Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1281 : Algebra 1

Convert 4 yards into feet.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 3 feet per 1 yard.

In order to have feet left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1282 : Algebra 1

Convert 2 cups to ounces.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 8 ounces per 1 cup.

In order to have ounces left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1283 : Algebra 1

Convert 3 pints to cups.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 2 cups per 1 pint.

In order to have cups left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1284 : Algebra 1

Convert 2 gallons to quarts.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 4 quarts per 1 gallon.

In order to have quarts left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1285 : Algebra 1

Convert 16 inches to feet.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 12 inches per 1 foot.

In order to have feet left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

From here we want to reduce the fraction. In order to do so, factor the numerator and denominator and cancel like terms.

Example Question #1286 : Algebra 1

Convert 12 pints to quarts.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 2 pints per 1 quart.

In order to have quarts left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1287 : Algebra 1

Convert 24 ounces to cups.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 8 ounces per 1 cup.

In order to have cups left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1288 : Algebra 1

Convert 2 quarts into gallons.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 4 quarts per 1 gallon.

In order to have gallons left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1289 : Algebra 1

Convert 24 feet into yards.

Possible Answers:

Correct answer:

Explanation:

To solve this conversion we have to remember that there are 3 feet per 1 yard.

In order to have yards left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

Example Question #1290 : Algebra 1

What is four feet in inches?

Possible Answers:

Correct answer:

Explanation:

There are 12 inches in a foot.

Write the dimensional analysis to solve for inches.

Learning Tools by Varsity Tutors