Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #81 : How To Solve One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for , you must get it alone on one side of the equation. To do so, subtract  from both sides.

 

Example Question #81 : Algebra 1

Ashley and  friends ate dinner at a restaurant together, and they split the bill evenly. If each person paid , how much was the total bill?

Possible Answers:

Correct answer:

Explanation:

Let  be the total bill.

Since there is a total of  people, we can write the following equation:

To solve for , multiply both sides by .

The total bill cost .

Example Question #83 : Algebra 1

Aaron was baking cupcakes. The recipe calls for  cups of flour. If he has already put in  cups of flour, how many more cups of flour does he need?

Possible Answers:

Correct answer:

Explanation:

Let  be the number of cups of flour he needs to still add.

Since he has already added  cups, we can write the following equation:

To solve for , subtract both sides by :

Example Question #84 : Algebra 1

Last Monday, Adam had . Over the course of the week, he earned some money babysitting. He now has . How much money did he earn babysitting?

Possible Answers:

Correct answer:

Explanation:

Let  be the amount he earned babysitting.

Since he started out with , we can write the following equation:

To solve for , subtract  from both sides.

Adam earned  babysitting.

Example Question #85 : Algebra 1

Anna ran  more miles than Nelson ran. If Anna ran  miles, how many miles did Nelson run?

Possible Answers:

The miles that Nelson ran cannot be determined.

Correct answer:

Explanation:

Let  be the number of miles that Nelson ran.

Since we know that Anna ran  more miles than Nelson did, we can write the following expression to tell us how many miles Anna ran in terms of :

Since we know that Anna ran a total of  miles, we can then write the following equation:

Nelson ran  miles.

Example Question #86 : Algebra 1

Steve has  remaining after paying  for a salad. How much money did Steve have before buying the salad?

Possible Answers:

Correct answer:

Explanation:

Let  be the amount of money Steve had before he paid for the salad.

Since he spent , we can then write the following equation:

To solve for , add  to both sides.

Steve had  before paying for the salad.

Example Question #87 : Algebra 1

If a box of chocolates costs , how many boxes of chocolate can you buy with ?

Possible Answers:

Correct answer:

Explanation:

Let  be the number of boxes of chocolate that you can buy.

Since we know that each box costs , we can write the following equation:

To solve for , divide both sides by .

You can buy  boxes of chocolate with .

Example Question #82 : How To Solve One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for , multiply both sides by .

Example Question #83 : How To Solve One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for , add  to both sides of the equation.

Example Question #84 : How To Solve One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for , divide both sides by .

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