Pre-Algebra : Two-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #11 : Two Step Equations With Integers

Simplify as much as possible 

Possible Answers:

Correct answer:

Explanation:

Using the foil method we have the following

First: 

Inner: 

Outer: 

Last: 

When that is simplified we are left with 

Example Question #11 : Two Step Equations With Integers

Solve the equation below for :

Possible Answers:

Correct answer:

Explanation:

For two step equations,  is isolated to one by simplifying any whole numbers. 

In this case, we can subtract 12 from both sides to simpliy the equation to:



This simplifies to: 



We can multiply both sides by the variable  to get:



Which simplifies to: 



Dividing both sides by five gives us: 

Example Question #12 : Two Step Equations With Integers

Solve for 

Possible Answers:

18

2

6

48

9

Correct answer:

18

Explanation:

In order to solve this equation, we must isolate . Begin by subtracting 5 from both sides:

Now, multiply both sides of the equation by 3 to find :

The answer is 18.

 

 

Example Question #13 : Two Step Equations

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. Add 5 to each side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.

       

The equation should look like this:

Then, isolate the variable by moving the 2 to the other side of the equation. Do this by dividing:

Your result should be the following:

Example Question #14 : Two Step Equations

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 9 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

      

The equation should now look like this:

Then, isolate the variable by moving the 3 to the other side of the equation. Do this by dividing:

Your answer should be as follows:

Example Question #13 : Two Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 63 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

      

Your equation should now look like this:

Next, isolate your variable by moving the 6 to the other side of the equation using division:

Your result should look like this:

 

Example Question #14 : Two Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 40 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

       

The equation should now look like this:

Then, divide by 6:

The result should be the following:

Example Question #13 : Two Step Equations With Integers

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 6 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

      

The equation should now look like this:

Then, divide both sides of the equation by 8:

The result should be the following:

Example Question #18 : Two Step Equations

Solve for :


Possible Answers:

Correct answer:

Explanation:

Example Question #19 : Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Add 2 to both sides:

      

The equation should now look this:

Divide both sides by 4:

 

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