MATH 0075 Ohio State University Mathematics Practice Quiz

Test 3MATH0075
Name: ____________________________________________
​*SHOW YOUR WORK*
1. ​A sprinter ran the​ 100-meter dash in ​11.21 ​seconds. What was the​ sprinter’s speed in miles per​
hour? Use 3.28 feet per meter. Use 5,280 feet per mile. Round to the nearest tenth.
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2. In one​ city, the cost for water is ​$7.68 per 100 cubic feet of water. According to a​ study, the
average shower in this city lasts 8.5 minutes and uses 19.1 gallons. A person showers once a day
for a year. Find the total cost per year. Use 7.48 gallons per cubic foot. Use 365 days per year.
Round to the nearest cent.
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3. If the total cost of electricity consumption for the entire country was​ $13.6 billion per​ month,
what percent of the total cost was from State​ C? Round to the nearest tenth.
State
Customers
Consumption (kwh)
Cost (in cents)
State A
5,906,154
841
12.77
State B
8,644,536
1,062
11.84
State C
9,598,941
1,102
10.83
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4. Every weekend day​, I download music. This costs ​$2 each time. Use this information to fill
in the following explanation / calculations:
It costs ​$_____ when I download music and I do this _____ times each week.​ Thus, I
spend about ​$_____ each week. Since there are _____ weeks in a​ year, I spend about ​$_____
per year on this activity.
5. How much​ longer would it take to travel 380 miles at 60 mph versus 70​ mph? Round to the
nearest ​minute​.
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6. Dave drops a ruler without warning several times and asks Jeff to catch it as quickly as
possible each time. Dave records the distance to the bottom of the ruler each time. Dave
completes the process and finds that​ Jeff’s average distance to the bottom of the ruler is 2 inches.
Dave can estimate​ Jeff’s reaction time using the formula below. What is a good estimate of​ Jeff’s
reaction time to the nearest​ thousandth? *hint: change inches to feet
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7. Suppose you get a loan of ​$5,000 at an annual interest rate of 5.25​%. Using the formula
A = P (1 + r * t) , find the total amount to be repaid in 3 months. Round to the nearest cent.
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8. A car is traveling 70 mph (V) on a road with 6​% grade (G). If the friction is 0.90 and
g = 32.2 ft./sq. sec., use the following formula to calculate the braking distance. Round to the
nearest foot (do not round until your final answer.) *hint: change mph to ft/s and change your
percent to a decimal.
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9. Is x = 8 a solution to the equation 5 + 4x = 3 ? Show your work to prove your answer.
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10. Julia is 5 feet 6 inches tall and weighs 162 pounds. Use the following formula to calculate
her BMI. If normal range is 18.5 to 25, is Victoria in normal range? Show your work to prove
your answer. *hint: change feet to inches
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11.
Solve:
a.
2x − 4 = 1
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b.
2x − 15 = − 65
Show how you would CHECK your answer for this equation.
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12. A male student drank seven beers (N) at a party. The student weighs 240 pounds. Using the
formula below, how long will it take before the​ student’s BAC is 0.03​? Use 0.68 for g. Round to
the nearest tenth.
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13.
Solve:
a.
22
2
5
b. 6
m
5
=
=
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35
2x
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14. In a metal​ alloy, the ratio of zinc to copper is 3 to 18. If there are 594 lb of​ copper, how
much zinc is​ there?
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Proportion
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Zinc
15. Solve:
a. 3(r + 1.3) − 8r = 8.1
b.
2s + 9
7
=5
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16.
Solve for y:
9x − 3y = 12
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17.
Solve: 4y 2 + 3 = 103
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18.
_______________
Solve:
2x−1
25
=
2
10
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19. ​A TV screen with a width of 25 in has a height of 17 1/2 in. What is the ratio of width to
height of the​ TV? Be sure to simplify your answer.
_______________ : _______________