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Algebra 1 : Converting Measurements

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Example Question #21 : Converting Measurements

Convert 7000 milliliters to liters.

Possible Answers:

7000000

Correct answer:

Explanation:

We know 1000 milliliters make up liter. Since we are looking for 7000 milliliters in liters, we can write a proportion.

$\frac{1\ liter}{1000\ milliliters}=\frac{x\ liters}{7000\ milliliters}$

Cross-multiply.

$(x\ liters)(1000 milliliters)=(1\ liter)(7000\ milliliters)$

Divide both sides by 1000 milliliters.

$x\ liters= 7(1\ liter)$

$x=7\ liters$

Therefore, $7000\ millimeters=7\ liters$ .

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Example Question #22 : Converting Measurements

Convert yards to feet.

Possible Answers:

1.33

Correct answer:

Explanation:

We know feet make up yard. Since we are looking for yards in feet, we can write a proportion.

$\frac{1\ yard}{3\ feet}=\frac{4\ yards}{x\ feet}$

Cross-multiply.

$(x\ feet)(1\ yard)=(3\ feet)(4\ yards)$

Divide each side by yard.

$x\ feet=4(3\ feet)$

$x=12\ feet$

Therefore, $4\ yards=12\ feet$ .

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Example Question #23 : Converting Measurements

Convert feet to yards.

Possible Answers:

Correct answer:

Explanation:

We know feet make up yard. Since we are looking for feet in yards, we can write a proportion.

$\frac{1\ yard}{3\ feet}=\frac{x\ yards}{21\ feet}$

Cross-multiply.

$(x\ yards)(3\ feet)=(1\ yard)(21\ feet)$

Divide both sides by feet.

$x\ yards=7(1\ yard)$

$x=7\ yards$

Therefore, $21\ feet=7\ yards$ .

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Example Question #24 : Converting Measurements

Convert 5.75 pounds to ounces.

Possible Answers:

9200

Correct answer:

Explanation:

We know ounces make up pound. Since we are looking for 5.75 pounds in ounces, we can write a proportion.

$\frac{1\ pound}{16\ ounces}=\frac{5.75\ pounds}{x\ ounces}$

Cross-multiply.

$(x\ ounces)(1\ pound)=(16\ ounces)(5.75\ pounds)$

Divide each side by pound.

$x\ ounces= 5.75(16\ ounces)$

$x=92\ ounces$

Remember, we have to place the decimal point between the and since we are dealing with a decimal value and we shift two decimal places to the right (92.00) .

Therefore, $5.75\ pounds=92\ ounces$ .

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Example Question #1251 : Linear Equations

Convert inches to feet.

Possible Answers:

1.6

1.7

1.8

1.5

Correct answer:

1.5

Explanation:

We know inches make up foot. Since we are looking for inches in feet, we can write a proportion.

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{18\ inches}$

Cross-multiply.

$(x\ feet)(12\ inches)=(1\ foot)(18\ inches)$

Divide each side by inches.

$x\ feet=(1\ foot) (\frac{18\ inches}{12\ inches})$

Solve for $(\frac{18\ inches}{12\ inches})$ .

Inches will cross out and leave the fraction $\tfrac{18}{12}$ .

$\frac{18}{12}=\frac{3}{2}=1\frac{1}{2}=1.5$

Replace the fraction $(\frac{18\ inches}{12\ inches})$ with 1.5 in the equation $x\ feet=(1\ foot) (\frac{18\ inches}{12\ inches})$ .

$x\ feet=1.5(1\ foot)$

$x=1.5\ feet$

Therefore, $18\ inches=1.5\ feet$ .

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Example Question #26 : Converting Measurements

Convert yards to inches.

Possible Answers:

108

Correct answer:

108

Explanation:

First, let's go from yards to feet.

We know feet make up yard. Since we are looking for yards in feet, we can write a proportion.

$\frac{1\ yard}{3\ feet}=\frac{3\ yards}{x\ feet}$

Cross-multiply.

$(x\ feet)(1\ yard)=(3\ feet)(3\ yards)$

Divide each side by yard.

$(x\ feet)=3(3\ feet)$

$x=9\ feet$

Therefore, $3\ yards=9\ feet$ .

Now we convert feet to inches.

We know inches make up foot. Since we are looking for inches in feet, we can write a proportion.

$\frac{1\ foot}{12\ inches}=\frac{9\ feet}{x\ inches}$

Cross-multiply.

