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Quizzes > Mathematics > Algebra

Algebra I Unit Conversion Challenge

Ready to apply the feet-to-miles conversion formula? Dive into the quiz!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration with 15840 feet arrow miles algebra symbols ruler tape measure on sky blue background

This quick Algebra I quiz helps you convert 15840 feet to miles, step by step, so you can spot the rule and apply it fast. Use it to build speed and catch small mistakes before a test; when you want extra practice, try more unit conversions .

Convert 15840 feet to miles.
3.5 miles
4 miles
2 miles
3 miles
Since 1 mile equals 5280 feet, dividing 15840 by 5280 gives exactly 3 miles. This direct ratio is fundamental in unit conversion. Always confirm by multiplying back: 3 miles times 5280 feet per mile equals 15840 feet. For more details on this conversion, see .
How many feet are in 2 miles?
10560 feet
10000 feet
5280 feet
26400 feet
Multiplying 1 mile (5280 feet) by 2 gives 10560 feet. This simple multiplication is the basis of scaling unit measures. Always refer back to the standard conversion factor of 5280 feet per mile. More examples can be found at .
How many miles are in 26400 feet?
6 miles
4 miles
3 miles
5 miles
Dividing 26400 feet by 5280 feet per mile yields 5 miles. Always use the conversion factor of 5280 feet in one mile when converting back. Checking the multiplication (5×5280) confirms the result. See for more practice.
If a runner runs 5280 feet, how many miles is that?
0.5 mile
2 miles
1 mile
4 miles
Since one mile equals exactly 5280 feet, running 5280 feet is exactly 1 mile. Converting a base unit to its equivalent helps reinforce fundamental conversion ratios. This is a direct application of the definition of a mile. For a refresher, see .
Convert 10560 feet to miles.
3 miles
1.5 miles
2 miles
0.5 mile
10560 feet divided by the standard 5280 feet per mile equals 2 miles. This direct division reinforces the 5280:1 relationship between feet and miles. Always double-check by multiplying 2×5280 to ensure it matches the original feet. For more unit conversion practice, visit .
If you walk 7920 feet, how many miles have you walked?
2 miles
1 mile
1.25 miles
1.5 miles
To convert 7920 feet to miles, divide by 5280 feet per mile: 7920÷5280=1.5. This shows a clear application of ratio and division. Checking by multiplying 1.5×5280 confirms the calculation. Additional examples are at .
How many feet are in 0.25 miles?
2640 feet
528 feet
1580 feet
1320 feet
Multiplying 0.25 miles by 5280 feet per mile gives 1320 feet. This demonstrates converting a fractional mile value to feet. Always multiply the decimal fraction by the full conversion factor for accuracy. See for fractional examples.
How many feet are in 0.5 miles?
1320 feet
10560 feet
2640 feet
5280 feet
A half mile equals 0.5×5280 feet, which equals 2640 feet. This simple multiplication applies the concept of fractions in unit conversion. Always rely on the core factor 5280 when converting between these units. For further reading, see .
Convert 1.2 miles to feet.
5280 feet
6336 feet
6400 feet
6000 feet
Multiplying 1.2 miles by 5280 feet per mile gives 1.2×5280=6336 feet. Converting a decimal mile value to feet requires the same multiplication principle. Verify by dividing 6336 by 5280 to get back to 1.2. More examples are available at .
Convert 3.5 miles to feet.
19200 feet
17600 feet
18480 feet
15840 feet
3.5 miles×5280 feet per mile equals 18480 feet. This demonstrates conversion of a mixed decimal to feet. Always multiply the decimal value of miles by 5280 to get feet. For detailed steps, visit .
Convert 0.75 miles to feet.
3840 feet
3960 feet
4200 feet
4620 feet
0.75 miles is three-quarters of a mile, so multiplying by 5280 gives 0.75×5280=3960 feet. This is a straightforward application of fractional multiplication in conversion. Always ensure the fraction represents the correct portion of the unit. More practice at .
Convert 11880 feet to miles.
3 miles
2.5 miles
2.1 miles
2.25 miles
Dividing 11880 feet by 5280 feet per mile yields 2.25 miles. This shows how to handle numbers not evenly divisible by the conversion factor. Verify by multiplying 2.25×5280 to check your result. More on decimal conversions at .
