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 #31 : How To Solve One Step Equations With Integers 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.

Divide both sides by .

Example Question #32 : How To Solve One Step Equations With Integers In Pre Algebra

Solve 

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 #33 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for  if, 

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  cancel on the left side and leave  by itself 

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

Example Question #31 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for  if

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  on the left side cancel to get 

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

 

Example Question #35 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Divide both sides by .

Example Question #36 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if .

Possible Answers:

Correct answer:

Explanation:

To solve for , we must move all of the constants to the opposite 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 #31 : How To Solve One Step Equations

Solve for if .

Possible Answers:

Correct answer:

Explanation:

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

To do this in a problem where  is being divided by a constant, we must multiply both sides of the equation by that constant.

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

The s on the left cancel to give us .

Multiply to find .

Example Question #38 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for if .

Possible Answers:

Correct answer:

Explanation:

To solve for  we must get all of the constants 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:

The s on the left side cancel:

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

Example Question #39 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

Possible Answers:

Correct answer:

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable  in this equation is being multiplied by 4. The opposite operation to multiplication is division; therefore, we divide both sides of the equation by 4:

Example Question #321 : High School Math

Solve the following equation for :

Possible Answers:

Correct answer:

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being divided by 5. The opposite operation to division is multiplication; therefore, we multiply both sides of the equation by 5:

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