Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #19 : Converting Measurements

Convert  pounds to ounces.

Possible Answers:

Correct answer:

Explanation:

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

 

Cross-multiply. 

Divide each side by  pound.

Therefore, .

Example Question #20 : Converting Measurements

Convert  liters to milliliters. 

Possible Answers:

Correct answer:

Explanation:

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

 

Cross-multiply. 

Divide by  liter.

Therefore, .

 

 

Example Question #1251 : Algebra 1

Convert  milliliters to liters. 

Possible Answers:

Correct answer:

Explanation:

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

 Cross-multiply.

Divide both sides by  milliliters. 

Therefore, .

 

Example Question #21 : Converting Measurements

Convert  yards to feet. 

Possible Answers:

Correct answer:

Explanation:

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

 

Cross-multiply. 

Divide each side by  yard.

Therefore, .

 

Example Question #21 : 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.

 

Cross-multiply.

Divide both sides by  feet. 

Therefore, .

Example Question #1254 : Algebra 1

Convert  pounds to ounces. 

Possible Answers:

Correct answer:

Explanation:

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

Cross-multiply.

Divide each side by  pound.

 

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 

Therefore, .

Example Question #1251 : Linear Equations

Convert  inches to feet. 

Possible Answers:

Correct answer:

Explanation:

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

 

Cross-multiply.

Divide each side by  inches. 

Solve for .

Inches will cross out and leave the fraction .

Replace the fraction  with  in the equation .

Therefore, .

Example Question #26 : Converting Measurements

Convert  yards to inches.

Possible Answers:

Correct answer:

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.

Cross-multiply. 

Divide each side by  yard.

Therefore, .

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.

Cross-multiply.

Divide each side by  foot.

Therefore, .

So overall: .

Example Question #1251 : Algebra 1

Convert  ounces to pounds.

Possible Answers:

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.

 

Cross-multiply.

Divide both sides by  ounces. 

Therefore, .

Example Question #1252 : Linear Equations

How many eggs are in  dozen if there are  eggs in a dozen?

Possible Answers:

Correct answer:

Explanation:

We know  eggs make up  dozen. Since we are looking for  dozen in eggs, we can write a proportion.

 

Cross-multiply.

Divide each side by  dozen.

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. 

Replace the mixed number  with the improper fraction  in the equation  .

Solve.

Cross out the  and reduce.

Therefore, .

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