If a car travels 2640 feet, what fraction of a mile has it covered?
1/4 mile
1/2 mile
2/3 mile
1/3 mile
Since 2640 feet is half of 5280, the car has traveled 1/2 mile. Recognizing that 2640÷5280 reduces to 1/2 helps in fraction conversion. Always simplify fractions when possible for clarity. See for more on fractional conversions.
A piece of string is 2.64 miles long. How many feet is that?
12000 feet
15000 feet
13939.2 feet
14000 feet
Multiply 2.64 miles by 5280 feet per mile: 2.64×5280=13939.2 feet. Decimal mile conversions require precise multiplication for accuracy. Double-check by dividing your result by 5280 to return to the original decimal. See for reference.
A marathon is about 138435 feet. Approximately how many miles is this?
25.0 miles
24.8 miles
27.5 miles
26.2 miles
Dividing 138435 feet by 5280 gives approximately 26.2 miles, matching the standard marathon distance (26.21875 miles). Understanding these real-world values reinforces conversion skills. Rounding to one decimal place yields 26.2 miles. Further details at .
If 17600 feet are traveled, how many whole miles and how many remaining feet does that represent?
3 miles and 2640 feet
3 miles and 640 feet
2 miles and 7040 feet
3 miles and 1760 feet
17600÷5280 gives 3 with a remainder. 3×5280=15840 feet; 17600?15840=1760 feet remaining. Breaking down remainders verifies mixed-unit answers. For more mixed-unit examples, see .
If someone runs 4.8 miles, how many feet have they run?
25344 feet
25000 feet
24000 feet
26000 feet
4.8 miles×5280 feet per mile equals 25344 feet. Multiplying decimal values by the unit conversion factor handles non-integer distances. To verify, divide 25344 by 5280 to return to 4.8. Check more examples at .
Solve for x: x miles = 7920 feet. What is x?
1.5 miles
1.8 miles
2 miles
1.2 miles
Divide 7920 feet by 5280 feet per mile to get x=1.5 miles. This algebraic step isolates x and applies the known conversion factor. Checking 1.5×5280 confirms the original value. For algebraic unit conversion rules, see .
A property report shows a distance of 1 mile 440 feet. What is this distance in miles to two decimal places?
1.10 miles
1.08 miles
1.09 miles
1.07 miles
440 feet÷5280?0.0833; adding 1 gives 1.0833, which rounds to 1.08 miles. Converting mixed units requires separating whole miles and fractional parts. Always round correctly to the requested decimal place. More mixed calculations at .
A property is 26400 feet long. What is its length in miles?
4 miles
6 miles
3 miles
5 miles
26400 divided by 5280 equals 5 miles. This straightforward division uses the key conversion factor between feet and miles. Verifying includes multiplying back 5×5280 to confirm 26400 feet. Check examples at .
Which equation correctly converts 15840 feet to miles?
x = 15840 ÷ 5280
x = 5280 ÷ 15840
x = 15840 × 5280
x = 15840 + 5280
To convert feet to miles, divide the number of feet by the number of feet per mile: x=15840÷5280. Other operations do not isolate x as the number of miles. Always use division by the conversion factor for this direction. See for conversion equations.
A sign indicates 0.2 miles. How many feet does this represent?
1056 feet
1000 feet
528 feet
1100 feet
Multiplying 0.2×5280 feet gives 1056 feet. Converting a decimal-fraction of a mile involves direct multiplication by 5280. Verifying by dividing 1056 by 5280 returns to 0.2. More decimal conversions at .
Given 5/8 of a mile, convert this distance to feet.
3400 feet
3200 feet
3000 feet
3300 feet
5/8 mile equals 0.625 miles. Multiplying 0.625×5280 feet per mile gives 3300 feet. Working with fractions and decimals interchangeably helps in various conversion contexts. More fraction conversions at .
A train travels 31680 feet in one hour. What is its speed in miles per hour?
8 mph
6 mph
5 mph
7 mph
Dividing 31680 feet by 5280 gives 6 miles. Since this distance is covered in one hour, the speed is 6 mph. Using feet-to-mile conversion within rate calculations links units coherently. For more on unit rates, see .
An engineer uses a scale where 1 inch represents 400 feet. If a plan shows a feature 40 inches long, what is its actual length in miles?
4 miles
2.5 miles
3.03 miles
3.5 miles
