Lesson 5.4
Skills Practice
Name ___________________________________________________ Date _________________________
Evaluating Expressions with Rational Numbers
Problem Set
Solve each problem.
𝟕
1. Edith is baking cookies. She has 𝟔 𝟖 cups
of sugar. Each batch of cookies requires
𝟑
cup of sugar. How many full batches of
𝟒
cookies can Edith make? How much
sugar will she have left over?
4. Mizuki is sowing a large field with alfalfa.
2
Each acre requires 12 pounds of alfalfa
5
seed. How many pounds of alfalfa will
Mizuki use if she sows 7 acres?
7 3 55 4
6 ÷ =
× =
8 4
8 3
55 4 55 2
× =
× =
8 3
4 3
110
2
1
=9
=9
12
12
16
Edith can make 𝟗 full batches.
𝟏
Edith can make full batches.
5.
𝟖
2. A construction company is building
concrete pillars at the entrance of an
3
auditorium. Each pillar requires 5 cubic
4
yards of concrete. How many cubic
yards will be required to construct 9
pillars?
3. Tomas needs to cut a 15-foot steel pipe
1
1
into 2 3 - foot pieces. How many 2 3 - foot
pieces can he cut from the pipe?
A veterinarian is vaccinating cattle. One
bottle of vaccine is 8 ounces. How many
2
3
- ounce doses can the veterinarian get
out of one bottle of vaccine? How many
ounces of vaccine will be left in the bottle
after she draws the maximum number of
doses out?
1
6. A nightlight uses 8 3 watts of power every
hour. How many watts will the nightlight
1
use every 6 2 hours?
Chapter 5
Skills Practice
•
1
Lesson 5.4
Skills Practice
3
7. Lamar feeds 21 4 ounces of milk to 6
kittens. If each kitten drinks an equal
amount, how many ounces of milk does
each kitten drink?
2
9. Abigail’s car uses 3 3 gallons of gas
every hour on a long distance trip. How
1
many gallons does the car use in 8 2
hours?
1
1
8. Eight divers recover 18 3 ounces of gold
from a sunken ship. How many ounces
of gold will each diver get if they divide
the gold equally?
10. Devin is cutting 5 - foot strips of ribbon
2
from a 60 - foot roll. How many full strips
can he cut from the roll? Once he cuts
the maximum number of full strips from
the roll, how many feet of ribbon will be
left over?
Evaluate each expression for the given value.
5
3
11. Evaluate 6 𝑥 for 𝑥 = −8.
1
2
12. Evaluate 9 3 − 𝑚 for 𝑚 = −1 3.
3
3
13. Evaluate 𝑡 ÷ 4 for 𝑡 = 9 4.
2
1
14. Evaluate 5 𝑘 − 3 2 for 𝑘 = 15.
1
3
1
16. Evaluate (𝑥 − ) for 𝑥 = −2.
4
5
15. Evaluate −3 4 − 2 4 𝑧 for 𝑧 = −4.
3
17. Evaluate 12 ÷ 𝑣 for 𝑣 = − 5.
1
2
18. Evaluate (−3 ) 𝑛 − 2 for 𝑛 = −3.
2
3
1
3
19. Evaluate 𝑥 ÷ (−1 5) for 𝑥 = 6 4.
1
5
2
20. Evaluate 2 4 (7 6 − 𝑚 ) for 𝑚 = 4 3.
Chapter 5
Skills Practice
•
2