Name
LESSON
Date
Class
Problem Solving
5-2 Rates
Write the correct answer.
1. A truck driver drives from Cincinnati
to Boston in 14 hours. The distance
traveled is 840 miles. What is the
truck driver’s average rate of speed?
2. Melanie earns $97.50 in 6 hours. Earl
earns $296.00 in 20 hours. Who
earns a higher rate of pay per hour?
3. Mr. Tanney buys a 10-trip train ticket
for $82.50. Ms. Elmer buys an
unlimited weekly pass for $100
and uses it for 12 trips during the
week. Write the unit cost per trip
for each person.
4. Metropolitan Middle School has 564
students and 24 teachers. Eastern
Middle School has 623 students and
28 teachers. Which school has the
lower unit rate of students per
teacher?
Choose the letter for the best answer.
5. Which shows 20 pounds per 5
gallons as a unit rate?
6. What is the unit price of a 6-ounce
tube of toothpaste that costs $3.75?
F $0.06
G $0.23
H $0.62
J $0.63
20 lb
A 1 gal
4 lb
B 1 gal
5 lb
C 1 gal
1 gal
D 4 lb
7. Max bought 16 gallons of gas for
$40.64. Lydia bought 12 gallons of
gas for $31.08. Kesia bought 18
gallons of gas for $45.72. Who got
the best buy?
A Max got the best buy.
B Lydia got the best buy.
C Lydia and Kesia both paid the
same rate, which is better than
Max’s rate.
D Max and Kesia both paid the
same rate, which is better than
Lydia’s rate.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8. A pack of 12 8-ounce bottles of water
costs $3.36. What is the unit cost per
ounce of bottled water?
F $0.03 per ounce
G $0.04 per ounce
H $0.28 per bottle
J $0.42 per bottle
18
Holt Mathematics
Problem Solving
5-2 Rates
Challenge
5-2 The Rate Maze
LESSON
LESSON
Write the correct answer.
1. A truck driver drives from Cincinnati
to Boston in 14 hours. The distance
traveled is 840 miles. What is the
truck driver’s average rate of speed?
Contestants A–H must make their way through the maze to the
Winners’ Circle. To reach the Winners’ Circle, each contestant
must find a path from his or her current location through sections
containing equivalent unit prices or rates. The contestants can move
only through sections that share a corner.
Find each unit price or rate. Circle the two contestants who will
not be able to get to the Winners’ Circle.
7 lb for
$18.55
$2.65
per lb
6 note
boo
for $6.9 ks
0
d
4y
for
.40
$14$3.60 per yd
$1.15 per
notebook
15 books for ok
$14.25 er bo
rds
wo
00 rs
7,2 in 3 h ords
w
850 words
in 17 min
50 words
per min
5. Which shows 20 pounds per 5
gallons as a unit rate?
4 lb
B 1 gal
$6.00 for
5 ft
$1.2
per 0
ft
5 lb
C 1 gal
1 gal
D 4 lb
$3.6
0
90 m for
in
$2
pe .4
rh 0
r
7. Max bought 16 gallons of gas for
$40.64. Lydia bought 12 gallons of
gas for $31.08. Kesia bought 18
gallons of gas for $45.72. Who got
the best buy?
A Max got the best buy.
B Lydia got the best buy.
C Lydia and Kesia both paid the
same rate, which is better than
Max’s rate.
D Max and Kesia both paid the
same rate, which is better than
Lydia’s rate.
50 r min
s pe
word
17
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
6. What is the unit price of a 6-ounce
tube of toothpaste that costs $3.75?
F $0.06
G $0.23
H $0.62
J $0.63
20 lb
A 1 gal
$3.60
per yd
s
in 1
Eastern Middle School
Choose the letter for the best answer.
.60
$39 1 yd
1
for
word
4,50h0r 30 min
pe rd
rm s
in
7,
w 5
2 h ord 00
r3 si
0 n
wo50 min
$7
.2
2 h 0 fo
r r
60
$3. r hr
pe
2,
fo
$2 r 4 hr
30 m
.4
in
0
pe
rh
r
r
0 hr
40 per
4
1 ,00
hr 0
20 wo
wo
mr
rds inds i
n
per
min
ute
15
$1. pen
per
.80
p
50
95
$0.