40 inches×400 feet per inch gives 16000 feet. Dividing 16000 by 5280 yields approximately 3.0303 miles, which rounds to 3.03 miles. This combines scale conversion with unit conversion. More on scale drawings at .
A runner completes a 10k race (10000 meters). First convert to feet (1 meter ?3.28084 feet), then to miles. Approximately how many miles did the runner complete?
6.5 miles
5.8 miles
6.21 miles
7 miles
10000 meters×3.28084=32808.4 feet. Dividing by 5280 gives about 6.21 miles. Multi-step conversions require chaining factors correctly. For meter-to-feet details, see .
If a pipe is 24000 feet long, express its length in miles, rounded to two decimal places.
5 miles
4.60 miles
4.55 miles
4.50 miles
24000÷5280?4.5455. Rounding to two decimal places yields 4.55 miles. Accurate rounding is critical in practical engineering contexts. Confirm calculations with multiplication if needed. Additional exercises at .
A map uses a scale of 1:63,360, meaning 1 inch equals 5280 feet (1 mile). If the map shows a distance of 10 inches, what is the real-world distance in miles?
10 miles
63.36 miles
5 miles
1 mile
At a scale of 1 inch=1 mile, 10 inches represent 10 miles directly. Understanding map scales and unit definitions simplifies real-world distance calculations. Always confirm the defined scale conversion factor. More on map scales at .
Sally runs 15840 feet in 2 hours. What is her average speed in miles per hour?
3 mph
1 mph
2 mph
1.5 mph
15840 ÷ 5280 = 3 miles. Dividing by 2 hours gives 1.5 mph. Unit conversion combined with rate computation yields the average speed. For more examples on speed conversions, see .
Convert -7920 feet to miles.
-1.75 miles
-2 miles
-1 mile
-1.5 miles
Negative distances follow the same conversion: -7920 ÷ 5280 = -1.5 miles. The sign remains attached to the result. Understanding signed unit conversions is important in contextual physics or navigation problems. See .
A velocity is given as 7920 feet per minute. Convert this speed to miles per hour.
80 mph
95 mph
90 mph
100 mph
7920 ft/min×60 min/hr = 475200 ft/hr. Dividing by 5280 ft/mile yields 90 mph. Multi-step rate conversions require attention to each unit factor. More on rate conversion at .
A rectangular field measures 10560 feet by 7920 feet. What is its area in square miles?
2.5 square miles
3.5 square miles
4 square miles
3 square miles
Area in ft² is 10560×7920=83,635,200 ft². One square mile is (5280)²=27,878,400 ft². Dividing gives 83,635,200÷27,878,400=3 square miles. Converting units in area involves squaring conversion factors. More area conversions at .
A ship moves backward 15840 feet in 0.25 hours. What is its speed in miles per hour?
12 mph
8 mph
-10 mph
-12 mph
15840 ft = 3 miles. Divided by 0.25 hours gives 12 mph. Moving backward gives a negative sign: -12 mph. Signed speeds reflect direction in vector quantities. More on vector units at .
In the equation y = a x where x is feet and y is miles, what is the constant a?
1/5280
1
1/3280.84
5280
Since y (miles) = x (feet) ÷ 5280, the constant a equals 1/5280. This coefficient converts feet directly to miles. Understanding this constant is crucial for algebraic unit manipulation. For more on conversion factors, see .
What is 1 foot per second in miles per hour?
3.6 mph
1.14 mph
1 mph
0.68 mph
1 ft/sec = (1/5280) miles per second, then multiply by 3600 seconds/hour: (1/5280)×3600?0.6818 mph, rounds to 0.68 mph. This combines unit conversion factors for length and time. See for details.
Given the function f(x) = (x/5280) + 2, where x is in feet and f(x) is in miles, what is f(10560)?
6 miles
5 miles
3 miles
4 miles
Substitute x=10560: 10560/5280=2, then add 2 gives f(10560)=4 miles. This applies both algebraic functions and unit conversion. Checking both steps confirms the result. For more on functions, see .
How many nautical miles are there in 15840 feet if 1 nautical mile equals 6076.12 feet?
2.5 nautical miles
3 nautical miles
2 nautical miles
2.606 nautical miles
Divide 15840 ft by 6076.12 ft/nautical mile: 15840÷6076.12?2.606 nautical miles. Using the specific conversion factor adjusts to nautical contexts. Rounding to three decimals gives 2.606. For more on nautical conversions, see .
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Study Outcomes

