400
−25
14.
−100
−5
−525
5
11.
−90
6
84
15. −6
12.
16.
360
12
215
5
Evaluate each expression if a = –2, b = 5, and c = –4.
17. –35 ÷ b
𝑐
21. −2
25.
−28
𝑐
18. 54 ÷ a
𝑏
22. 5
𝑎𝑐
26. −8
19. –56 ÷ c
2
23. 𝑎
27.
𝑏𝑐
𝑎
20. 205 ÷ b
24.
28.
−4
𝑐
250
𝑎𝑏
29. At noon on Friday, the temperature was 0°F. Six hours later the temperature was –18°F. On
average, what was the temperature change per hour?
Word Problems
1.
A submarine descends 32 feet below the surface. It rises 13 feet to look at a coral reef.
Write an addition sentence and use it to find its current depth.
2.
In January, the temperature at the summit of Mt. Everest averages –36°C and can drop as
low as –60°C. In July, the average summit temperature is 17°C warmer. What is the average
temperature at the summit of Mt. Everest in July?
3.
Yosemite Falls is the highest waterfall in North America and the fifth highest in the world.
When viewed from the valley, it appears to be a single waterfall. However, it actually has
three parts. The upper fall has the longest drop of 1430 feet. The middle cascade is 675 feet
long, and the lower fall drops another 320 feet. What is the total length that the water falls?
4.
The platform of a roller coaster is 5 feet off the ground. The first hill rises an additional 122
feet. The first drop is 118 feet. How far off the ground is the roller coaster after the first
drop?
5.
The diving board at Mike’s pool is 3 feet above the water level. Mike stepped off the
diving board and sank until his feet touched the bottom of the pool, which is 12 feet
deep. How many feet did Mike descend from the diving board to the bottom of the pool?
6.
During a 24-hour period, the high temperature was 18°F. The low temperature was –4°F.
What was the temperature range for the day?
7.
The American Kennel Club (AKC) is the largest and second oldest purebred dog registry in
the world. The table below shows some breeds registered with the AKC. Describe the
changes in the number of beagles and chihuahuas registered from 2003 to 2004.
Breed
Golden Retriever
Beagle
Dachshund
Poodle
Chihuahua
Siberian Husky
2003
52,520
45,021
39,468
32,162
24,923
10,660
2004
52,520
44,555
40,770
32,671
24,850
10,566
Source: American Kennel Club (AKC)
8.
Jim and Tom played against each other in a golf tournament. Jim’s final score was 6
under par, the average number of swings it should take a golfer to get his ball in the hole.
Tom’s score was 1 under par. Describe the outcome of their match.
9.
Many companies sell shares in the company in order to raise additional money to invest
in new projects. Mr. Monroe purchased 10,000 shares of a new company at $3.12 per
each share. How much money did Mr. Monroe spend to purchase the shares?
10.
An airplane approaching its destination has begun its final descent into the airport. If the
plane descends at a rate of 300 feet per minute, what is the change in altitude of the
plane after four minutes? Interpret the product.
11.
Heavy snows and rains caused the river near Harvey’s house to flood. When the river
crested, it was 5 feet above its normal level. The water started to recede at a rate of 2
inches per day. How many feet did the river recede after 14 days?
12.
For every 33 feet a scuba diver descends below the surface of the water, the water
pressure increases by about 15 pounds per square inch (psi). A diver reaches the bottom
of a lake that is 99 feet deep. What is the water pressure?
13.
Hans is at the observatory of the Empire State Building in New York City. The observatory
is on the 86th floor of the building. Hans will take the elevator down from the 86th floor
to the first floor, a distance of 320 meters. If the ride takes 50 seconds to descend, what
is the rate of descent in meters per second?
14.
Lydia and her family live in Canada. During the month of February, Lydia recorded the
average daily temperature for one week. Her results are shown in the table below. What
was the average for that week?
Sun
–3°C
15.
Mon Tue
–4°C 0°C
Wed Thu
–2°C 0°C
Fri Sat
3°C –1°C
A rock climber makes several changes in position while attempting to scale a cliff face.
She ascends 15 feet, descends 7 feet, ascends 22 feet, descends 13 feet, and then
ascends another 28 feet. What is her mean change in position?