7th Grade Chapter 1 Practice Quiz
Scale each ratio up or down to determine the unknown quantity. Explain how you calculated each
answer.
1.
_____________________________________
2.
_____________________________________
Calculate the unit rate for each item. Round to the nearest cent.
3. A box of 8 light bulbs costs $6.29.
_____________
4. A bag of 6 oranges costs $2.49.
_____________
5. A 16-ounce box of cereal costs $4.98.
_____________
6. Answer questions 6 and 7 using the conversion rates listed:
Length
Time
12 inches  1 foot
60 seconds  1 minute
36 inches  1 yard
60 minutes 1 hour
3 feet  1 yard
3600 seconds  1 hour
5280 feet  1 mile
24hours  1 day
7days  1 week
How many feet are in 4.5 miles? _____________
7. How many seconds are in 1 week? _____________
8. A person who weighs 105 pounds on Earth would weigh 47.2 pounds on Mercury. Determine how much a
child who weighs 50 pounds on Earth would weigh on Mercury. Round to the tenths place.
__________________________
9. One brand of canned salmon is sold in four different sizes.
a.
The 7-ounce can costs $3.49.
The 16-ounce can costs $6.49
The 24-ounce can costs $8.49.
The 30-ounce can costs $10.99.
Calculate the unit rate (cost per ounce) for each size.
7 ounce: _________________ 16 ounce: ________________
24 ounce: _________________ 30 ounch: _________________
b.
Which size is the best buy? Explain how you know.
_____________________________________________________
10. The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They
tagged 45 beavers and released them. A week later, they captured 60 beavers, including 18 tagged beavers.
What is a good estimate of the beaver population in the Raritan River?
__________________________________________
11. On his last math test, Brandon completed 13 problems in 45 minutes.
a.
If he worked at a constant rate, how long did it take Brandon to complete 8 problems? Explain how
you can use a unit rate to answer this question.
____________________________________________________
b.
If he worked at a constant rate, how many math problems did Brandon complete in 35 minutes?
Explain how you can use a unit rate to answer this question.
____________________________________________________
7th Grade Chapter 1 Practice Quiz
Answer Section
1. ANS:
26 miles
I divided the numerator and denominator by 16.
PTS: 1
TOP: Post Test
2. ANS:
19.5 yards
REF: 1.1
NAT: 6.RP.1 | 7.RP.1
KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down
I multiplied the numerator and denominator by 3.
PTS: 1
REF: 1.1
NAT: 6.RP.1 | 7.RP.1
TOP: Post Test
KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down
3. ANS:
The unit rate is $1.05 per light bulb.
PTS: 1
REF: 1.1
NAT: 6.RP.1 | 7.RP.1
TOP: End Ch Test KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down
4. ANS:
The unit rate is $0.37 per orange.
PTS: 1
REF: 1.1
NAT: 6.RP.1 | 7.RP.1
TOP: End Ch Test KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down
5. ANS:
The unit rate is $0.38 per ounce.
PTS: 1
TOP: End Ch Test
6. ANS:
REF: 1.1
NAT: 6.RP.1 | 7.RP.1
KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down
There are 23,760 feet in 4.5 miles.
PTS: 1
KEY: convert
7. ANS:
REF: 1.3
NAT: 7.RP.1
TOP: Post Test
There are 604,800 seconds in 1 week.
PTS: 1
KEY: convert
REF: 1.3
NAT: 7.RP.1
TOP: Post Test
8. ANS:
A child who weighs 50 pounds on Earth would weigh approximately 18.9 pounds on Mercury.
PTS: 1
TOP: Post Test
9. ANS:
REF: 1.5
NAT: 7.RP.1 | 7.RP.2.c | 7.RP.3
KEY: variable | means and extremes | solve a proportion | inverse operations
a.
b.
The 24-ounce can is the best buy because its cost per ounce is lowest.
PTS: 1
TOP: Post Test
10. ANS:
REF: 1.6
NAT: 7.RP.1 | 7.RP.2.b | 7.RP.3
There are approximately 162 beavers in the Raritan River.
PTS: 1
REF: 1.5
NAT: 7.RP.1 | 7.RP.2.c | 7.RP.3
TOP: End Ch Test KEY: variable | means and extremes | solve a proportion | inverse operations
11. ANS:
a.
Brandon worked 12 problems in 48 minutes, so his unit rate was
b.
Brandon completed 4 problems per minute, so it took him (8)(4)  32 minutes to complete 6
problems.
c.
Brandon completed
PTS: 1
KEY: convert
problem per minute, so in 36 minutes, he completed
REF: 1.3
NAT: 7.RP.1
TOP: End Ch Test
problems.