$10
2h
for
50
$7. $3.75 per hr
8 pens
0
for $9.2
Mr. Tanney, $8.25 per trip;
or
df 5
3 y $8.2
75
$2. yd
per
d
5
$5 boo
.7 k
$1.1 5 s fo
r
5p
er b
ook
Melanie
Holt Mathematics
8. A pack of 12 8-ounce bottles of water
costs $3.36. What is the unit cost per
ounce of bottled water?
F $0.03 per ounce
G $0.04 per ounce
H $0.28 per bottle
J $0.42 per bottle
18
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters, & Teasers
5-2 At This Rate...
Reading Strategies
5-2 Build Vocabulary
LESSON
LESSON
Draw a line to connect each rate to the equivalent unit rate.
A rate is a special ratio that compares two values that are measured in different units.
• $8 for 2 pounds of beef
• 12 miles in 3 hours
$22.80
1. 8 lb
18 ft
1s
$8
2 lb
12 mi
3h
288 ft
2. 16 s
$2.75
1 lb
I
$16.50
3. 6 lb
17.6 ft
1s
M
792 ft
4. 45 s
$0.05
1 min
N
$3.74
5. 68 min
$2.85
1 lb
K
$4.05
6. 75 min
$0.06
1 min
A
pounds compared to dollars
4. Metropolitan Middle School has 564
students and 24 teachers. Eastern
Middle School has 623 students and
28 teachers. Which school has the
lower unit rate of students per
teacher?
Ms. Elmer, $8.33 per trip
5 yd
fo
$2 r $13.7
5
.7
5
pe
ry
4 lb for $8.60
5 lb
$2.1
for
.20
$17 8 lb b
l
5
.1
$2
$7
4 for
hr
$1.
per 75
hr
60 miles per hour
3. Mr. Tanney buys a 10-trip train ticket
for $82.50. Ms. Elmer buys an
unlimited weekly pass for $100
and uses it for 12 trips during the
week. Write the unit cost per trip
for each person.
8y
for d
$22
$2
pe .7
ry 5
d
5
r $6.4
3 lb fo
5
$2.1
per lb
2. Melanie earns $97.50 in 6 hours. Earl
earns $296.00 in 20 hours. Who
earns a higher rate of pay per hour?
miles compared to hours
5 hours
a rate? Explain.
1. Is the ratio 12 hours
No; it does not compare values that are in different units.
50 yards
a rate? Explain.
2. Is the ratio 18 seconds
O
Yes; it compares yards to seconds.
375 miles
compare?
3. What does the rate 15 gallons
Next, choose the best buy. Circle the letter next to your answer.
It compares miles to gallons.
$3.33
7. E. 4.5 lb
$2.28
L. 3 lb
$45.36
8. O. 21 gal
$38.97
B. 18 gal
$57.25
T. 25 gal
9. S. 36 min
$3.30
A. 60 min
$5.04
G. 72 min
$34.32
10. P. 8 yd
$49.92
W. 12 yd
$65.44
R. 16 yd
In a unit rate, the second quantity in the rate is 1 unit. To write a unit rate, write the
rate as a fraction with a denominator of 1.
$2.16
$8
($8 2)
$4
2 lb
(2 lb 2)
1 lb
rate
unit rate
Write yes or no to tell if each rate is a unit rate. If it is not a unit
rate, write the unit rate.
$2.75
4. 1h
100 mi
5. 4 gal
35 lb
6. 1 box
40 ft
7. 5s
Write the letters that are next to your answers above the
problem numbers to solve the riddle.
Yes
25 mi
No; 1 gal
Where do tadpoles hang their coats?
Yes
I
N
A
8 ft
No; 1s
3.
6.
5.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
$2.92
C. 4 lb
19
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
C
R
O
A
K
R
O
O
M
7.
10.
2.
9.
1.
10.
2.
8.
4.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
90
20
Holt Mathematics
Holt Mathematics