Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write a system of equations for the problem, and then solve the system.
1) A biologist collected 288 fern and moss samples. There were 36 fewer ferns than moss samples.
How many fern and moss samples did the biologist collect?
A) Fern samples: 99; moss samples: 126
B) Fern samples: 162; moss samples: 126
C) Fern samples: 126; moss samples: 162
D) Fern samples: 162; moss samples: 252
2) John has a jarful of quarters and nickels. There are 95 coins in the jar. The value of the coins is
$12.95. How many of each type of coin?
Number of
Value
Total
coins
per Coin
Value
x
$0.25
y
$0.05
95
XXXXX
$12.95
A) 54 quarters and 41 nickels
C) 90 quarters and 5 nickels
1)
2)
B) 46 quarters and 49 nickels
D) 41 quarters and 54 nickels
3) There were 31,000 people at a ballgame in Los Angeles. The day's receipts from $12 reserved seats
and $6 general-admission seats were $216,000. How many of each type of seat were sold?
A) $12 seats: 5000; $6 seats: 26,000
B) $12 seats: 23,500; $6 seats: 7500
C) $12 seats: 26,000; $6 seats: 5000
D) $12 seats: 7500; $6 seats: 23,500
3)
4) Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol.
How much of each should be mixed to obtain 500 gallons of gasohol containing 10% alcohol?
4)
Gallons of
Gasohol
x
y
500
Percent
(as decimal)
0.05
0.12
0.10
Gallons of Pure
Gasohol
A) 143 gal 5%, 357 gal 12%
C) 357 gal 5%, 357 gal 12%
B) 208 gal 5%, 292 gal 12%
D) 25 gal 5%, 60 gal 12%
5) The owner of Nuts2U Snack Shack mixes cashews worth $5.50 per pound with peanuts worth $2.30
per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is
included in the mixed bag?
A) Cashews: 0.23 lb; peanuts: 0.27 lb
B) Cashews: 0.27 lb; peanuts: 0.23 lb
C) Cashews: 0.07 lb; peanuts: 0.43 lb
D) Cashews: 0.10 lb; peanuts: 0.40 lb
5)
6) Two trains start from towns 273miles apart and travel toward each other on parallel tracks. They
pass each other 3.5 hours later. If one train travels 14 mph faster than the other, find the speed of
each train.
A) 41 mph; 37 mph
B) 48 mph; 30 mph
C) 46 mph; 32mph
D) 36 mph; 42 mph
6)
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7) Two cars leave a city and head in the same direction. After 5 hours, the faster car is 30 miles ahead
of the slower car. The slower car has traveled 250 miles. Find the speeds of the two cars.
A) 52 mph and 58 mph
B) 50 mph and 56 mph
C) 60 mph and 66 mph
D) 44 mph and 50 mph
2
7)
Answer Key
Testname: MAT1033_WORDPROBSECTION
1)
2)
3)
4)
5)
6)
7)
C
D
A
A
A
C
B
3