High School Math : How to solve one-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #51 : How To Solve One Step Equations With Integers 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 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 

The 's cancel to leave  by itself 

Then we perform the necessary division to get the answer of .

Example Question #52 : How To Solve One Step Equations With Integers 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 's cancel on the left side and leave  by itself

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

Example Question #53 : How To Solve One Step Equations With Integers 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 's on the left side cancel to get 

Then we perform the necessary subtraction to get the answer of  .

Example Question #54 : How To Solve One Step Equations With Integers 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 divided by a number, we must multiply both sides of the equation by the number.

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

The 's on the left side cancel so we only have 

Then we perform the necessary multiplication to get the answer of .

Example Question #51 : How To Solve One Step Equations With Integers 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 divided by a number, we must multiply both sides of the equation by the number.

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

The 's on the left side cancel so we only have

Then we perform the necessary multiplication to get the answer of .

Example Question #56 : How To Solve One Step Equations With Integers 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 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 

The 's cancel to leave  by itself 

Then we perform the necessary division to get the answer of .

Example Question #57 : How To Solve One Step Equations With Integers 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 's cancel on the left side and leave  by itself 

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

Example Question #58 : How To Solve One Step Equations With Integers 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 's on the left side cancel to get 

Then we perform the necessary subtraction to get the answer of  .

Example Question #341 : High School Math

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #60 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for

 

Possible Answers:

There are infinite solutions

There is no solution

Correct answer:

Explanation:

When solving a one-step equation it is important to remember to isolate  by performing the inverse operations. Note that in our original equation,  is being added to . Thus, we want to subtract  from both sides to do the inverse operation. 

Then, 

So, 

 

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