Pre-Algebra : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #52 : Two Step Equations With Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Add 18 on both sides of the equation.

Divide both sides by six.

The six in the numerator and in the denominator cancel and we are left with,

.

Example Question #53 : Two Step Equations With Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides of the equation.

Subtract  from both sides of the equation.

Divide by  on both sides of the equation.

Example Question #54 : Two Step Equations With Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add  to both sides of the equation.

Add  on both sides.

Divide by  on both sides.

Example Question #55 : Two Step Equations With Integers

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

To solve for the unknown variable, subtract 15 from both sides.

Divide by negative five on both sides.

Example Question #56 : Two Step Equations With Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve for , first subtract  from both sides of the equation.

Simplify the equation.

To isolate , divide by three on both sides of the equation.

Simplify both sides by division.

Example Question #51 : Two Step Equations With Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

Add 8 to each side

Divide each side by 16

Example Question #58 : Two Step Equations With Integers

Solve for  in the following equation:

Possible Answers:

Correct answer:

Explanation:

When solving for a, we want to get a by itself.  

To do that, we must first subtract 12 from both sides. 

Now, we divide both sides by 5.

Example Question #59 : Two Step Equations With Integers

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve for , we have to isolate it to one side, as follows:

 

Example Question #60 : Two Step Equations With Integers

This is a two step equation which takes two steps to solve.

Possible Answers:

Correct answer:

Explanation:

In this problem we must solve for x. We must isolate the variable x in order to solve the problem. The first step is to add 4 to both sides of the equation as follows:

The second step is to divide by 3 on both sides as follows:

You can check your answer:

It works!

 

Example Question #111 : Algebraic Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

When solving for x, we must get x to be by itself.  So,

we subtract 12 from both sides.  We get,

Now, we divide both sides by 4.  We get

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