$(x\ inches)(1\ foot)= (12\ inches)(9\ feet)$

Divide each side by foot.

$x\ inches=9(12\ inches)$

$x=108\ inches$

Therefore, $9\ feet =108\ inches$ .

So overall: $3\ yards=108\ inches$ .

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Example Question #27 : Converting Measurements

Convert ounces to pounds.

Possible Answers:

540

120

1080

Correct answer:

Explanation:

We know ounces make up pound. Since we are looking for the number of pounds in ounces, we can write a proportion.

$\frac{1\ pound}{16\ ounces}=\frac{x\ pounds}{80\ ounces}$

Cross-multiply.

$(x\ pounds)(16\ ounces)=(1\ pound)(80\ ounces)$

Divide both sides by ounces.

$x\ pounds=5(1\ pound)$

$x=5\ pounds$

Therefore, $80\ ounces = 5\ pounds$ .

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Example Question #28 : Converting Measurements

How many eggs are in $4\tfrac{1}{3}$ dozen if there are eggs in a dozen?

Possible Answers:

Correct answer:

Explanation:

We know eggs make up dozen. Since we are looking for $4\tfrac{1}{3}$ dozen in eggs, we can write a proportion.

$\frac{1\ dozen}{12\ eggs}=\frac{4\tfrac{1}{3}\ dozen}{x\ eggs}$

Cross-multiply.

$(x\ eggs)(1\ dozen)=(12\ eggs)(4\tfrac{1}{3}\ dozen )$

Divide each side by dozen.

$x\ eggs=4\tfrac{1}{3}(12\ eggs)$

Convert the mixed number into an improper fraction by multiplying denominator with the whole number followed by adding the numerator. Then we write that value over the denominator.

$\frac{(3*4)+1}{3}=\frac{13}{3}$

Replace the mixed number $4\tfrac{1}{3}$ with the improper fraction $\tfrac{13}{3}$ in the equation $x\ eggs=4\tfrac{1}{3}(12\ eggs)$ .

$x\ eggs=\frac{13}{3}(12\ eggs)$

Solve.

$x\ eggs=\frac{13}{3}*\frac{12\ eggs}{1}$

Cross out the and reduce.

$x\ eggs=\frac{13}{1}*\frac{4\ eggs}{1}$

$x\ eggs=13(4\ eggs)$

$x=52\ eggs$

Therefore, $4\tfrac{1}{3}\ dozen = 52\ eggs$ .

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Example Question #29 : Converting Measurements

Convert one inch to yards.

Possible Answers:

$\frac{1}{6}$

$\frac{1}{24}$

$\frac{1}{216}$

$\frac{1}{36}$

$\frac{1}{108}$

Correct answer:

$\frac{1}{36}$

Explanation:

Write the conversion factors.

$12\textup{ inch }= 1\textup{ feet}$

$1\textup{ yard}=3 \textup{ feet}$

From here we multiply the conversion factors together making sure the units from the top cancel with those on the bottom to leave yards.

$1\textup{ inch}\left(\frac{1\textup{ feet}}{12\textup{ inch }}\right)\left(\frac{1\textup{ yard}}{3 \textup{ feet}}\right)=\frac{1}{36}\textup{ yards}$

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Example Question #30 : Converting Measurements

How many quarts are in $\frac{5}{8}$ of a gallon?

Possible Answers:

$\frac{2}{5}$

$\frac{32}{5}$

$\frac{5}{2}$

$\frac{2}{5}$

$\frac{5}{32}$

Correct answer:

$\frac{5}{2}$

Explanation:

Four quarts make up a gallon. Write the dimensional analysis.

$4\textup{ quarts }= 1\textup{ gallon}$

Multiply the amount of gallons given in the question by the conversion factor. Make sure to have the units on the top cancel those in the bottom to leave the amount quarts.

$\left(\frac{5}{8}\textup{ gallons }\right)\left(\frac{4\textup{ quarts }}{1\textup{ gallon}}\right) = \frac{5}{2}\textup{ quarts }$

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Algebra 1 : Converting Measurements

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Converting Measurements

Example Question #22 : Converting Measurements

Example Question #23 : Converting Measurements

Example Question #24 : Converting Measurements

Example Question #1251 : Linear Equations

Example Question #26 : Converting Measurements

Example Question #27 : Converting Measurements

Example Question #28 : Converting Measurements

Example Question #29 : Converting Measurements

Example Question #30 : Converting Measurements

All Algebra 1 Resources

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