  1. Understand the relationship between feet and miles -

    Learn the fundamental connection between these units of distance and why 1 mile equals 5,280 feet, establishing a solid foundation for all conversion tasks.

  2. Apply the standard feet-to-miles conversion formula -

    Master the algebraic formula for converting feet to miles so you can confidently tackle any distance conversion problem.

  3. Calculate 15840 feet to miles with precision -

    Use your newfound skills to accurately convert 15,840 feet into miles, reinforcing your understanding and boosting calculation speed.

  4. Utilize algebraic techniques for distance conversions -

    Employ step-by-step algebraic methods to solve a variety of distance conversion challenges, from basic to more complex scenarios.

  5. Analyze and correct common unit conversion errors -

    Identify typical mistakes in distance conversions and learn strategies for spotting and fixing errors in your work.

  6. Track progress and improve conversion accuracy -

    Receive instant feedback on each quiz question to monitor your performance, set improvement goals, and build confidence in your conversion skills.

Cheat Sheet

  1. Key Conversion Factor (1 mile = 5280 ft) -

    Every feet to miles conversion formula hinges on the fact that one mile is exactly 5280 feet according to NIST standards. Memorizing this ratio is crucial for solving problems like 15840 feet how many miles. It sets the stage for all algebra distance conversion quiz questions.

  2. Step-by-Step Division Approach -

    When you convert 15840 feet to miles, simply divide 15840 by 5280 to get 3 miles. This straightforward arithmetic reinforces your understanding of applying the formula in real problems. Practicing such steps boosts speed and confidence in any unit conversion practice.

  3. Use Dimensional Analysis -

    The factor-label method helps you cancel units correctly - multiply 15840 ft by (1 mi/5280 ft) to see the feet units cancel out neatly. This algebraic approach is recommended by math educators like those at Khan Academy and aligns with systematic problem-solving techniques. Employing dimensional analysis makes tricky conversions feel intuitive.

  4. Mnemonic for 5280 -

    Remember "Five grand, two hundred, eighty" to lock 5280 into your memory bank. Mnemonic devices are proven tools in cognitive research (e.g., Journal of Educational Psychology) for recalling conversion factors. This quick trick ensures you never mix up 5280 when converting feet to miles.

  5. Visualize the Result -

    Imagining walking or driving 3 miles (15840 ft) helps link abstract numbers to real locations or routes near your school. Relating unit conversion to everyday contexts strengthens retention and keeps you motivated during algebra distance conversion quizzes. Turning numbers into narratives is a powerful study strategy backed by university learning centers.

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