High School Math : How to solve one-step equations

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , add  to both sides.

Example Question #1 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we need to add  to both sides.

Example Question #396 : High School Math

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , you can either plug it into your calculator or realize that . Therefore, we are looking for half of five, which is .

Mathematically, that means:

Example Question #5 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we first need to isolate it. That means we want ONLY  on the left side of the equation. 

Subtract  from both sides.

Example Question #2 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for if .

Possible Answers:

Correct answer:

Explanation:

To solve for , we must move all of the constants to the other side of the equation as .

To do this in a problem where  is being multiplied by a number, we must divide both sides of the equation by the number.

In this case the number is , so we divide each side of the equation by  to make it look like this:

Then we must divide the decimals by each other to find the answer.

To divide decimals we line the decimals up like this:

Then, ignoring all of the decimal places, we divide the top number by the bottom number to get .

Then we must move the decimals.

The number of decimal places in the denominator will be subtracted from the number of decimal places in the numerator to get the number of places to move the decimal point.

If the number is positive, we move the decimal that number of places to the left of our number.

If the number is negative, we move the decimal that number of places to the right of our number.

In this case the subtraction yields , so we move the decimal  place to the right of  to get  .

The answer is .

Example Question #7 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for if .

Possible Answers:

Correct answer:

Explanation:

To solve for , we must isolate .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is , so we subtract  from each side of the equation to make it look like this:

The numbers on the left side cancel to leave  by itself.

The answer is then .

Example Question #11 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate . That means we want only on the left side of the equation.

Divide both sides by .

Example Question #12 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for  when 

Possible Answers:

Correct answer:

Explanation:

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where  is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is  so we add  to each side of the equation to make it look like this 

The numbers on the left side cancel to leave  by itself.

Then we must perform the necessary addition to get the answer.

To add decimals together you place the decimals one over the top of the other aligned by the decimal point.

Then add each place with the appropriately aligned number to get a result for each number.

In this case the decimals will add together like this 

The answer is .

Example Question #13 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for  when 

Possible Answers:

Correct answer:

Explanation:

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is  so we subtract  from each side of the equation to make it look like this 

The numbers on the left side cancel to leave  by itself.

To do the necessary subtraction we need to know how to subtract decimals from each other.

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point.

Then go through each place and subtract the top number by the bottom number.

Subtract the numbers in each place like you would any number.

Then combine them keeping the decimal in the same place to get .

The answer is .

Example Question #11 : How To Solve One Step Equations With Decimals In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we want just  on the left hand side.

To do that, we need to divide both sides by .

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