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

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

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

Possible Answers:

Correct answer:

Explanation:

To isolate  on one side, subtract seven from both sides

 

 

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

Possible Answers:

Correct answer:

Explanation:

To solve the equation for , you must isolate  on one side.  Here you can divide both sides by 3.

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

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve equations, you must perform the same operations on both sides.

Subtract 5 from both sides.

Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for

 

Possible Answers:

Correct answer:

Explanation:

In order to solve a one step equation, we want to isolate the variable. To do this, we pay special attention to what is being done to the variable. In this case we are multiplying the variable by . To "undo" this, we use the inverse of multiplication, which is division; thus we divide by  on both sides. Note that we are dividing by  since that is what is being multiplied; don't be tricked into dividing by .

Dividing both sides by , we get .

Example Question #5 : 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 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 #6 : 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 s cancel on the left side and leave  by itself.

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

 

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

Solve for

Possible Answers:

Correct answer:

Explanation:

Remembering the final goal is to get the  alone on one side of the equation.

To get rid of the , we perform the opposite operation. We add  to each side of the equation, cancelling out the  on the left side.

This brings the equation to

 

Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

If  what is   ?

Possible Answers:

Correct answer:

Explanation:

If  you put  in for . Therefore it becomes .

 

Finally,

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

Simplify:

Possible Answers:

Correct answer:

Explanation:

First you multiply the coefficients .

Then you multiply According to the laws of exponents, when you multiply two numbers with similar bases (both  in this case) then you simply add the exponents .

Therefore, the final answer is 

Example Question #10 : 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 's on the left side cancel to get 

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

Learning Tools by Varsity Tutors