Pre-Algebra : One-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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Example Question #1 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

Isolate the variable to one side.

Subtract  from both sides:

 

Example Question #1 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

We need to isolate by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided by , you also have to divde by :

 

 

Example Question #3 : One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve this you must isolate your  by subtracting 1 from both sides to get

 or 

Example Question #4 : One Step Equations

Solve for x: 

Possible Answers:

Correct answer:

Explanation:

Step 1: isolate x

Step 2: solve

 

If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:

Example Question #2 : One Step Equations With Integers

Solve for :

Possible Answers:

9

4

7

6

8

Correct answer:

8

Explanation:

To solve this equation, isolate  by dividing both sides of the equation by 8:

 

Example Question #6 : One Step Equations

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate the variable. Since 3x is a multiplication operation, do the opposite (division) to remove the 3. Keep in mind that you must do the same step on each side of the equation every time you change something.

Example Question #4 : One Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

To solve this equation, you must isolate the variable. In order to do this, do the opposite operation (division) to move the 9 to the other side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.

Your result shoud look like this:

Example Question #5 : One Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

Isolate the variable by dividng both sides by 2:

Your answer should be the following:

 

Example Question #6 : One Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate the variable. To do this, move the 2 to the other side of the equation. Do this by doing the opposite operation (division). Keep in mind you must do the same step on each side of the equation every time you change something.

Your answer should look like this: 

Example Question #7 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

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