Pre-Algebra : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #2 : 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 #3 : 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 #1 : 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 #4 : 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 #2 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

Divide both sides of the equation by 6:

Your result should be:

Example Question #11 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides:

         

Your result should be:

Example Question #11 : One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Subtract 23 from both sides:

Your result should be:

Example Question #12 : One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Divide both sides of the equation by 3:

Example Question #13 : One Step Equations

Solve the following: 

Possible Answers:

Correct answer:

Explanation:

Since both numbers are the same sign (negative), we can add them. 

Remember to keep the sign! In this case, the answer is negative. 

Example Question #14 : One Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

In order to isolate  on one side, we add 8 to both sides. 

This gives us: 

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